13792388122920960
13,792,388,122,920,960 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13792388122920960 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
13792388122920960 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 13792388122920960:
211 × 32 × 5 × 72 × 53 × 409 × 140897
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 53 × 409 × 140897)See below for interesting mathematical facts about the number 13792388122920960 from the Numbermatics database.
Names of 13792388122920960
- Cardinal: 13792388122920960 can be written as Thirteen quadrillion, seven hundred ninety-two trillion, three hundred eighty-eight billion, one hundred twenty-two million, nine hundred twenty thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.379238812292096 × 1016
Factors of 13792388122920960
Divisors of 13792388122920960
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 49 53 56 60 63 64 70 72 80 84 90 96 98 105 106 112 120 126 128 140 144 147 159 160 168 180 192 196 210 212 224 240 245 252 256 265 280 288 294 315 318 320 336 360 371 384 392 409 420 424 441 448 477 480 490 504 512 530 560 576 588 630 636 640 672 720 735 742 768 784 795 818 840 848 882 896 954 960 980 1008 1024 1060 1113 1120 1152 1176 1227 1260 1272 1280 1344 1440 1470 1484 1536 1568 1590 1636 1680 1696 1764 1792 1855 1908 1920 1960 2016 2045 2048 2120 2205 2226 2240 2304 2352 2385 2454 2520 2544 2560 2597 2688 2863 2880 2940 2968 3072 3136 3180 3272 3339 3360 3392 3528 3584 3681 3710 3816 3840 3920 4032 4090 4240 4410 4452 4480 4608 4704 4770 4908 5040 5088 5120 5194 5376 5565 5726 5760 5880 5936 6135 6144 6272 6360 6544 6678 6720 6784 7056 7168 7362 7420 7632 7680 7791 7840 8064 8180 8480 8589 8820 8904 8960 9216 9408 9540 9816 10080 10176 10240 10388 10752 11130 11452 11520 11760 11872 12270 12544 12720 12985 13088 13356 13440 13568 14112 14315 14336 14724 14840 15264 15360 15582 15680 16128 16360 16695 16960 17178 17640 17808 17920 18405 18432 18816 19080 19632 20041 20160 20352 20776 21504 21677 22260 22904 23040 23373 23520 23744 24540 25088 25440 25767 25970 26176 26712 26880 27136 28224 28630 29448 29680 30528 30720 31164 31360 32256 32720 33390 33920 34356 35280 35616 35840 36810 37632 38160 38955 39264 40082 40320 40704 41552 42945 43008 43354 44520 45808 46080 46746 47040 47488 49080 50176 50880 51534 51940 52352 53424 53760 54272 56448 57260 58896 59360 60123 61056 62328 62720 64512 65031 65440 66780 67840 68712 70560 71232 71680 73620 75264 76320 77910 78528 80164 80640 81408 83104 85890 86708 89040 91616 92160 93492 94080 94976 98160 100205 100352 101760 103068 103880 104704 106848 107520 108385 108544 112896 114520 116865 117792 118720 120246 122112 124656 125440 128835 129024 130062 130880 133560 135680 137424 140897 141120 142464 147240 150528 151739 152640 155820 157056 160328 161280 162816 166208 171780 173416 178080 180369 183232 186984 188160 189952 195093 196320 200410 203520 206136 207760 209408 213696 215040 216770 225792 229040 233730 235584 237440 240492 244224 249312 250880 257670 260124 261760 267120 271360 274848 281794 282240 284928 294480 300615 301056 303478 305280 311640 314112 320656 322560 325155 325632 332416 343560 346832 356160 360738 366464 373968 376320 379904 390186 392640 400820 407040 412272 415520 418816 422691 427392 433540 451584 455217 458080 467460 471168 474880 480984 488448 498624 501760 515340 520248 523520 534240 542720 549696 563588 564480 569856 588960 601230 606956 610560 623280 628224 641312 645120 650310 664832 687120 693664 704485 712320 721476 732928 747936 752640 758695 759808 780372 785280 801640 814080 824544 831040 837632 845382 854784 867080 901845 903168 910434 916160 934920 942336 949760 961968 975465 976896 986279 997248 1030680 1040496 1047040 1062173 1068480 1099392 1127176 1128960 1139712 1177920 1202460 1213912 1221120 1246560 1256448 1268073 1282624 1300620 1329664 1365651 1374240 1387328 1408970 1424640 1442952 1465856 1495872 1505280 1517390 1560744 1570560 1603280 1628160 1649088 1662080 1690764 1709568 1734160 1803690 1820868 1832320 1869840 1884672 1899520 1923936 1950930 1972558 1994496 2061360 2080992 2094080 2113455 2124346 2136960 2198784 2254352 2257920 2276085 2279424 2355840 2404920 2427824 2442240 2493120 2512896 2536146 2565248 2601240 2659328 2731302 2748480 2774656 2817940 2849280 2885904 2931712 2958837 2991744 3034780 3121488 3141120 3186519 3206560 3298176 3324160 3381528 3419136 3468320 3607380 3641736 3664640 3739680 3769344 3799040 3847872 3901860 3945116 3988992 4122720 4161984 4188160 4226910 4248692 4273920 4397568 4508704 4515840 4552170 4711680 4809840 4855648 4884480 4931395 4986240 5072292 5130496 5202480 5310865 5318656 5462604 5496960 5549312 5635880 5698560 5771808 5863424 5917674 5983488 6069560 6242976 6282240 6340365 6373038 6413120 6596352 6648320 6763056 6828255 6838272 6903953 6936640 7214760 7283472 7329280 7467541 7479360 7538688 7695744 7803720 7890232 7977984 8245440 8323968 8453820 8497384 8547840 8795136 8876511 9017408 9104340 9423360 9559557 9619680 9711296 9862790 9972480 10144584 10260992 10404960 10621730 10925208 10993920 11098624 11271760 11397120 11543616 11835348 11966976 12139120 12485952 12564480 12680730 12746076 12826240 13192704 13296640 13526112 13656510 13807906 13873280 14429520 14566944 14658560 14794185 14935082 14958720 15391488 15607440 15780464 15932595 15955968 16490880 16647936 16907640 16994768 17095680 17590272 17753022 18034816 18208680 18846720 19119114 19239360 19422592 19725580 19944960 20289168 20521984 20711859 20809920 21243460 21850416 21987840 22197248 22402623 22543520 23087232 23670696 23933952 24278240 24971904 25361460 25492152 25652480 26385408 26593280 27052224 27313020 27615812 27746560 28859040 29133888 29317120 29588370 29870164 29917440 30782976 31214880 31560928 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73762397440 75272813280 76467619840 77450517312 79533538560 80291000832 82982697120 84711503310 85518279532 86026072320 87818282160 88514876928 90358936864 90895472640 91626728070 93672834304 96813146640 97735176608 97889863680 100363751040 101653803972 103267356416 105381938592 106044718080 106897849415 107054667776 109952073684 110643596160 112948671080 114701429760 116175775968 117091042880 118019835904 120436501248 122168970760 127067254965 127253661696 128277419298 129084195520 131727423240 132772315392 133818334720 135538405296 137440092105 137641715712 140509251456 145219719960 146602764912 147524794880 149656989181 150545626560 154901034624 159067077120 160582001664 165965394240 169423006620 171036559064 172052144640 175636564320 177029753856 180717873728 183253456140 187345668608 192416128947 193626293280 195470353216 200727502080 203307607944 206534712832 210763877184 212089436160 213795698830 219904147368 221287192320 225897342160 229402859520 232351551936 234182085760 240873002496 244337941520 254134509930 256554838596 258168391040 263454846480 265544630784 267636669440 271076810592 274880184210 281018502912 290439439920 293205529824 295049589760 299313978362 301091253120 309802069248 318134154240 320693548245 321164003328 331930788480 338846013240 342073118128 344104289280 351273128640 354059507712 361435747456 366506912280 374691337216 384832257894 387252586560 390940706432 401455004160 406615215888 413069425664 421527754368 427591397660 439808294736 442574384640 448970967543 451794684320 464703103872 468364171520 481746004992 488675883040 508269019860 513109677192 516336782080 526909692960 531089261568 535273338880 542153621184 549760368420 562037005824 580878879840 586411059648 590099179520 598627956724 602182506240 619604138496 636268308480 641387096490 663861576960 677692026480 684146236256 688208578560 702546257280 722871494912 733013824560 748284945905 749382674432 769664515788 774505173120 781881412864 802910008320 813230431776 826138851328 843055508736 855182795320 879616589472 885148769280 897941935086 903589368640 929406207744 936728343040 962080644735 963492009984 977351766080 1016538039720 1026219354384 1032673564160 1053819385920 1062178523136 1084307242368 1099520736840 1124074011648 1161757759680 1172822119296 1197255913448 1204365012480 1239208276992 1282774192980 1327723153920 1346912902629 1355384052960 1368292472512 1405092514560 1445742989824 1466027649120 1496569891810 1539329031576 1549010346240 1563762825728 1605820016640 1626460863552 1686111017472 1710365590640 1759233178944 1770297538560 1795883870172 1807178737280 1858812415488 1873456686080 1924161289470 1954703532160 2033076079440 2052438708768 2065347128320 2107638771840 2168614484736 2199041473680 2244854837715 2248148023296 2323515519360 2345644238592 2394511826896 2408730024960 2478416553984 2565548385960 2655446307840 2693825805258 2710768105920 2736584945024 2810185029120 2891485979648 2932055298240 2993139783620 3078658063152 3098020692480 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16264608635520 16419509670144 16861110174720 17348915877888 17592331789440 17958838701720 18588124154880 18765153908736 19156094615168 20524387087680 21550606442064 21686144847360 21892679560192 23456442385920 23945118268960 24629264505216 26023373816832 26938258052580 27365849450240 28147730863104 28734141922752 28914859796480 30786580631520 31275256514560 32529217271040 32839019340288 33722220349440 35184663578880 35917677403440 37176248309760 38312189230336 41048774175360 43101212884128 43372289694720 43785359120384 46912884771840 47890236537920 49258529010432 52046747633664 53876516105160 54731698900480 56295461726208 57468283845504 61573161263040 65058434542080 65678038680576 70369327157760 71835354806880 76624378460672 82097548350720 86202425768256 86744579389440 93825769543680 95780473075840 98517058020864 107753032210320 109463397800960 114936567691008 123146322526080 130116869084160 131356077361152 140738654315520 143670709613760 153248756921344 164195096701440 172404851536512 191560946151680 197034116041728 215506064420640 218926795601920 229873135382016 246292645052160 260233738168320 281477308631040 287341419227520 306497513842688 328390193402880 344809703073024 383121892303360 394068232083456 431012128841280 459746270764032 492585290104320 574682838455040 656780386805760 689619406146048 766243784606720 862024257682560 919492541528064 985170580208640 1149365676910080 1379238812292096 1532487569213440 1724048515365120 1970341160417280 2298731353820160 2758477624584192 3448097030730240 4597462707640320 6896194061460480 13792388122920960
- Sum of all divisors σ(n): 56794438402556400
- Sum of proper divisors (its aliquot sum) s(n): 43002050279635440
- 13792388122920960 is an abundant number, because the sum of its proper divisors (43002050279635440) is greater than itself. Its abundance is 29209662156714480
Bases of 13792388122920960
- Binary: 1100010000000000011010100110101010101111001000000000002
- Hexadecimal: 0x31001A9AABC800
- Base-36: 3RSZRMRH8G0
Squares and roots of 13792388122920960
- 13792388122920960 squared (137923881229209602) is 190229970133291162414522407321600
- 13792388122920960 cubed (137923881229209603) is 2623725580690013978547587519982560230282100736000
-
The
square root of 13792388122920960 is 117440998.4754938977 -
The
cube root of 13792388122920960 is 239816.9212744627
Scales and comparisons
How big is 13792388122920960?- 13,792,388,122,920,960 seconds is equal to 438,555,279 years, 33 weeks, 6 days, 1 hour, 36 minutes.
-
To count from 1 to 13,792,388,122,920,960 would take you about one billion, three hundred fifteen million, six hundred sixty-five thousand, eight hundred thirty-eight years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 13792388122920960 cubic inches would be around 19984.7 feet tall.
Recreational maths with 13792388122920960
- 13792388122920960 backwards is 06902922188329731
- 13792388122920960 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13792388122920960's digits is 72
- More coming soon!
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Cite this page
MLA style:
"Number 13792388122920960 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
APA style:
Numbermatics. (2024). Number 13792388122920960 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/13792388122920960/
Chicago style:
Numbermatics. 2024. "Number 13792388122920960 - Facts about the integer". https://numbermatics.com/n/13792388122920960/
The information we have on file for 13792388122920960 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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