138917892960
138,917,892,960 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138917892960 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1296 divisors.
138917892960 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 138917892960:
25 × 32 × 5 × 72 × 112 × 53 × 307
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 11 × 11 × 53 × 307)See below for interesting mathematical facts about the number 138917892960 from the Numbermatics database.
Names of 138917892960
- Cardinal: 138917892960 can be written as One hundred thirty-eight billion, nine hundred seventeen million, eight hundred ninety-two thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.3891789296 × 1011
Factors of 138917892960
Divisors of 138917892960
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 28 30 32 33 35 36 40 42 44 45 48 49 53 55 56 60 63 66 70 72 77 80 84 88 90 96 98 99 105 106 110 112 120 121 126 132 140 144 147 154 159 160 165 168 176 180 196 198 210 212 220 224 231 240 242 245 252 264 265 280 288 294 307 308 315 318 330 336 352 360 363 371 385 392 396 420 424 440 441 462 477 480 484 490 495 504 528 530 539 560 583 588 605 614 616 630 636 660 672 693 720 726 735 742 770 784 792 795 840 847 848 880 882 921 924 954 968 980 990 1008 1056 1060 1078 1089 1113 1120 1155 1166 1176 1210 1228 1232 1260 1272 1320 1386 1440 1452 1470 1484 1535 1540 1568 1584 1590 1617 1680 1694 1696 1749 1760 1764 1815 1842 1848 1855 1908 1936 1960 1980 2016 2120 2149 2156 2178 2205 2226 2310 2332 2352 2385 2420 2456 2464 2520 2541 2544 2597 2640 2695 2763 2772 2904 2915 2940 2968 3070 3080 3168 3180 3234 3339 3360 3377 3388 3465 3498 3528 3630 3684 3696 3710 3816 3872 3920 3960 4081 4235 4240 4298 4312 4356 4410 4452 4605 4620 4664 4704 4770 4840 4851 4912 5040 5082 5088 5194 5247 5280 5390 5445 5526 5544 5565 5808 5830 5880 5929 5936 6140 6160 6360 6413 6447 6468 6678 6754 6776 6930 6996 7056 7260 7368 7392 7420 7623 7632 7791 7840 7920 8085 8162 8470 8480 8596 8624 8712 8745 8820 8904 9210 9240 9328 9540 9680 9702 9824 10080 10131 10164 10388 10494 10745 10780 10890 11052 11088 11130 11616 11660 11760 11858 11872 12243 12280 12320 12705 12720 12826 12894 12936 12985 13356 13508 13552 13815 13860 13992 14112 14520 14736 14840 15043 15246 15264 15582 15840 16170 16271 16324 16695 16885 16940 17192 17248 17424 17490 17640 17787 17808 18420 18480 18656 19080 19239 19341 19360 19404 20262 20328 20405 20776 20988 21490 21560 21780 22104 22176 22260 23320 23373 23520 23639 23716 24255 24486 24560 25410 25440 25652 25788 25872 25970 26235 26712 27016 27104 27630 27720 27984 28567 29040 29472 29645 29680 30086 30393 30492 31164 32065 32235 32340 32542 32648 33390 33770 33880 34384 34848 34980 35280 35574 35616 36729 36840 36960 37147 38115 38160 38478 38682 38808 38955 40524 40656 40810 41552 41976 42980 43120 43560 44208 44520 44891 45129 46640 46746 47278 47432 48510 48813 48972 49120 50655 50820 51304 51576 51744 51940 52470 53361 53424 54032 55260 55440 55968 57134 57717 58080 59290 59360 60172 60786 60984 61215 62328 64130 64470 64680 65084 65296 66780 67540 67760 68768 69960 70560 70917 71148 73458 73680 74294 75215 76230 76320 76956 77364 77616 77910 81048 81312 81355 81620 83104 83952 85701 85960 86240 87120 88416 88935 89040 89782 90258 93280 93492 94556 94864 96195 96705 97020 97626 97944 101310 101640 102608 103152 103880 104940 106722 106848 108064 110520 110880 111441 113897 114268 115434 116865 118195 118580 120344 121572 121968 122430 124656 128260 128940 129360 130168 130592 133560 134673 135080 135387 135520 139920 141834 142296 142835 146439 146916 147360 148588 150430 151965 152460 153912 154728 155232 155820 162096 162710 163240 165473 167904 171402 171920 174240 177870 178080 178981 179564 180516 183645 185735 186984 189112 189728 192390 193410 194040 195252 195888 202620 203280 205216 206304 207760 209880 212751 213444 221040 222882 224455 225645 227794 228536 230868 233730 236390 237160 240688 243144 243936 244065 244860 249312 256520 257103 257880 258720 260029 260336 266805 267120 269346 270160 270774 279840 283668 284592 285670 288585 292878 293832 297176 300860 303930 304920 307824 309456 311640 314237 324192 325420 326480 330946 334323 341691 342804 343840 354585 355740 357962 359128 361032 367290 371470 373968 378224 384780 386820 388080 390504 391776 404019 405240 406560 415520 419760 425502 426888 428505 442080 445764 448910 451290 455588 457072 461736 467460 472780 474320 481376 486288 488130 489720 496419 513040 514206 515760 520058 520672 533610 534240 536943 538692 540320 541548 557205 567336 569184 569485 571340 577170 585756 587664 594352 601720 607860 609840 615648 618912 623280 628474 650840 652960 661892 668646 673365 676935 683382 685608 709170 711480 715924 718256 722064 732195 734580 742940 747936 756448 769560 773640 776160 780087 781008 797279 808038 810480 827365 839520 851004 853776 857010 891528 894905 897820 902580 911176 914144 923472 934920 942711 945560 948640 972576 976260 979440 992838 1025073 1026080 1028412 1031520 1040116 1063755 1067220 1073886 1077384 1083096 1114410 1134672 1138970 1142680 1154340 1171512 1175328 1188704 1203440 1215720 1219680 1246560 1252867 1256948 1285515 1300145 1301680 1323784 1337292 1346730 1353870 1366764 1371216 1418340 1422960 1431848 1436512 1444128 1464390 1469160 1485880 1489257 1539120 1547280 1560174 1562016 1571185 1594558 1610829 1616076 1620960 1654730 1671615 1702008 1707552 1708455 1714020 1783056 1789810 1795640 1805160 1820203 1822352 1846944 1869840 1885422 1891120 1952520 1958880 1968791 1985676 2020095 2050146 2056824 2080232 2127510 2134440 2147772 2154768 2166192 2228820 2269344 2277940 2285360 2308680 2340261 2343024 2391837 2406880 2431440 2482095 2505734 2513896 2571030 2600290 2603360 2647568 2674584 2684715 2693460 2707740 2733528 2742432 2828133 2836680 2845920 2863696 2928780 2938320 2971760 2978514 3078240 3094560 3120348 3142370 3189116 3221658 3232152 3309460 3343230 3404016 3416910 3428040 3566112 3579620 3591280 3610320 3640406 3644704 3739680 3758601 3770844 3782240 3900435 3905040 3937582 3971352 3986395 4040190 4100292 4113648 4160464 4255020 4268880 4295544 4309536 4332384 4457640 4555880 4570720 4617360 4680522 4686048 4713555 4783674 4862880 4964190 5011468 5027792 5125365 5142060 5200580 5295136 5349168 5369430 5386920 5415480 5460609 5467056 5656266 5673360 5727392 5857560 5876640 5906373 5943520 5957028 6240696 6264335 6284740 6378232 6443316 6464304 6618920 6686460 6808032 6833820 6856080 7159240 7175511 7182560 7220640 7280812 7446285 7517202 7541688 7800870 7810080 7875164 7942704 7972790 8054145 8080380 8200584 8227296 8320928 8510040 8537760 8591088 8770069 8915280 9101015 9111760 9234720 9361044 9427110 9567348 9843955 9928380 10022936 10055584 10250730 10284120 10401160 10698336 10738860 10773840 10830960 10921218 10934112 11275803 11312532 11346720 11701305 11715120 11812746 11914056 11959185 12481392 12528670 12569480 12756464 12886632 12928608 13237840 13372920 13667640 13712160 13781537 14140665 14318480 14351022 14561624 14892570 15034404 15083376 15601740 15750328 15885408 15945580 16108290 16160760 16381827 16401168 17020080 17182176 17540138 17719119 17830560 18202030 18223520 18722088 18793005 18854220 19134696 19687910 19856760 20045872 20501460 20568240 20802320 21477720 21547680 21661920 21842436 22551606 22625064 23402610 23430240 23625492 23828112 23918370 24962784 25057340 25138960 25512928 25773264 26310207 26475680 26745840 27303045 27335280 27563074 28281330 28636960 28702044 29123248 29531865 29785140 30068808 30166752 31203480 31500656 31891160 32216580 32321520 32763654 32802336 34040160 35080276 35438238 35877555 36404060 37444176 37586010 37708440 38269392 39375820 39713520 40091744 41002920 41136480 41344611 41604640 42955440 43684872 43850345 45103212 45250128 46805220 47250984 47656224 47836740 50114680 50277920 51546528 52620414 53491680 54606090 54670560 55126148 56379015 56562660 57404088 58246496 59063730 59570280 60137616 62406960 63001312 63782320 64433160 64643040 65527308 68907685 70160552 70876476 71755110 72808120 74888352 75172020 75416880 76538784 78751640 78930621 79427040 81909135 82005840 82689222 85910880 87369744 87700690 88595595 90206424 90500256 93610440 94501968 95673480 96470759 100229360 105240828 109212180 110252296 112758030 113125320 114808176 118127460 119140560 120275232 124033833 124813920 127564640 128866320 131054616 131551035 137815370 140321104 141752952 143510220 145616240 150344040 150833760 157503280 157861242 163818270 164011680 165378444 174739488 175401380 177191190 180412848 187220880 189003936 191346960 192941518 200458720 206723055 210481656 218424360 220504592 225516060 226250640 229616352 236254920 238281120 248067666 257732640 262109232 263102070 275630740 280642208 283505904 287020440 289412277 291232480 300688080 315006560 315722484 327636540 330756888 350802760 354382380 360825696 374441760 382693920 385883036 394653105 413446110 420963312 436848720 441009184 451032120 452501280 472509840 482353795 496135332 524218464 526204140 551261480 567011808 574040880 578824554 601376160 620169165 631444968 655273080 661513776 701605520 708764760 771766072 789306210 826892220 841926624 868236831 873697440 902064240 945019680 964707590 992270664 1052408280 1102522960 1148081760 1157649108 1240338330 1262889936 1310546160 1323027552 1403211040 1417529520 1447061385 1543532144 1578612420 1653784440 1736473662 1804128480 1929415180 1984541328 2104816560 2205045920 2315298216 2480676660 2525779872 2621092320 2835059040 2894122770 3087064288 3157224840 3307568880 3472947324 3858830360 3969082656 4209633120 4341184155 4630596432 4961353320 5788245540 6314449680 6615137760 6945894648 7717660720 8682368310 9261192864 9922706640 11576491080 12628899360 13891789296 15435321440 17364736620 19845413280 23152982160 27783578592 34729473240 46305964320 69458946480 138917892960
- Sum of all divisors σ(n): 619592461488
- Sum of proper divisors (its aliquot sum) s(n): 480674568528
- 138917892960 is an abundant number, because the sum of its proper divisors (480674568528) is greater than itself. Its abundance is 341756675568
Bases of 138917892960
- Binary: 100000010110000010011011010011011000002
- Hexadecimal: 0x205826D360
- Base-36: 1RTG4K80
Squares and roots of 138917892960
- 138917892960 squared (1389178929602) is 19298180984446017561600
- 138917892960 cubed (1389178929603) is 2680862640319979292520629006336000
-
The
square root of 138917892960 is 372716.9072634081 -
The
cube root of 138917892960 is 5179.0813077359
Scales and comparisons
How big is 138917892960?- 138,917,892,960 seconds is equal to 4,417 years, 8 weeks, 1 day, 23 hours, 36 minutes.
-
To count from 1 to 138,917,892,960 would take you about eight thousand, eight hundred thirty-four 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 138917892960 cubic inches would be around 431.6 feet tall.
Recreational maths with 138917892960
- 138917892960 backwards is 069298719831
- 138917892960 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138917892960's digits is 63
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138917892960 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
APA style:
Numbermatics. (2024). Number 138917892960 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/138917892960/
Chicago style:
Numbermatics. 2024. "Number 138917892960 - Facts about the integer". https://numbermatics.com/n/138917892960/
The information we have on file for 138917892960 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!
Keywords: Divisors of 138917892960, math, Factors of 138917892960, curriculum, school, college, exams, university, Prime factorization of 138917892960, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight billion, nine hundred seventeen million, eight hundred ninety-two thousand, nine hundred sixty.