138712093736832
138,712,093,736,832 is an even composite number composed of six prime numbers multiplied together.
What does the number 138712093736832 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1920 divisors.
138712093736832 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 138712093736832:
27 × 33 × 7 × 11 × 174 × 792
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 11 × 17 × 17 × 17 × 17 × 79 × 79)See below for interesting mathematical facts about the number 138712093736832 from the Numbermatics database.
Names of 138712093736832
- Cardinal: 138712093736832 can be written as One hundred thirty-eight trillion, seven hundred twelve billion, ninety-three million, seven hundred thirty-six thousand, eight hundred thirty-two.
Scientific notation
- Scientific notation: 1.38712093736832 × 1014
Factors of 138712093736832
Divisors of 138712093736832
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 17 18 21 22 24 27 28 32 33 34 36 42 44 48 51 54 56 63 64 66 68 72 77 79 84 88 96 99 102 108 112 119 126 128 132 136 144 153 154 158 168 176 187 189 192 198 204 216 224 231 237 238 252 264 272 288 289 297 306 308 316 336 352 357 374 378 384 396 408 432 448 459 462 474 476 504 528 544 553 561 576 578 594 612 616 632 672 693 704 711 714 748 756 792 816 864 867 869 896 918 924 948 952 1008 1056 1071 1088 1106 1122 1152 1156 1188 1224 1232 1264 1309 1343 1344 1386 1408 1422 1428 1496 1512 1584 1632 1659 1683 1728 1734 1738 1836 1848 1896 1904 2016 2023 2079 2112 2133 2142 2176 2212 2244 2312 2376 2448 2464 2528 2601 2607 2618 2686 2688 2772 2844 2856 2992 3024 3168 3179 3213 3264 3318 3366 3456 3468 3476 3672 3696 3792 3808 3927 4029 4032 4046 4158 4224 4266 4284 4424 4488 4624 4752 4896 4913 4928 4977 5049 5056 5202 5214 5236 5372 5544 5688 5712 5984 6048 6069 6083 6241 6336 6358 6426 6528 6636 6732 6936 6952 7344 7392 7584 7616 7803 7821 7854 8058 8064 8092 8316 8532 8568 8848 8976 9248 9401 9504 9537 9792 9826 9856 9954 10098 10112 10404 10428 10472 10744 11088 11376 11424 11781 11968 12087 12096 12138 12166 12482 12672 12716 12852 13272 13464 13872 13904 14688 14739 14773 14784 14931 15168 15232 15606 15642 15708 16116 16184 16632 17064 17136 17696 17952 18207 18249 18496 18723 18802 19008 19074 19584 19652 19908 20196 20808 20856 20944 21488 22176 22253 22752 22831 22848 23463 23562 23936 24174 24192 24276 24332 24964 25432 25704 26544 26928 27744 27808 28203 28611 29376 29478 29546 29568 29862 30336 31212 31284 31416 32232 32368 33264 34128 34272 34391 35343 35392 35904 36261 36414 36498 36992 37446 37604 38016 38148 39304 39816 40392 41616 41712 41888 42976 43687 44217 44319 44352 44506 45504 45662 45696 46926 47124 48348 48552 48664 49928 50864 51408 53088 53856 54043 54621 54747 55488 55616 56169 56406 57222 58752 58956 59092 59724 62424 62568 62832 64464 64736 66528 66759 68256 68493 68544 68651 68782 70686 70784 71808 72522 72828 72996 74892 75208 76296 78608 79632 80784 83232 83424 83521 83776 84609 85833 85952 87374 88434 88638 88704 89012 91008 91324 93852 94248 96696 97104 97328 99856 101728 102816 103173 103411 106097 106176 107712 108086 109242 109494 110976 111232 112338 112812 114444 117912 118184 119448 124848 125136 125664 128928 129472 131061 132651 132957 133056 133518 136512 136986 137088 137302 137564 141372 145044 145656 145992 149784 150416 152592 157216 159264 159817 161568 162129 164241 166464 166848 167042 167552 168507 169218 171666 171904 174748 176868 177276 178024 182648 187704 188496 193392 194208 194656 199712 200277 203456 205479 205632 205953 206346 206822 212194 212352 215424 216172 218484 218988 224676 225624 228888 235824 236368 238896 249696 250272 250563 251141 251328 253827 257856 258944 262122 265302 265914 266112 267036 273024 273972 274604 275128 282744 290088 291312 291984 299568 300832 305184 309519 310233 314432 318291 318528 319634 323136 324258 328482 332928 333696 334084 337014 338436 343332 349496 353736 354552 356048 365296 375408 376992 378301 386784 388127 388416 389312 393183 398871 399424 400554 406912 410958 411264 411906 412692 413644 424388 432344 436968 437976 449352 451248 457776 471648 472736 477792 479451 480557 486387 499392 500544 501126 502282 502656 507654 515712 524244 530604 531828 534072 547944 549208 550256 565488 580176 582624 583968 584647 599136 600831 601664 610368 616437 617859 619038 620466 628864 636582 637056 639268 646272 648516 656964 668168 674028 676872 686664 698992 707472 709104 712096 730592 742679 750816 751689 753423 753984 756602 773568 776254 776832 778624 786366 797742 798848 801108 821916 823812 825384 827288 848776 864688 873936 875952 898704 902496 915552 918731 928557 930699 943296 945472 954873 955584 958902 961114 972774 998784 1001088 1002252 1004564 1015308 1048488 1061208 1063656 1068144 1095888 1098416 1100512 1130976 1134903 1160352 1164381 1165248 1167067 1167936 1169294 1179549 1198272 1201662 1203328 1220736 1232874 1235718 1238076 1240932 1273164 1278536 1297032 1313928 1336336 1348056 1353744 1373328 1397984 1414944 1418208 1424192 1438353 1441671 1459161 1461184 1485358 1501632 1503378 1506846 1507968 1513204 1547136 1552508 1572732 1595484 1602216 1643832 1647624 1650768 1654576 1697552 1729376 1747872 1751904 1753941 1757987 1797408 1803649 1804992 1831104 1837462 1853577 1857114 1861398 1886592 1890944 1909746 1911168 1917804 1922228 1945548 2004504 2009128 2030616 2096976 2122416 2127312 2136288 2191776 2196832 2201024 2228037 2255067 2260269 2261952 2269806 2320704 2328762 2330496 2334134 2335872 2338588 2359098 2396544 2403324 2465748 2471436 2476152 2481864 2546328 2557072 2594064 2627856 2672672 2696112 2707488 2716889 2746656 2756193 2792097 2795968 2829888 2836416 2848384 2864619 2876706 2883342 2918322 2922368 2970716 3003264 3006756 3013692 3026408 3105016 3145464 3190968 3204432 3287664 3295248 3301536 3309152 3395104 3404709 3458752 3493143 3495744 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1016116486 1038901824 1042509122 1043285376 1045692032 1058378112 1071367506 1075888044 1103833188 1108490712 1111047784 1161275984 1173696048 1176403536 1212052128 1229586336 1234774464 1247052051 1249928757 1266846528 1269768896 1283349312 1287805386 1306435482 1307408256 1341366912 1344461184 1349129452 1363558644 1389121272 1425202344 1428490008 1434517392 1471777584 1477987616 1518900768 1524174729 1558352736 1563763683 1564928064 1568538048 1587567168 1613832066 1616069504 1639448448 1655749782 1660804992 1662736068 1666571676 1717073848 1741913976 1764605304 1818078192 1844379504 1852161696 1900269792 1904653344 1912689856 1931708079 1959653223 1962370112 2016691776 2020540032 2023694178 2025201024 2032232972 2077803648 2085018244 2142735012 2151776088 2207666376 2216981424 2222095568 2322551968 2347392096 2352807072 2360976541 2424104256 2459172672 2469548928 2494104102 2499857514 2533693056 2539537792 2566698624 2575610772 2612870964 2698258904 2727117288 2778242544 2850404688 2856980016 2869034784 2943555168 2955975232 3035541267 3037801536 3048349458 3116705472 3127527366 3129856128 3137076096 3175134336 3227664132 3311499564 3325472136 3333143352 3434147696 3483827952 3529210608 3636156384 3648781927 3688759008 3704323392 3749786271 3800539584 3809306688 3825379712 3863416158 3919306446 3924740224 4033383552 4047388356 4064465944 4170036488 4285470024 4303552176 4415332752 4433962848 4444191136 4572524187 4645103936 4691291049 4694784192 4705614144 4721953082 4848208512 4918345344 4988208204 4999715028 5151221544 5225741928 5396517808 5454234576 5556485088 5700809376 5713960032 5733800171 5738069568 5795124237 5887110336 5911950464 6071082534 6075603072 6096698916 6233410944 6255054732 6455328264 6622999128 6650944272 6666286704 6868295392 6967655904 7058421216 7082929623 7272312768 7297563854 7377518016 7408646784 7499572542 7601079168 7618613376 7726832316 7838612892 8094776712 8128931888 8340072976 8570940048 8607104352 8830665504 8867925696 8888382272 9106623801 9145048374 9290207872 9382582098 9389568384 9411228288 9443906164 9976416408 9999430056 10302443088 10451483856 10793035616 10908469152 10946345781 11112970176 11401618752 11427920064 11467600342 11476139136 11590248474 11774220672 12142165068 12193397832 12510109464 12910656528 13245998256 13301888544 13332573408 13717572561 13736590784 13935311808 14073873147 14116842432 14165859246 14544625536 14595127708 14755036032 14999145084 15453664632 15677225784 16189553424 16257863776 16680145952 17141880096 17201400513 17214208704 17661331008 17735851392 17776764544 18213247602 18290096748 18765164196 18887812328 19952832816 19998860112 20604886176 20902967712 21248788869 21586071232 21816938304 21892691562 22225940352 22803237504 22855840128 22935200684 23180496948 24284330136 24386795664 25020218928 25821313056 26491996512 26603777088 26665146816 27435145122 27473181568 27870623616 28147746294 28233684864 28331718492 29190255416 29998290168 30907329264 31354451568 32379106848 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159622662528 159990880896 160546404788 169990310952 175141532496 183481605472 185443975584 194274641088 195094365312 197034224058 200161751424 206416806156 219481160976 225181970352 226653747936 233522043328 239986321344 240819607182 247258634112 250835612544 254985466428 262712298744 275222408208 291411961632 292641547968 300242627136 302204997248 309625209234 321092809576 339980621904 350283064992 361229410773 366963210944 370887951168 388549282176 394068448116 412833612312 438962321952 450363940704 453307495872 467044086656 479972642688 481639214364 509970932856 525424597488 550444816416 582823923264 585283095936 600485254272 619250418468 642185619152 679961243808 700566129984 722458821546 733926421888 741775902336 788136896232 825667224624 877924643904 900727881408 906614991744 963278428728 1019941865712 1050849194976 1083688232319 1100889632832 1165647846528 1238500836936 1284371238304 1359922487616 1401132259968 1444917643092 1576273792464 1651334449248 1755849287808 1801455762816 1926556857456 2039883731424 2101698389952 2167376464638 2201779265664 2477001673872 2568742476608 2719844975232 2889835286184 3152547584928 3302668898496 3853113714912 4079767462848 4203396779904 4334752929276 4954003347744 5137484953216 5779670572368 6305095169856 6605337796992 7706227429824 8159534925696 8669505858552 9908006695488 11559341144736 12610190339712 15412454859648 17339011717104 19816013390976 23118682289472 34678023434208 46237364578944 69356046868416 138712093736832
- Sum of all divisors σ(n): 549264478291200
- Sum of proper divisors (its aliquot sum) s(n): 410552384554368
- 138712093736832 is an abundant number, because the sum of its proper divisors (410552384554368) is greater than itself. Its abundance is 271840290817536
Bases of 138712093736832
- Binary: 111111000101000011011010001001010111111100000002
- Hexadecimal: 0x7E286D12BF80
- Base-36: 1D63GF65C0
Squares and roots of 138712093736832
- 138712093736832 squared (1387120937368322) is 19241044948855667361673396224
- 138712093736832 cubed (1387120937368323) is 2668965630540265206404723866085868718522368
-
The
square root of 138712093736832 is 11777609.8482175915 -
The
cube root of 138712093736832 is 51765.2253565867
Scales and comparisons
How big is 138712093736832?- 138,712,093,736,832 seconds is equal to 4,410,615 years, 26 weeks, 5 days, 21 hours, 7 minutes, 12 seconds.
-
To count from 1 to 138,712,093,736,832 would take you about eleven million, twenty-six thousand, five 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 138712093736832 cubic inches would be around 4313.8 feet tall.
Recreational maths with 138712093736832
- 138712093736832 backwards is 238637390217831
- 138712093736832 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138712093736832's digits is 63
- More coming soon!
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"Number 138712093736832 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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Numbermatics. (2024). Number 138712093736832 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/138712093736832/
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The information we have on file for 138712093736832 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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