137713697931264
137,713,697,931,264 is an even composite number composed of six prime numbers multiplied together.
What does the number 137713697931264 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1440 divisors.
137713697931264 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 137713697931264:
214 × 3 × 7 × 133 × 23 × 892
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 13 × 13 × 13 × 23 × 89 × 89)See below for interesting mathematical facts about the number 137713697931264 from the Numbermatics database.
Names of 137713697931264
- Cardinal: 137713697931264 can be written as One hundred thirty-seven trillion, seven hundred thirteen billion, six hundred ninety-seven million, nine hundred thirty-one thousand, two hundred sixty-four.
Scientific notation
- Scientific notation: 1.37713697931264 × 1014
Factors of 137713697931264
Divisors of 137713697931264
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 21 23 24 26 28 32 39 42 46 48 52 56 64 69 78 84 89 91 92 96 104 112 128 138 156 161 168 169 178 182 184 192 208 224 256 267 273 276 299 312 322 336 338 356 364 368 384 416 448 483 507 512 534 546 552 598 623 624 644 672 676 712 728 736 768 832 896 897 966 1014 1024 1068 1092 1104 1157 1183 1196 1246 1248 1288 1344 1352 1424 1456 1472 1536 1664 1792 1794 1869 1932 2028 2047 2048 2093 2136 2184 2197 2208 2314 2366 2392 2492 2496 2576 2688 2704 2848 2912 2944 3072 3328 3471 3549 3584 3588 3738 3864 3887 4056 4094 4096 4186 4272 4368 4394 4416 4628 4732 4784 4984 4992 5152 5376 5408 5696 5824 5888 6141 6144 6279 6591 6656 6942 7098 7168 7176 7476 7728 7774 7921 8099 8112 8188 8192 8372 8544 8736 8788 8832 9256 9464 9568 9968 9984 10304 10752 10816 11392 11648 11661 11776 12282 12288 12558 13182 13312 13884 14196 14329 14336 14352 14952 15041 15379 15456 15548 15842 16198 16224 16376 16384 16744 17088 17472 17576 17664 18512 18928 19136 19936 19968 20608 21504 21632 22784 23296 23322 23552 23763 24297 24564 24576 25116 26364 26611 26624 27209 27768 28392 28658 28672 28704 29904 30082 30758 30912 31096 31684 32396 32448 32752 33488 34176 34944 35152 35328 37024 37856 38272 39872 39936 41216 42987 43008 43264 45123 45568 46137 46592 46644 47104 47526 48594 49128 49152 50232 50531 52728 53222 53248 54418 55447 55536 56784 57316 57344 57408 59808 60164 61516 61824 62192 63368 64792 64896 65504 66976 68352 69888 70304 70656 74048 75712 76544 79744 79833 79872 81627 82432 85974 86016 86528 90246 91136 92274 93184 93288 94208 95052 97188 98256 100464 101062 102973 105287 105456 106444 106496 108836 110894 111072 113568 114632 114688 114816 119616 120328 123032 123648 124384 126736 129584 129792 131008 133952 136704 139776 140608 141312 148096 151424 151593 153088 159488 159666 159744 163254 164864 166341 171948 172032 173056 180492 182183 182272 184548 186277 186368 186576 188416 190104 194376 195533 196512 200928 202124 205946 210574 210912 212888 212992 217672 221788 222144 227136 229264 229632 239232 240656 246064 247296 248768 253472 259168 259584 262016 267904 273408 279552 281216 282624 296192 302848 303186 306176 308919 315861 318976 319332 319488 326508 329728 332682 343896 344064 345943 346112 353717 360984 364366 364544 369096 372554 372736 373152 376832 380208 388752 391066 393024 401856 404248 411892 421148 421824 425776 435344 443576 444288 454272 458528 459264 478464 481312 492128 494592 497536 506944 518336 519168 524032 535808 546549 546816 558831 559104 562432 565248 586599 592384 605696 606372 612352 617838 631722 637952 638664 638976 653016 659456 665364 687792 691886 692224 707434 720811 721968 728732 729088 738192 745108 745472 746304 760416 777504 782132 786048 803712 808496 823784 842296 843648 851552 870688 887152 888576 908544 917056 918528 956928 962624 984256 989184 995072 1013888 1036672 1037829 1038336 1048064 1061151 1071616 1093098 1093632 1117662 1118208 1124864 1130496 1173198 1184768 1211392 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67906162688 71280381952 73683091456 76763488256 76849161792 82760635776 89657355424 93555501312 94583583744 96709057536 101859244032 102465549056 106920572928 110347514368 110524637184 115145232384 116410564608 119026532352 124740668416 126111444992 128945410048 134486033136 135812325376 142560763904 153526976512 153698323584 165521271552 179314710848 187111002624 189167167488 193418115072 203718488064 204931098112 213841145856 220695028736 221049274368 230290464768 249481336832 252222889984 257890820096 268972066272 271624650752 285121527808 307396647168 331042543104 358629421696 374222005248 378334334976 386836230144 407436976128 409862196224 427682291712 441390057472 460580929536 498962673664 504445779968 515781640192 537944132544 614793294336 662085086208 717258843392 748444010496 756668669952 773672460288 814873952256 819724392448 855364583424 882780114944 997925347328 1075888265088 1229586588672 1324170172416 1434517686784 1496888020992 1513337339904 1547344920576 1639448784896 1765560229888 1995850694656 2151776530176 2459173177344 2648340344832 2869035373568 2993776041984 3278897569792 3531120459776 4303553060352 4918346354688 5296680689664 5738070747136 5987552083968 6557795139584 8607106120704 9836692709376 10593361379328 11476141494272 17214212241408 19673385418752 22952282988544 34428424482816 45904565977088 68856848965632 137713697931264
- Sum of all divisors σ(n): 479801487406080
- Sum of proper divisors (its aliquot sum) s(n): 342087789474816
- 137713697931264 is an abundant number, because the sum of its proper divisors (342087789474816) is greater than itself. Its abundance is 204374091543552
Bases of 137713697931264
- Binary: 111110100111111111110000000101111000000000000002
- Hexadecimal: 0x7D3FF80BC000
- Base-36: 1CTCSS33EO
Squares and roots of 137713697931264
- 137713697931264 squared (1377136979312642) is 18965062597903426513268637696
- 137713697931264 cubed (1377136979312643) is 2611748901855185369283980239722326727327744
-
The
square root of 137713697931264 is 11735147.9722781511 -
The
cube root of 137713697931264 is 51640.7308567787
Scales and comparisons
How big is 137713697931264?- 137,713,697,931,264 seconds is equal to 4,378,869 years, 32 weeks, 20 hours, 54 minutes, 24 seconds.
-
To count from 1 to 137,713,697,931,264 would take you about ten million, nine hundred forty-seven thousand, one hundred seventy-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 137713697931264 cubic inches would be around 4303.4 feet tall.
Recreational maths with 137713697931264
- 137713697931264 backwards is 462139796317731
- 137713697931264 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137713697931264's digits is 69
- More coming soon!
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The information we have on file for 137713697931264 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 137713697931264, math, Factors of 137713697931264, curriculum, school, college, exams, university, Prime factorization of 137713697931264, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven trillion, seven hundred thirteen billion, six hundred ninety-seven million, nine hundred thirty-one thousand, two hundred sixty-four.