137116671863808
137,116,671,863,808 is an even composite number composed of six prime numbers multiplied together.
137116671863808 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 137116671863808:
210 × 3 × 72 × 133 × 17 × 293
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 13 × 13 × 13 × 17 × 29 × 29 × 29)See below for interesting mathematical facts about the number 137116671863808 from the Numbermatics database.
Names of 137116671863808
- Cardinal: 137116671863808 can be written as One hundred thirty-seven trillion, one hundred sixteen billion, six hundred seventy-one million, eight hundred sixty-three thousand, eight hundred eight.
Scientific notation
- Scientific notation: 1.37116671863808 × 1014
Factors of 137116671863808
Divisors of 137116671863808
- Number of divisors d(n): 2112
-
Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 17 21 24 26 28 29 32 34 39 42 48 49 51 52 56 58 64 68 78 84 87 91 96 98 102 104 112 116 119 128 136 147 156 168 169 174 182 192 196 203 204 208 221 224 232 238 256 272 273 294 312 336 338 348 357 364 377 384 392 406 408 416 442 448 464 476 493 507 512 544 546 588 609 624 637 663 672 676 696 714 728 754 768 784 812 816 832 833 841 884 896 928 952 986 1014 1024 1088 1092 1131 1176 1183 1218 1248 1274 1326 1344 1352 1392 1421 1428 1456 1479 1508 1536 1547 1568 1624 1632 1664 1666 1682 1768 1792 1856 1904 1911 1972 2028 2176 2184 2197 2262 2352 2366 2436 2496 2499 2523 2548 2639 2652 2688 2704 2784 2842 2856 2873 2912 2958 3016 3072 3094 3136 3248 3264 3328 3332 3364 3451 3536 3549 3584 3712 3808 3822 3944 4056 4263 4352 4368 4394 4524 4641 4704 4732 4872 4901 4992 4998 5046 5096 5278 5304 5376 5408 5568 5684 5712 5746 5824 5887 5916 6032 6188 6272 6409 6496 6528 6591 6656 6664 6728 6902 7072 7098 7168 7424 7616 7644 7888 7917 8112 8281 8526 8619 8704 8736 8788 9048 9282 9408 9464 9744 9802 9984 9996 10092 10192 10353 10556 10608 10752 10816 10829 10933 11136 11368 11424 11492 11648 11774 11832 12064 12376 12544 12818 12992 13056 13182 13312 13328 13456 13804 14144 14196 14297 14703 14848 15232 15288 15379 15776 15834 16224 16562 17052 17238 17408 17472 17576 17661 18096 18473 18564 18816 18928 19227 19488 19604 19968 19992 20111 20184 20384 20706 21112 21216 21504 21632 21658 21866 22272 22736 22848 22984 23296 23548 23664 24128 24157 24389 24752 24843 25088 25636 25984 26112 26364 26656 26912 27608 28288 28392 28594 29406 29696 30464 30576 30758 31552 31668 32448 32487 32799 33124 34104 34307 34476 34944 35152 35322 36192 36946 37128 37349 37632 37856 38454 38976 39208 39936 39984 40222 40368 40768 41209 41412 42224 42432 42891 43264 43316 43732 44544 44863 45472 45696 45968 46137 46592 47096 47328 48256 48314 48778 49504 49686 50176 51272 51968 52224 52728 53312 53824 55216 55419 56576 56784 57188 58812 60333 60928 61152 61516 63104 63336 63713 64896 64974 65598 66248 68208 68614 68952 69888 70304 70644 72384 72471 73167 73892 74256 74698 75264 75712 76531 76908 77952 78416 79968 80444 80736 81536 82418 82824 83317 84448 84864 85782 86528 86632 87464 89088 89726 90944 91392 91936 92274 93184 94192 94656 96512 96628 97556 99008 99372 100079 102544 102921 103936 105456 106624 107648 107653 110432 110838 112047 113152 113568 114376 117624 120666 121856 122304 123032 123627 126208 126672 127426 129792 129948 131196 132496 134589 136416 137228 137904 139776 140608 140777 141288 142129 144768 144942 146334 147784 148512 149396 150528 151424 153062 153816 155904 156832 159936 160888 161472 163072 164836 165648 166634 168896 169728 170723 171564 173056 173264 174928 179452 181888 182784 183872 184548 185861 188384 189312 191139 193024 193256 195112 198016 198744 200158 205088 205842 207872 210912 213248 215296 215306 220864 221676 224094 226304 227136 228752 229593 235248 240149 241332 244608 246064 247254 249951 252416 253344 254852 259584 259896 261443 262392 264992 269178 272832 274456 275808 279552 281216 281554 282576 284258 289536 289884 292668 295568 297024 298792 300237 302848 306124 307632 311808 313664 314041 317057 319872 321776 322944 322959 326144 329672 331296 333268 337792 339456 341446 343128 346528 349856 358904 363776 365568 367744 369096 371722 376768 378624 382278 386048 386512 390224 396032 397488 400316 410176 411684 414613 421824 422331 426387 426496 430592 430612 441728 443352 445991 448188 454272 457504 459186 470496 480298 482664 489216 492128 494508 499902 504832 506688 509704 512169 519168 519792 522886 524784 529984 535717 538356 545664 548912 551616 557583 562432 563108 565152 568516 579072 579768 583219 585336 591136 594048 597584 600474 605696 612248 615264 623616 627328 628082 634114 639744 643552 645888 645918 652288 659344 662592 666536 675584 678912 682892 686256 693056 699712 700553 717808 720447 727552 735488 738192 743444 753536 757248 764556 773024 780448 784329 792064 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251129435648 252052705632 267805999734 270447084544 278127123456 288060235008 295510068672 306063999696 310218714624 329607384288 336070274176 337725792768 349787428224 357074666312 363704699904 376694153472 384080313344 394013424896 405670626816 408085332928 439476512384 466383237632 502258871296 504105411264 535611999468 576120470016 591020137344 612127999392 620437429248 659214768576 672140548352 675451585536 699574856448 714149332624 753388306944 788026849792 811341253632 816170665856 878953024768 932766475264 1008210822528 1071223998936 1152240940032 1182040274688 1224255998784 1318429537152 1344281096704 1399149712896 1428298665248 1506776613888 1576053699584 1632341331712 1757906049536 2016421645056 2142447997872 2364080549376 2448511997568 2636859074304 2688562193408 2798299425792 2856597330496 3264682663424 3515812099072 4032843290112 4284895995744 4728161098752 4897023995136 5273718148608 5713194660992 6529365326848 8065686580224 8569791991488 9794047990272 10547436297216 11426389321984 17139583982976 19588095980544 22852778643968 34279167965952 45705557287936 68558335931904 137116671863808
- Sum of all divisors σ(n): 505051305494400
- Sum of proper divisors (its aliquot sum) s(n): 367934633630592
- 137116671863808 is an abundant number, because the sum of its proper divisors (367934633630592) is greater than itself. Its abundance is 230817961766784
Bases of 137116671863808
- Binary: 111110010110100111101101000010011101100000000002
- Hexadecimal: 0x7CB4F684EC00
- Base-36: 1CLQJ26HHC
Squares and roots of 137116671863808
- 137116671863808 squared (1371166718638082) is 18800981703007196432500260864
- 137116671863808 cubed (1371166718638083) is 2577928038888695866778752312268449080410112
-
The
square root of 137116671863808 is 11709682.8250729319 -
The
cube root of 137116671863808 is 51565.9972514407
Scales and comparisons
How big is 137116671863808?- 137,116,671,863,808 seconds is equal to 4,359,886 years, 1 week, 5 days, 22 hours, 36 minutes, 48 seconds.
-
To count from 1 to 137,116,671,863,808 would take you about ten million, eight hundred ninety-nine thousand, seven hundred fifteen 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 137116671863808 cubic inches would be around 4297.2 feet tall.
Recreational maths with 137116671863808
- 137116671863808 backwards is 808368176611731
- The number of decimal digits it has is: 15
- The sum of 137116671863808's digits is 66
- More coming soon!
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MLA style:
"Number 137116671863808 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.
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Numbermatics. (2024). Number 137116671863808 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/137116671863808/
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Numbermatics. 2024. "Number 137116671863808 - Facts about the integer". https://numbermatics.com/n/137116671863808/
The information we have on file for 137116671863808 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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