137038911984
137,038,911,984 is an even composite number composed of six prime numbers multiplied together.
What does the number 137038911984 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 480 divisors.
137038911984 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 137038911984:
24 × 32 × 133 × 31 × 89 × 157
(2 × 2 × 2 × 2 × 3 × 3 × 13 × 13 × 13 × 31 × 89 × 157)See below for interesting mathematical facts about the number 137038911984 from the Numbermatics database.
Names of 137038911984
- Cardinal: 137038911984 can be written as One hundred thirty-seven billion, thirty-eight million, nine hundred eleven thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 1.37038911984 × 1011
Factors of 137038911984
Divisors of 137038911984
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 31 36 39 48 52 62 72 78 89 93 104 117 124 144 156 157 169 178 186 208 234 248 267 279 312 314 338 356 372 403 468 471 496 507 534 558 624 628 676 712 744 801 806 936 942 1014 1068 1116 1157 1209 1256 1352 1413 1424 1488 1521 1602 1612 1872 1884 2028 2041 2136 2197 2232 2314 2418 2512 2704 2759 2826 3042 3204 3224 3471 3627 3768 4056 4082 4272 4394 4464 4628 4836 4867 5239 5518 5652 6084 6123 6408 6448 6591 6942 7254 7536 8112 8164 8277 8788 9256 9672 9734 10413 10478 11036 11304 12168 12246 12816 13182 13884 13973 14508 14601 15041 15717 16328 16554 17576 18369 18512 19344 19468 19773 20826 20956 22072 22608 24336 24492 24831 26364 26533 27768 27946 29016 29202 30082 31434 32656 33108 35152 35867 36738 38936 39546 41652 41912 41919 43803 44144 45123 47151 48984 49662 52728 53066 55536 55892 58032 58404 60164 62868 63271 66216 68107 71734 73476 77872 79092 79599 83304 83824 83838 87606 90246 94302 97968 99324 105456 106132 107601 111784 116808 120328 125736 125757 126542 132432 135369 136214 143468 146952 158184 159198 166608 167676 175212 180492 181649 188604 189813 195533 198648 204321 212264 215202 223568 233616 238797 240656 251472 251514 253084 270738 272428 286936 293904 316368 318396 322803 335352 344929 350424 360984 363298 377208 379626 391066 397296 408642 424528 430404 433163 466271 477594 503028 506168 541476 544856 544947 569439 573872 586599 612963 636792 645606 670704 689858 700848 721968 726596 754416 759252 782132 817284 822523 860808 866326 932542 955188 1006056 1012336 1034787 1082952 1089712 1089894 1138878 1173198 1225926 1273584 1291212 1299489 1379716 1398813 1453192 1518504 1564264 1634568 1634841 1645046 1721616 1732652 1759797 1865084 1910376 2012112 2069574 2165904 2179788 2277756 2346396 2361437 2451852 2467569 2582424 2598978 2759432 2797626 2906384 3037008 3104361 3128528 3269136 3269682 3290092 3465304 3519594 3730168 3820752 3898467 4139148 4196439 4359576 4555512 4692792 4722874 4903704 4935138 5164848 5197956 5518864 5595252 5631119 6061523 6208722 6539364 6580184 6930608 7039188 7084311 7402707 7460336 7796934 8278296 8392878 8719152 9111024 9385584 9445748 9807408 9870276 10395912 10692799 11190504 11262238 12123046 12417444 13078728 13160368 14078376 14168622 14805414 15593868 16556592 16785756 16893357 18184569 18891496 19740552 20791824 21252933 21385598 22381008 22524476 24246092 24834888 26157456 28156752 28337244 29610828 30698681 31187736 32078397 33571512 33786714 36369138 37782992 39481104 42505866 42771196 45048952 48492184 49669776 50680071 54553707 56674488 59221656 61397362 62375472 64156794 67143024 67573428 72738276 73204547 85011732 85542392 90097904 92096043 96235191 96984368 101360142 109107414 113348976 118443312 122794724 128313588 135146856 145476552 146409094 170023464 171084784 184192086 192470382 202720284 218214828 219613641 245589448 256627176 270293712 276288129 290953104 292818188 340046928 368384172 384940764 405440568 436429656 439227282 491178896 513254352 552576258 585636376 658840923 736768344 769881528 810881136 872859312 878454564 951659111 1105152516 1171272752 1317681846 1473536688 1539763056 1756909128 1903318222 2210305032 2635363692 2854977333 3513818256 3806636444 4420610064 5270727384 5709954666 7613272888 8564931999 10541454768 11419909332 15226545776 17129863998 22839818664 34259727996 45679637328 68519455992 137038911984
- Sum of all divisors σ(n): 436447065600
- Sum of proper divisors (its aliquot sum) s(n): 299408153616
- 137038911984 is an abundant number, because the sum of its proper divisors (299408153616) is greater than itself. Its abundance is 162369241632
Bases of 137038911984
- Binary: 11111111010000010011111011001111100002
- Hexadecimal: 0x1FE827D9F0
- Base-36: 1QYDFH80
Squares and roots of 137038911984
- 137038911984 squared (1370389119842) is 18779663397758498816256
- 137038911984 cubed (1370389119843) is 2573544639454573302168874172411904
-
The
square root of 137038911984 is 370187.6713020033 -
The
cube root of 137038911984 is 5155.6247588563
Scales and comparisons
How big is 137038911984?- 137,038,911,984 seconds is equal to 4,357 years, 21 weeks, 3 days, 12 hours, 26 minutes, 24 seconds.
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To count from 1 to 137,038,911,984 would take you about eight thousand, seven hundred fourteen 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 137038911984 cubic inches would be around 429.6 feet tall.
Recreational maths with 137038911984
- 137038911984 backwards is 489119830731
- The number of decimal digits it has is: 12
- The sum of 137038911984's digits is 54
- More coming soon!
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