137934647333824
137,934,647,333,824 is an even composite number composed of seven prime numbers multiplied together.
137934647333824 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 137934647333824:
26 × 11 × 31 × 61 × 71 × 521 × 2801
(2 × 2 × 2 × 2 × 2 × 2 × 11 × 31 × 61 × 71 × 521 × 2801)See below for interesting mathematical facts about the number 137934647333824 from the Numbermatics database.
Names of 137934647333824
- Cardinal: 137934647333824 can be written as One hundred thirty-seven trillion, nine hundred thirty-four billion, six hundred forty-seven million, three hundred thirty-three thousand, eight hundred twenty-four.
Scientific notation
- Scientific notation: 1.37934647333824 × 1014
Factors of 137934647333824
Divisors of 137934647333824
- Number of divisors d(n): 448
-
Complete list of divisors:
1 2 4 8 11 16 22 31 32 44 61 62 64 71 88 122 124 142 176 244 248 284 341 352 488 496 521 568 671 682 704 781 976 992 1042 1136 1342 1364 1562 1891 1952 1984 2084 2201 2272 2684 2728 2801 3124 3782 3904 4168 4331 4402 4544 5368 5456 5602 5731 6248 7564 8336 8662 8804 10736 10912 11204 11462 12496 15128 16151 16672 17324 17608 20801 21472 21824 22408 22924 24211 24992 30256 30811 31781 32302 33344 34648 35216 36991 41602 42944 44816 45848 47641 48422 49984 60512 61622 63562 64604 69296 70432 73982 83204 86831 89632 91696 95282 96844 121024 123244 127124 129208 134261 138592 140864 147964 166408 170861 173662 177661 179264 183392 190564 193688 198871 246488 254248 258416 268522 277184 295928 332816 341722 347324 349591 355322 366784 381128 387376 397742 406901 492976 508496 516832 537044 591856 665632 683444 694648 699182 710644 762256 774752 795484 813802 955141 985211 985952 1016992 1033664 1074088 1146721 1183712 1331264 1366888 1389296 1398364 1421288 1459321 1476871 1524512 1549504 1590968 1627604 1879471 1910282 1970422 1971904 2033984 2148176 2187581 2256451 2293442 2367424 2733776 2778592 2796728 2842576 2918642 2953742 3049024 3181936 3255208 3758942 3820564 3940844 4296352 4375162 4512902 4586884 5296691 5467552 5557184 5593456 5685152 5837284 5907484 6165001 6363872 6510416 7517884 7641128 7881688 8592704 8750324 9025804 9173768 10593382 10837321 10935104 11186912 11370304 11674568 11814968 12131131 12330002 12613931 12727744 13020832 15035768 15282256 15763376 16052531 17500648 18051608 18347536 21186764 21674642 22373824 23349136 23629936 24262262 24660004 24820961 25227862 26041664 30071536 30564512 31526752 32105062 35001296 36103216 36695072 42373528 43349284 45238951 46698272 47259872 48524524 49320008 49641922 50455724 58263601 60143072 61129024 63053504 64210124 67815011 69949981 70002592 72206432 73390144 84747056 86698568 89018581 90477902 93396544 94519744 97049048 98640016 99283844 100911448 103611791 116527202 120286144 128420248 133442441 135630022 139899962 140005184 144412864 169494112 173397136 178037162 180955804 194098096 197280032 198567688 201822896 207223582 233054404 256840496 266884882 271260044 279799924 338988224 346794272 356074324 361911608 376065061 388196192 394560064 397135376 403645792 414447164 466108808 497628461 513680992 533769764 542520088 559599848 693588544 712148648 723823216 752130122 769449791 776392384 794270752 807291584 828894328 932217616 979204391 995256922 1027361984 1067539528 1085040176 1119199696 1139729701 1424297296 1447646432 1504260244 1538899582 1588541504 1657788656 1864435232 1958408782 1990513844 2135079056 2170080352 2238399392 2279459402 2759576011 2848594592 2895292864 3008520488 3077799164 3211965521 3315577312 3728870464 3916817564 3981027688 4136715671 4270158112 4340160704 4476798784 4558918804 5519152022 5697189184 6017040976 6155598328 6320319251 6423931042 6631154624 7833635128 7962055376 8273431342 8540316224 9117837608 11038304044 12034081952 12311196656 12640638502 12847862084 15667270256 15924110752 16546862684 18235675216 22076608088 24068163904 24622393312 25281277004 25695724168 30355336121 31334540512 31848221504 33093725368 35331620731 36471350432 44153216176 49244786624 50562554008 51391448336 60710672242 62669081024 66187450736 69523511761 70663241462 72942700864 88306432352 101125108016 102782896672 121421344484 132374901472 139047023522 141326482924 176612864704 195929896781 202250216032 205565793344 242842688968 264749802944 278094047044 282652965848 391859793562 404500432064 485685377936 556188094088 565305931696 783719587124 971370755872 1112376188176 1130611863392 1567439174248 1942741511744 2155228864591 2224752376352 2261223726784 3134878348496 4310457729182 4449504752704 6269756696992 8620915458364 12539513393984 17241830916728 34483661833456 68967323666912 137934647333824
- Sum of all divisors σ(n): 318418113650688
- Sum of proper divisors (its aliquot sum) s(n): 180483466316864
- 137934647333824 is an abundant number, because the sum of its proper divisors (180483466316864) is greater than itself. Its abundance is 42548818983040
Bases of 137934647333824
- Binary: 111110101110011011010011010100000010011110000002
- Hexadecimal: 0x7D7369A813C0
- Base-36: 1CW6AVNLJ4
Squares and roots of 137934647333824
- 137934647333824 squared (1379346473338242) is 19025966935106400311694462976
- 137934647333824 cubed (1379346473338243) is 2624340039378897620579224700100221880500224
-
The
square root of 137934647333824 is 11744558.2008785669 -
The
cube root of 137934647333824 is 51668.3337559589
Scales and comparisons
How big is 137934647333824?- 137,934,647,333,824 seconds is equal to 4,385,895 years, 6 weeks, 3 days, 14 hours, 57 minutes, 4 seconds.
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To count from 1 to 137,934,647,333,824 would take you about ten million, nine hundred sixty-four thousand, seven hundred thirty-seven 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 137934647333824 cubic inches would be around 4305.7 feet tall.
Recreational maths with 137934647333824
- 137934647333824 backwards is 428333746439731
- The number of decimal digits it has is: 15
- The sum of 137934647333824's digits is 67
- More coming soon!
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