137983206400
137,983,206,400 is an even composite number composed of five prime numbers multiplied together.
137983206400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five hundred twenty-eight divisors.
Prime factorization of 137983206400:
210 × 52 × 13 × 17 × 293
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 17 × 29 × 29 × 29)See below for interesting mathematical facts about the number 137983206400 from the Numbermatics database.
Names of 137983206400
- Cardinal: 137983206400 can be written as One hundred thirty-seven billion, nine hundred eighty-three million, two hundred six thousand, four hundred.
Scientific notation
- Scientific notation: 1.379832064 × 1011
Factors of 137983206400
Divisors of 137983206400
- Number of divisors d(n): 528
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Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 25 26 29 32 34 40 50 52 58 64 65 68 80 85 100 104 116 128 130 136 145 160 170 200 208 221 232 256 260 272 290 320 325 340 377 400 416 425 442 464 493 512 520 544 580 640 650 680 725 754 800 832 841 850 884 928 986 1024 1040 1088 1105 1160 1280 1300 1360 1450 1508 1600 1664 1682 1700 1768 1856 1885 1972 2080 2176 2210 2320 2465 2560 2600 2720 2900 3016 3200 3328 3364 3400 3536 3712 3770 3944 4160 4205 4352 4420 4640 4930 5120 5200 5440 5525 5800 6032 6400 6409 6656 6728 6800 7072 7424 7540 7888 8320 8410 8704 8840 9280 9425 9860 10400 10880 10933 11050 11600 12064 12325 12800 12818 13312 13456 13600 14144 14297 14848 15080 15776 16640 16820 17408 17680 18560 18850 19720 20800 21025 21760 21866 22100 23200 24128 24389 24650 25600 25636 26912 27200 28288 28594 29696 30160 31552 32045 33280 33640 35360 37120 37700 39440 41600 42050 43520 43732 44200 46400 48256 48778 49300 51272 53824 54400 54665 56576 57188 60320 63104 64090 66560 67280 70720 71485 74240 75400 78880 83200 84100 87040 87464 88400 92800 96512 97556 98600 102544 107648 108800 109330 113152 114376 120640 121945 126208 128180 134560 141440 142970 148480 150800 157760 160225 166400 168200 174928 176800 185600 185861 193024 195112 197200 205088 215296 217600 218660 226304 228752 241280 243890 252416 256360 269120 273325 282880 285940 301600 315520 317057 320450 332800 336400 349856 353600 357425 371200 371722 386048 390224 394400 410176 414613 430592 435200 437320 457504 482560 487780 504832 512720 538240 546650 565760 571880 603200 609725 631040 634114 640900 672800 699712 707200 714850 742400 743444 780448 788800 820352 829226 861184 874640 915008 929305 965120 975560 1025440 1076480 1093300 1131520 1143760 1206400 1219450 1262080 1268228 1281800 1345600 1399424 1414400 1429700 1486888 1560896 1577600 1585285 1640704 1658452 1749280 1830016 1858610 1930240 1951120 2050880 2073065 2152960 2186600 2287520 2412800 2438900 2524160 2536456 2563600 2691200 2798848 2828800 2859400 2973776 3121792 3155200 3170570 3281408 3316904 3498560 3660032 3717220 3902240 4101760 4146130 4305920 4373200 4575040 4646525 4825600 4877800 5072912 5127200 5382400 5389969 5597696 5657600 5718800 5947552 6243584 6310400 6341140 6562816 6633808 6997120 7320064 7434440 7804480 7926425 8203520 8292260 8746400 9150080 9293050 9651200 9755600 10145824 10254400 10365325 10764800 10779938 11195392 11437600 11895104 12487168 12620800 12682280 13267616 13994240 14640128 14868880 15608960 15852850 16407040 16584520 17492800 18300160 18586100 19511200 20291648 20508800 20730650 21529600 21559876 22875200 23790208 24974336 25364560 26535232 26949845 27988480 29737760 31217920 31705700 32814080 33169040 34985600 36600320 37172200 39022400 40583296 41017600 41461300 43119752 45750400 47580416 50729120 53070464 53899690 55976960 59475520 62435840 63411400 66338080 69971200 73200640 74344400 78044800 81166592 82035200 82922600 86239504 91500800 95160832 101458240 106140928 107799380 118951040 124871680 126822800 132676160 134749225 139942400 148688800 156089600 162333184 164070400 165845200 172479008 183001600 190321664 202916480 212281856 215598760 237902080 253645600 265352320 269498450 279884800 297377600 312179200 324666368 331690400 344958016 366003200 405832960 424563712 431197520 475804160 507291200 530704640 538996900 594755200 624358400 663380800 689916032 811665920 862395040 951608320 1014582400 1061409280 1077993800 1189510400 1326761600 1379832064 1623331840 1724790080 2029164800 2122818560 2155987600 2379020800 2653523200 2759664128 3449580160 4058329600 4311975200 4758041600 5307046400 5519328256 6899160320 8116659200 8623950400 10614092800 13798320640 17247900800 27596641280 34495801600 68991603200 137983206400
- Sum of all divisors σ(n): 403936802640
- Sum of proper divisors (its aliquot sum) s(n): 265953596240
- 137983206400 is an abundant number, because the sum of its proper divisors (265953596240) is greater than itself. Its abundance is 127970389840
Bases of 137983206400
- Binary: 100000001000000111000010100100000000002
- Hexadecimal: 0x202070A400
- Base-36: 1RDZMZGG
Squares and roots of 137983206400
- 137983206400 squared (1379832064002) is 19039365248425000960000
- 137983206400 cubed (1379832064003) is 2627112664798414182383878144000000
-
The
square root of 137983206400 is 371460.9083066481 -
The
cube root of 137983206400 is 5167.4396220375
Scales and comparisons
How big is 137983206400?- 137,983,206,400 seconds is equal to 4,387 years, 22 weeks, 5 days, 20 hours, 26 minutes, 40 seconds.
-
To count from 1 to 137,983,206,400 would take you about eight thousand, seven 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 137983206400 cubic inches would be around 430.6 feet tall.
Recreational maths with 137983206400
- 137983206400 backwards is 004602389731
- The number of decimal digits it has is: 12
- The sum of 137983206400's digits is 43
- More coming soon!
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