137957283648
137,957,283,648 is an even composite number composed of six prime numbers multiplied together.
What does the number 137957283648 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 448 divisors.
137957283648 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 137957283648:
26 × 33 × 29 × 53 × 127 × 409
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 29 × 53 × 127 × 409)See below for interesting mathematical facts about the number 137957283648 from the Numbermatics database.
Names of 137957283648
- Cardinal: 137957283648 can be written as One hundred thirty-seven billion, nine hundred fifty-seven million, two hundred eighty-three thousand, six hundred forty-eight.
Scientific notation
- Scientific notation: 1.37957283648 × 1011
Factors of 137957283648
Divisors of 137957283648
- Number of divisors d(n): 448
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 53 54 58 64 72 87 96 106 108 116 127 144 159 174 192 212 216 232 254 261 288 318 348 381 409 424 432 464 477 508 522 576 636 696 762 783 818 848 864 928 954 1016 1044 1143 1227 1272 1392 1431 1524 1537 1566 1636 1696 1728 1856 1908 2032 2088 2286 2454 2544 2784 2862 3048 3074 3132 3272 3392 3429 3681 3683 3816 4064 4176 4572 4611 4908 5088 5568 5724 6096 6148 6264 6544 6731 6858 7362 7366 7632 8128 8352 9144 9222 9816 10176 11043 11049 11448 11861 12192 12296 12528 13088 13462 13716 13833 14724 14732 15264 16704 18288 18444 19632 20193 21677 22086 22098 22896 23722 24384 24592 25056 26176 26924 27432 27666 29448 29464 30528 33147 35583 36576 36888 39264 40386 41499 43354 44172 44196 45792 47444 49184 50112 51943 53848 54864 55332 58896 58928 60579 65031 66294 71166 73152 73776 78528 80772 82998 86708 88344 88392 91584 94888 98368 99441 103886 106749 107696 109728 110664 117792 117856 121158 130062 132588 142332 147552 155829 161544 165996 173416 176688 176784 181737 189776 195093 195199 198882 207772 213498 215392 219456 221328 235584 235712 242316 260124 265176 284664 295104 311658 320247 323088 331992 346832 353376 353568 363474 379552 390186 390398 397764 415544 426996 430784 442656 467487 484632 520248 530352 569328 585279 585597 623316 628633 640494 646176 663984 693664 706752 707136 726948 759104 780372 780796 795528 831088 853992 885312 934974 969264 1040496 1060704 1138656 1170558 1171194 1246632 1257266 1280988 1292352 1327968 1387328 1402461 1453896 1506347 1560744 1561592 1591056 1662176 1707984 1756791 1869948 1885899 1938528 2080992 2121408 2277312 2341116 2342388 2493264 2514532 2561976 2655936 2752979 2804922 2907792 3012694 3121488 3123184 3182112 3324352 3415968 3513582 3739896 3771798 3877056 4161984 4519041 4682232 4684776 4986528 5029064 5123952 5270373 5505958 5609844 5657697 5815584 6025388 6242976 6246368 6364224 6831936 7027164 7479792 7543596 8258937 9038082 9364464 9369552 9973056 10058128 10247904 10540746 11011916 11219688 11315394 11631168 12050776 12485952 12492736 13557123 14054328 14959584 15087192 16517874 16973091 18076164 18728928 18739104 20116256 20495808 21081492 22023832 22439376 22630788 24101552 24776811 27114246 28108656 29919168 30174384 33035748 33946182 36152328 37457856 37478208 40232512 40671369 42162984 44047664 44878752 45261576 48203104 49553622 54228492 56217312 60348768 66071496 67892364 72304656 74330433 79836391 81342738 84325968 88095328 89757504 90523152 96406208 99107244 108456984 112434624 120697536 132142992 135784728 144609312 148660866 159672782 162685476 168651936 176190656 181046304 198214488 216913968 239509173 264285984 271569456 289218624 297321732 319345564 325370952 337303872 362092608 396428976 433827936 479018346 528571968 543138912 594643464 638691128 650741904 718527519 792857952 867655872 958036692 1086277824 1189286928 1277382256 1301483808 1437055038 1585715904 1916073384 2155582557 2378573856 2554764512 2602967616 2874110076 3832146768 4311165114 4757147712 5109529024 5748220152 7664293536 8622330228 11496440304 15328587072 17244660456 22992880608 34489320912 45985761216 68978641824 137957283648
- Sum of all divisors σ(n): 431889408000
- Sum of proper divisors (its aliquot sum) s(n): 293932124352
- 137957283648 is an abundant number, because the sum of its proper divisors (293932124352) is greater than itself. Its abundance is 155974840704
Bases of 137957283648
- Binary: 100000000111101110010100010111010000002
- Hexadecimal: 0x201EE51740
- Base-36: 1RDK7DC0
Squares and roots of 137957283648
- 137957283648 squared (1379572836482) is 19032212111534728187904
- 137957283648 cubed (1379572836483) is 2625632284719897509221253170593792
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The
square root of 137957283648 is 371426.0136931715 -
The
cube root of 137957283648 is 5167.1160013863
Scales and comparisons
How big is 137957283648?- 137,957,283,648 seconds is equal to 4,386 years, 31 weeks, 6 days, 19 hours, 40 minutes, 48 seconds.
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To count from 1 to 137,957,283,648 would take you about eight thousand, seven hundred seventy-three 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 137957283648 cubic inches would be around 430.6 feet tall.
Recreational maths with 137957283648
- 137957283648 backwards is 846382759731
- The number of decimal digits it has is: 12
- The sum of 137957283648's digits is 63
- More coming soon!
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