137201002848

Names of 137201002848

• Cardinal: 137201002848 can be written as One hundred thirty-seven billion, two hundred one million, two thousand, eight hundred forty-eight.

Scientific notation

• Scientific notation: 1.37201002848 × 10¹¹

Factors of 137201002848

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 28693

Divisors of 137201002848

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 42 48 52 54 56 61 63 72 78 84 91 96 104 108 112 117 122 126 144 156 168 182 183 189 208 216 224 234 244 252 273 288 312 336 351 364 366 378 416 427 432 468 488 504 546 549 624 672 702 728 732 756 793 819 854 864 936 976 1008 1092 1098 1248 1281 1404 1456 1464 1512 1586 1638 1647 1708 1872 1952 2016 2184 2196 2379 2457 2562 2808 2912 2928 3024 3172 3276 3294 3416 3744 3843 4368 4392 4758 4914 5124 5551 5616 5856 6048 6344 6552 6588 6832 7137 7686 8736 8784 9516 9828 10248 11102 11232 11529 12688 13104 13176 13664 14274 15372 16653 17568 19032 19656 20496 21411 22204 23058 25376 26208 26352 28548 28607 30744 33306 38064 39312 40992 42822 44408 46116 49959 52704 57096 57214 61488 66612 76128 78624 85644 85821 88816 92232 99918 114192 114428 122976 133224 149877 171288 171642 177632 184464 199836 200249 228384 228856 257463 266448 299754 342576 343284 368928 371891 399672 400498 457712 514926 532896 599508 600747 685152 686568 743782 772389 799344 800996 915424 1029852 1115673 1199016 1201494 1373136 1487564 1544778 1598688 1601992 1745027 1802241 2059704 2231346 2398032 2402988 2603237 2746272 2975128 3089556 3203984 3347019 3490054 3604482 4119408 4462692 4796064 4805976 5206474 5235081 5406723 5950256 6179112 6407968 6694038 6980108 7208964 7809711 8238816 8925384 9611952 10041057 10412948 10470162 10813446 11900512 12215189 12358224 13388076 13960216 14417928 15619422 15705243 17850768 19223904 20082114 20825896 20940324 21626892 22685351 23429133 24430378 24716448 26776152 27920432 28835856 31238844 31410486 35701536 36645567 40164228 41651792 41880648 43253784 45370702 46858266 47115729 48860756 53552304 55840864 57671712 62477688 62820972 68056053 70287399 73291134 80328456 83303584 83761296 86507568 90741404 93716532 94231458 97721512 107104608 109936701 124955376 125641944 136112106 140574798 146582268 158797457 160656912 167522592 173015136 181482808 187433064 188462916 195443024 204168159 219873402 249910752 251283888 272224212 281149596 293164536 317594914 321313824 329810103 362965616 374866128 376925832 390886048 408336318 439746804 476392371 502567776 544448424 562299192 586329072 612504477 635189828 659620206 725931232 749732256 753851664 816672636 879493608 952784742 1088896848 1124598384 1172658144 1225008954 1270379656 1319240412 1429177113 1507703328 1633345272 1758987216 1905569484 2177793696 2249196768 2450017908 2540759312 2638480824 2858354226 3266690544 3517974432 3811138968 4287531339 4900035816 5081518624 5276961648 5716708452 6533381088 7622277936 8575062678 9800071632 10553923296 11433416904 15244555872 17150125356 19600143264 22866833808 34300250712 45733667616 68600501424 137201002848
• Sum of all divisors σ(n): 500607959040
• Sum of proper divisors (its aliquot sum) s(n): 363406956192
• 137201002848 is an abundant number, because the sum of its proper divisors (363406956192) is greater than itself. Its abundance is 226205953344

Bases of 137201002848

• Binary: 1111111110001110100010010100101100000₂
• Hexadecimal: 0x1FF1D12960
• Base-36: 1R11XNC0

Squares and roots of 137201002848

• 137201002848 squared (137201002848²) is 18824115182496904111104
• 137201002848 cubed (137201002848³) is 2582687480764837780698762812424192
• The square root of 137201002848 is 370406.5372641255
• The cube root of 137201002848 is 5157.6566644727

Scales and comparisons

• 137,201,002,848 seconds is equal to 4,362 years, 29 weeks, 3 days, 13 hours, 40 minutes, 48 seconds.
• To count from 1 to 137,201,002,848 would take you about eight thousand, seven hundred twenty-five 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 137201002848 cubic inches would be around 429.8 feet tall.

Recreational maths with 137201002848

• 137201002848 backwards is 848200102731
• 137201002848 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137201002848's digits is 36
• More coming soon!