137528977824

Names of 137528977824

• Cardinal: 137528977824 can be written as One hundred thirty-seven billion, five hundred twenty-eight million, nine hundred seventy-seven thousand, eight hundred twenty-four.

Scientific notation

• Scientific notation: 1.37528977824 × 10¹¹

Factors of 137528977824

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 1889

Divisors of 137528977824

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 32 34 36 42 48 51 56 63 68 72 84 96 102 112 119 126 136 137 144 153 168 204 224 238 252 272 274 288 289 306 336 357 408 411 476 504 544 548 578 612 672 714 816 822 867 952 959 1008 1071 1096 1156 1224 1233 1428 1632 1644 1723 1734 1904 1918 2016 2023 2142 2192 2312 2329 2448 2466 2601 2856 2877 3288 3446 3468 3808 3836 4046 4284 4384 4624 4658 4896 4932 5169 5202 5712 5754 6069 6576 6892 6936 6987 7672 8092 8568 8631 9248 9316 9864 10338 10404 11424 11508 12061 12138 13152 13784 13872 13974 15344 15507 16184 16303 17136 17262 18207 18632 19728 20676 20808 20961 23016 24122 24276 27568 27744 27948 29291 30688 31014 32368 32606 34272 34524 36183 36414 37264 39456 39593 41352 41616 41922 46032 48244 48552 48909 55136 55896 58582 62028 64736 65212 69048 72366 72828 74528 79186 82704 83232 83844 87873 92064 96488 97104 97818 108549 111792 117164 118779 124056 130424 138096 144732 145656 146727 158372 165408 167688 175746 192976 194208 195636 205037 217098 223584 234328 236051 237558 248112 260848 263619 276192 277151 289464 291312 293454 316744 335376 351492 356337 385952 391272 410074 434196 468656 472102 475116 496224 497947 521696 527238 554302 578928 582624 586908 615111 633488 670752 702984 708153 712674 782544 820148 831453 868392 937312 944204 950232 995894 1054476 1108604 1157856 1173816 1230222 1266976 1405968 1416306 1425348 1493841 1565088 1640296 1652357 1662906 1736784 1845333 1888408 1900464 1991788 2108952 2124459 2217208 2347632 2460444 2494359 2811936 2832612 2850696 2987682 3280592 3304714 3325812 3473568 3485629 3690666 3776816 3800928 3983576 4012867 4217904 4248918 4434416 4481523 4695264 4920888 4957071 4988718 5665224 5701392 5975364 6561184 6609428 6651624 6971258 7381332 7553632 7967152 8025734 8435808 8497836 8868832 8963046 9841776 9914142 9977436 10456887 11330448 11402784 11950728 12038601 13218856 13303248 13942516 14762664 14871213 15934304 16051468 16995672 17926092 19683552 19828284 19954872 20913774 22660896 23901456 24077202 26437712 26606496 27885032 28090069 29525328 29742426 31370661 32102936 33991344 35852184 36115803 39656568 39909744 41827548 47802912 48154404 52875424 55770064 56180138 59050656 59484852 62741322 64205872 67982688 68218739 71704368 72231606 79313136 79819488 83655096 84270207 96308808 111540128 112360276 118969704 125482644 128411744 136437478 143408736 144463212 158626272 167310192 168540414 192617616 204656217 224720552 237939408 250965288 252810621 272874956 288926424 334620384 337080828 385235232 409312434 449441104 475878816 477531173 501930576 505621242 545749912 577852848 613968651 674161656 818624868 898882208 955062346 1003861152 1011242484 1091499824 1155705696 1227937302 1348323312 1432593519 1637249736 1910124692 2022484968 2182999648 2455874604 2696646624 2865187038 3274499472 3820249384 4044969936 4297780557 4911749208 5730374076 6548998944 7640498768 8089939872 8595561114 9823498416 11460748152 15280997536 17191122228 19646996832 22921496304 34382244456 45842992608 68764488912 137528977824
• Sum of all divisors σ(n): 478551423168
• Sum of proper divisors (its aliquot sum) s(n): 341022445344
• 137528977824 is an abundant number, because the sum of its proper divisors (341022445344) is greater than itself. Its abundance is 203493467520

Bases of 137528977824

• Binary: 10000000000101010111011010100110100000₂
• Hexadecimal: 0x20055DA9A0
• Base-36: 1R6H7AG0

Squares and roots of 137528977824

• 137528977824 squared (137528977824²) is 18914219741314283774976
• 137528977824 cubed (137528977824³) is 2601253307361475149903117310132224
• The square root of 137528977824 is 370848.9959862369
• The cube root of 137528977824 is 5161.7631364379

Scales and comparisons

• 137,528,977,824 seconds is equal to 4,372 years, 51 weeks, 5 days, 13 hours, 50 minutes, 24 seconds.
• To count from 1 to 137,528,977,824 would take you about eight thousand, seven hundred forty-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 137528977824 cubic inches would be around 430.1 feet tall.

Recreational maths with 137528977824

• 137528977824 backwards is 428779825731
• 137528977824 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137528977824's digits is 63
• More coming soon!