137228477965920

Names of 137228477965920

• Cardinal: 137228477965920 can be written as One hundred thirty-seven trillion, two hundred twenty-eight billion, four hundred seventy-seven million, nine hundred sixty-five thousand, nine hundred twenty.

Scientific notation

• Scientific notation: 1.3722847796592 × 10¹⁴

Factors of 137228477965920

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 56623659

Divisors of 137228477965920

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 11 12 15 16 17 18 20 22 24 27 30 32 33 34 36 40 44 45 48 51 54 55 60 66 68 72 80 81 85 88 90 96 99 102 108 110 120 132 135 136 144 153 160 162 165 170 176 180 187 198 204 216 220 240 255 264 270 272 288 297 306 324 330 340 352 360 374 396 405 408 432 440 459 480 495 510 528 540 544 561 594 612 648 660 680 720 748 765 792 810 816 864 880 891 918 935 990 1020 1056 1080 1122 1188 1224 1296 1320 1360 1377 1440 1485 1496 1530 1584 1620 1632 1683 1760 1782 1836 1870 1980 2040 2160 2244 2295 2376 2448 2592 2640 2720 2754 2805 2970 2992 3060 3168 3240 3366 3564 3672 3740 3960 4080 4320 4455 4488 4590 4752 4896 5049 5280 5508 5610 5940 5984 6120 6480 6732 6885 7128 7344 7480 7920 8160 8415 8910 8976 9180 9504 10098 11016 11220 11880 12240 12960 13464 13770 14256 14688 14960 15147 15840 16830 17820 17952 18360 20196 22032 22440 23760 24480 25245 26928 27540 28512 29920 30294 33660 35640 36720 40392 44064 44880 47520 50490 53856 55080 60588 67320 71280 73440 75735 80784 89760 100980 110160 121176 134640 142560 151470 161568 201960 220320 242352 269280 302940 403920 484704 605880 807840 1211760 2423520 56623621 113247242 169870863 226494484 283118105 339741726 452988968 509612589 566236210 622859831 679483452 849354315 905977936 962601557 1019225178 1132472420 1245719662 1358966904 1528837767 1698708630 1811955872 1868579493 1925203114 2038450356 2264944840 2491439324 2548062945 2717933808 2887804671 3057675534 3114299155 3397417260 3737158986 3850406228 4076900712 4529889680 4586513301 4813007785 4982878648 5096125890 5435867616 5605738479 5775609342 6115351068 6228598310 6794834520 7474317972 7644188835 7700812456 8153801424 8663414013 9059779360 9173026602 9342897465 9626015570 9965757296 10192251780 10588617127 11211476958 11551218684 12230702136 12457196620 13589669040 14439023355 14948635944 15288377670 15401624912 16307602848 16817215437 17326828026 18346053204 18685794930 19252031140 19931514592 20384503560 21177234254 22422953916 22932566505 23102437368 24461404272 24914393240 25990242039 27179338080 28028692395 28878046710 29897271888 30576755340 30803249824 31765851381 33634430874 34653656052 36692106408 37371589860 38504062280 40769007120 42354468508 43317070065 44845907832 45865133010 46204874736 48922808544 49828786480 50451646311 51980484078 52943085635 56057384790 57756093420 59794543776 61153510680 63531702762 67268861748 69307312104 73384212816 74743179720 77008124560 77970726117 81538014240 84086077185 84708937016 86634140130 89691815664 91730266020 92409749472 95297554143 99657572960 100903292622 103960968156 105886171270 112114769580 115512186840 122307021360 127063405524 129951210195 134537723496 138614624208 146768425632 149486359440 154016249120 155941452234 158829256905 168172154370 169417874032 173268280260 179383631328 183460532040 190595108286 201806585244 207921936312 211772342540 224229539160 231024373680 244614042720 252258231555 254126811048 259902420390 269075446992 277229248416 285892662429 298972718880 311882904468 317658513810 336344308740 338835748064 346536560520 366921064080 381190216572 389853630585 403613170488 415843872624 423544685080 448459078320 462048747360 476487770715 504516463110 508253622096 519804840780 538150893984 571785324858 623765808936 635317027620 672688617480 693073121040 733842128160 762380433144 779707261170 807226340976 831687745248 847089370160 857677987287 896918156640 952975541430 1009032926220 1016507244192 1039609681560 1143570649716 1247531617872 1270634055240 1345377234960 1386146242080 1429463312145 1524760866288 1559414522340 1614452681952 1694178740320 1715355974574 1905951082860 2018065852440 2079219363120 2287141299432 2495063235744 2541268110480 2690754469920 2858926624290 3049521732576 3118829044680 3430711949148 3811902165720 4036131704880 4158438726240 4288389936435 4574282598864 5082536220960 5717853248580 6237658089360 6861423898296 7623804331440 8072263409760 8576779872870 9148565197728 11435706497160 12475316178720 13722847796592 15247608662880 17153559745740 22871412994320 27445695593184 34307119491480 45742825988640 68614238982960 137228477965920
• Sum of all divisors σ(n): 559407864175776
• Sum of proper divisors (its aliquot sum) s(n): 422179386209856
• 137228477965920 is an abundant number, because the sum of its proper divisors (422179386209856) is greater than itself. Its abundance is 284950908243936

Bases of 137228477965920

• Binary: 11111001100111011111110101011101010011001100000₂
• Hexadecimal: 0x7CCEFEAEA660
• Base-36: 1CN5W4NA00

Squares and roots of 137228477965920

• 137228477965920 squared (137228477965920²) is 18831655164842990940681446400
• 137228477965920 cubed (137228477965920³) is 2584239375850459947739654041052155506688000
• The square root of 137228477965920 is 11714455.9398172649
• The cube root of 137228477965920 is 51580.0092280907

Scales and comparisons

• 137,228,477,965,920 seconds is equal to 4,363,441 years, 6 weeks, 3 days, 1 hour, 12 minutes.
• To count from 1 to 137,228,477,965,920 would take you about ten million, nine hundred eight thousand, six hundred two 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 137228477965920 cubic inches would be around 4298.3 feet tall.

Recreational maths with 137228477965920

• 137228477965920 backwards is 029569774822731
• 137228477965920 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 137228477965920's digits is 72
• More coming soon!