137685772224

Names of 137685772224

• Cardinal: 137685772224 can be written as One hundred thirty-seven billion, six hundred eighty-five million, seven hundred seventy-two thousand, two hundred twenty-four.

Scientific notation

• Scientific notation: 1.37685772224 × 10¹¹

Factors of 137685772224

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 1330

Divisors of 137685772224

• Number of divisors d(n): 1008
• Complete list of divisors:
  1 2 3 4 6 7 8 9 11 12 13 14 16 17 18 21 22 24 26 28 32 33 34 36 39 42 44 48 51 52 56 63 64 66 68 72 77 78 84 88 91 96 99 102 104 112 117 119 121 126 132 136 143 144 153 154 156 168 176 182 187 192 198 204 208 221 224 231 234 238 242 252 264 272 273 286 288 306 308 312 336 352 357 363 364 374 396 408 416 429 442 448 462 468 476 484 504 528 544 546 561 572 576 612 616 624 663 672 693 704 714 726 728 748 792 816 819 832 847 858 884 924 936 952 968 1001 1008 1056 1071 1088 1089 1092 1122 1144 1224 1232 1248 1277 1287 1309 1326 1344 1386 1428 1452 1456 1496 1547 1573 1584 1632 1638 1683 1694 1716 1768 1848 1872 1904 1936 1989 2002 2016 2057 2112 2142 2178 2184 2244 2288 2431 2448 2464 2496 2541 2554 2574 2618 2652 2772 2856 2904 2912 2992 3003 3094 3146 3168 3264 3276 3366 3388 3432 3536 3696 3744 3808 3831 3872 3927 3978 4004 4032 4114 4284 4356 4368 4488 4576 4641 4719 4862 4896 4928 5082 5108 5148 5236 5304 5544 5712 5808 5824 5984 6006 6171 6188 6292 6336 6552 6732 6776 6864 7072 7293 7392 7488 7616 7623 7662 7744 7854 7956 8008 8228 8568 8712 8736 8939 8976 9009 9152 9282 9438 9724 9792 10164 10216 10296 10472 10608 11011 11088 11424 11493 11616 11781 11968 12012 12342 12376 12584 13104 13464 13552 13728 13923 14047 14144 14157 14399 14586 14784 15246 15324 15708 15912 16016 16456 16601 17017 17136 17424 17472 17878 17952 18018 18513 18564 18876 19448 20328 20432 20592 20944 21216 21709 21879 22022 22176 22848 22986 23232 23562 24024 24684 24752 25168 26208 26741 26817 26928 27104 27456 27846 28094 28314 28798 29172 30492 30648 31416 31824 32032 32912 33033 33202 34034 34272 34848 35756 35904 36036 37026 37128 37752 38896 40656 40864 41184 41888 42141 42432 43197 43418 43758 44044 44352 45972 47124 48048 49368 49504 49803 50336 51051 52416 53482 53634 53856 54208 55692 56188 56628 57596 58344 60984 61296 62832 63648 64064 65127 65824 66066 66404 68068 68544 69696 71512 72072 74052 74256 75504 77792 80223 80451 81312 81728 82368 83776 84282 86394 86836 87516 88088 91944 94248 96096 98329 98736 99008 99099 99606 100672 102102 106964 107268 107712 111384 112376 113256 115192 116207 116688 121968 122592 125664 126423 127296 129591 130254 131648 132132 132808 136136 143024 144144 148104 148512 149409 151008 151963 153153 154517 155584 160446 160902 162624 168564 172788 173672 175032 176176 182611 183888 187187 188496 192192 195381 196658 197472 198198 199212 204204 213928 214536 222768 224752 226512 230384 232414 233376 238799 240669 243936 245184 251328 252846 259182 260508 264264 265616 272272 282217 286048 288288 294987 296208 297024 298818 302016 303926 306306 309034 320892 321804 337128 345576 347344 348621 350064 352352 365222 367776 374374 376992 390762 393316 394944 396396 398424 408408 427856 429072 445536 449504 453024 455889 460768 463551 464828 466752 477598 481338 487872 505692 518364 521016 528528 531232 544544 547833 561561 564434 572096 576576 589974 592416 597636 607852 612612 618068 641784 643608 674256 691152 694688 697242 700128 704704 716397 730444 735552 748748 753984 781524 786632 792792 796848 816816 846651 855712 858144 884961 891072 899008 906048 911778 921536 927102 929656 955196 962676 1011384 1036728 1042032 1045863 1057056 1062464 1081619 1089088 1095666 1123122 1128868 1179948 1184832 1195272 1215704 1225224 1236136 1278277 1283568 1287216 1348512 1367667 1382304 1389376 1390653 1394484 1400256 1432794 1460888 1497496 1563048 1573264 1585584 1593696 1633632 1643499 1671593 1684683 1693302 1711424 1716288 1769922 1823556 1854204 1859312 1910392 1925352 1975519 2008721 2022768 2073456 2084064 2091726 2114112 2149191 2163238 2191332 2246244 2257736 2359896 2390544 2431408 2450448 2472272 2539953 2556554 2567136 2574432 2626789 2697024 2735334 2764608 2781306 2788968 2865588 2921776 2994992 3104387 3126096 3146528 3171168 3187392 3244857 3267264 3286998 3343186 3369366 3386604 3539844 3647112 3708408 3718624 3820784 3834831 3850704 3951038 4017442 4045536 4146912 4168128 4183452 4298382 4326476 4382664 4492488 4515472 4719792 4781088 4862816 4900896 4944544 5014779 5079906 5113108 5134272 5148864 5253578 5470668 5562612 5577936 5731176 5843552 5926557 5989984 6026163 6208774 6252192 6293056 6342336 6489714 6573996 6686372 6738732 6773208 7079688 7294224 7416816 7437248 7641568 7669662 7701408 7880367 7902076 8034884 8091072 8293824 8366904 8596764 8652952 8765328 8984976 9030944 9313161 9439584 9562176 9725632 9734571 9801792 9889088 10029558 10159812 10226216 10507156 10941336 11125224 11155872 11462352 11504493 11687104 11853114 11979968 12052326 12417548 12504384 12979428 13147992 13372744 13477464 13546416 14061047 14159376 14588448 14833632 15044337 15283136 15339324 15402816 15760734 15804152 16069768 16733808 17193528 17305904 17530656 17779671 17969952 18061888 18078489 18387523 18626322 18879168 19469142 20059116 20319624 20452432 21014312 21730709 21882672 22250448 22311744 22924704 23008986 23641101 23706228 24104652 24835096 25958856 26295984 26745488 26954928 27092832 27939483 28122094 28318752 29176896 29667264 30088674 30678648 31521468 31608304 32139536 33467616 34148257 34387056 34611808 35061312 35559342 35939904 36156978 36775046 37252644 38938284 40118232 40639248 40904864 42028624 42183141 43461418 43765344 44500896 45849408 46017972 47282202 47412456 48209304 49670192 51917712 52591968 53490976 53909856 54185664 55162569 55878966 56244188 56637504 60177348 61357296 63042936 63216608 64279072 65192127 66935232 68296514 68774112 69223616 71118684 72313956 73550092 74505288 77876568 80236464 81278496 81809728 84057248 84366282 86922836 87530688 89001792 92035944 94564404 94824912 96418608 99340384 102444771 103835424 105183936 106981952 107819712 110325138 111757932 112488376 120354696 122714592 126085872 126433216 126549423 128558144 130384254 136593028 137548224 142237368 144627912 147100184 149010576 155753136 160472928 162556992 165487707 168114496 168732564 173845672 184071888 189128808 189649824 192837216 195576381 198680768 204889542 207670848 220650276 223515864 224976752 239037799 240709392 245429184 252171744 253098846 260768508 273186056 284474736 289255824 294200368 298021152 307334313 311506272 320945856 330975414 337465128 347691344 368143776 378257616 379299648 385674432 391152762 409779084 441300552 447031728 449953504 478075598 481418784 504343488 506197692 521537016 546372112 568949472 578511648 588400736 596042304 614668626 623012544 661950828 674930256 695382688 717113397 736287552 756515232 782305524 819558168 882601104 894063456 899907008 956151196 962837568 1012395384 1043074032 1092744224 1137898944 1157023296 1176801472 1229337252 1323901656 1349860512 1390765376 1434226794 1513030464 1564611048 1639116336 1765202208 1788126912 1912302392 2024790768 2086148064 2151340191 2185488448 2458674504 2647803312 2699721024 2868453588 3129222096 3278232672 3530404416 3824604784 4049581536 4172296128 4302680382 4917349008 5295606624 5736907176 6258444192 6556465344 7649209568 8099163072 8605360764 9834698016 10591213248 11473814352 12516888384 15298419136 17210721528 19669396032 22947628704 34421443056 45895257408 68842886112 137685772224
• Sum of all divisors σ(n): 565744181184
• Sum of proper divisors (its aliquot sum) s(n): 428058408960
• 137685772224 is an abundant number, because the sum of its proper divisors (428058408960) is greater than itself. Its abundance is 290372636736

Bases of 137685772224

• Binary: 10000000001110101101100010011111000000₂
• Hexadecimal: 0x200EB627C0
• Base-36: 1R92JXS0

Squares and roots of 137685772224

• 137685772224 squared (137685772224²) is 18957371872919209906176
• 137685772224 cubed (137685772224³) is 2610160385660418609095793146855424
• The square root of 137685772224 is 371060.3350184441
• The cube root of 137685772224 is 5163.7240036229

Scales and comparisons

• 137,685,772,224 seconds is equal to 4,377 years, 51 weeks, 7 hours, 50 minutes, 24 seconds.
• To count from 1 to 137,685,772,224 would take you about eight thousand, seven hundred fifty-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 137685772224 cubic inches would be around 430.3 feet tall.

Recreational maths with 137685772224

• 137685772224 backwards is 422277586731
• The number of decimal digits it has is: 12
• The sum of 137685772224's digits is 54
• More coming soon!