137982686400

Names of 137982686400

• Cardinal: 137982686400 can be written as One hundred thirty-seven billion, nine hundred eighty-two million, six hundred eighty-six thousand, four hundred.

Scientific notation

• Scientific notation: 1.379826864 × 10¹¹

Factors of 137982686400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 113

Divisors of 137982686400

• Number of divisors d(n): 1134
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 31 32 36 39 40 45 48 50 52 59 60 62 64 65 72 75 78 80 90 93 96 100 104 117 118 120 124 130 144 150 155 156 160 169 177 180 186 192 195 200 208 225 234 236 240 248 260 279 288 295 300 310 312 320 325 338 354 360 372 390 400 403 416 450 465 468 472 480 496 507 520 531 558 576 585 590 600 620 624 650 676 708 720 744 767 775 780 800 806 832 845 885 900 930 936 944 960 961 975 992 1014 1040 1062 1116 1170 1180 1200 1209 1240 1248 1300 1352 1395 1416 1440 1475 1488 1521 1534 1550 1560 1600 1612 1690 1770 1800 1829 1860 1872 1888 1922 1950 1984 2015 2028 2080 2124 2232 2301 2325 2340 2360 2400 2418 2480 2496 2535 2600 2655 2704 2790 2832 2880 2883 2925 2950 2976 3042 3068 3100 3120 3224 3380 3540 3600 3627 3658 3720 3744 3776 3835 3844 3900 4030 4056 4160 4225 4248 4425 4464 4602 4650 4680 4720 4800 4805 4836 4960 5070 5200 5239 5310 5408 5487 5580 5664 5766 5850 5900 5952 6045 6084 6136 6200 6240 6448 6760 6903 6975 7080 7200 7254 7316 7440 7488 7605 7670 7688 7800 8060 8112 8450 8496 8649 8850 8928 9145 9204 9300 9360 9440 9610 9672 9920 9971 10075 10140 10400 10478 10620 10816 10974 11160 11328 11505 11532 11700 11800 12090 12168 12272 12400 12480 12493 12675 12896 13275 13520 13806 13950 14160 14400 14415 14508 14632 14880 15210 15340 15376 15600 15717 16120 16224 16461 16900 16992 17298 17700 17856 18135 18290 18408 18600 18720 18880 19175 19220 19344 19942 20150 20280 20800 20956 21240 21948 22320 23010 23064 23400 23600 23777 24025 24180 24336 24544 24800 24986 25350 25792 26195 26550 27040 27435 27612 27900 28320 28830 29016 29264 29760 29913 30225 30420 30680 30752 31200 31434 32240 32448 32922 33800 33984 34515 34596 35400 36270 36580 36816 37200 37440 37479 38025 38350 38440 38688 39884 40300 40560 41912 42480 43245 43896 44640 45725 46020 46128 46800 47151 47200 47554 48050 48360 48672 49088 49600 49855 49972 50700 52390 53100 54080 54870 55224 55800 56640 56699 57525 57660 58032 58528 59826 60450 60840 61360 61504 62400 62465 62868 64480 65844 67600 69030 69192 70800 71331 72075 72540 73160 73632 74400 74958 76050 76700 76880 77376 78585 79768 80600 81120 82305 83824 84960 86490 87792 89280 89739 90675 91450 92040 92256 93600 94302 94400 95108 96100 96720 97344 99710 99944 101400 104780 106200 109740 110448 111600 112437 113398 115050 115320 116064 117056 118885 119652 120900 121680 122720 124930 125736 128960 130975 131688 135200 137175 138060 138384 141600 142662 144150 145080 146320 147264 148800 149565 149916 152100 153400 153760 157170 159536 161200 162240 162409 164610 167648 169920 170097 172575 172980 175584 179478 181350 182900 184080 184512 187200 187395 188604 190216 192200 193440 199420 199888 202800 209560 212400 213993 216225 219480 220896 223200 224874 226796 230100 230640 232128 235755 237770 239304 241800 243360 245440 249275 249860 251472 261950 263376 270400 274350 276120 276768 283200 283495 285324 288300 290160 292640 299130 299832 304200 306800 307520 309101 312325 314340 319072 322400 324818 329220 335296 340194 345150 345960 351168 356655 358956 362700 365800 368160 374790 377208 380432 384400 386880 392925 398840 399776 405600 411525 419120 424800 427986 432450 438960 441792 446400 448695 449748 453592 460200 461280 471510 475540 478608 483600 486720 487227 498550 499720 502944 510291 523900 526752 548700 552240 553536 562185 566990 570648 576600 580320 585280 594425 598260 599664 608400 613600 618202 624650 628680 638144 644800 649636 658440 680388 690300 691920 713310 717912 725400 731600 736320 737087 747825 749580 754416 760864 768800 785850 797680 799552 811200 812045 823050 838240 849600 850485 855972 864900 877920 897390 899496 907184 920400 922560 927303 936975 943020 951080 957216 967200 974454 997100 999440 1005888 1020582 1047800 1053504 1069965 1097400 1104480 1124370 1133980 1141296 1153200 1160640 1178775 1188850 1196520 1199328 1216800 1227200 1236404 1249300 1257360 1299272 1316880 1360776 1380600 1383840 1417475 1426620 1435824 1450800 1461681 1463200 1474174 1495650 1499160 1508832 1521728 1537600 1545505 1571700 1595360 1624090 1646100 1676480 1700970 1711944 1729800 1755840 1783275 1794780 1798992 1814368 1840800 1854606 1873950 1886040 1902160 1914432 1934400 1948908 1994200 1998880 2041164 2095600 2139930 2194800 2208960 2211261 2243475 2248740 2267960 2282592 2306400 2357550 2377700 2393040 2398656 2433600 2436135 2472808 2498600 2514720 2551455 2598544 2633760 2721552 2761200 2767680 2781909 2810925 2834950 2853240 2871648 2901600 2923362 2926400 2948348 2991300 2998320 3017664 3091010 3143400 3190720 3248180 3292200 3401940 3423888 3459600 3566550 3589560 3597984 3628736 3681600 3685435 3709212 3747900 3772080 3804320 3897816 3988400 3997760 4060225 4082328 4191200 4252425 4279860 4389600 4422522 4486950 4497480 4535920 4565184 4612800 4636515 4715100 4755400 4786080 4872270 4945616 4997200 5029440 5102910 5197088 5267520 5349825 5443104 5522400 5563818 5621850 5669900 5706480 5743296 5803200 5846724 5896696 5982600 5996640 6182020 6286800 6496360 6584400 6633783 6803880 6847776 6919200 7133100 7179120 7195968 7308405 7370870 7418424 7495800 7544160 7608640 7727525 7795632 7976800 8120450 8164656 8382400 8504850 8559720 8779200 8845044 8973900 8994960 9071840 9273030 9430200 9510800 9572160 9582131 9744540 9891232 9994400 10205820 10394176 10699650 10886208 11044800 11056305 11127636 11243700 11339800 11412960 11693448 11793392 11965200 11993280 12180675 12364040 12573600 12757275 12992720 13168800 13267566 13607760 13695552 13838400 13909545 14266200 14358240 14616810 14741740 14836848 14991600 15088320 15455050 15591264 15953600 16240900 16329312 17009700 17119440 17690088 17947800 17989920 18143680 18427175 18546060 18860400 19021600 19164262 19489080 19782464 19988800 20411640 21399300 22112610 22255272 22487400 22679600 22825920 23182575 23386896 23586784 23930400 24361350 24728080 25147200 25514550 25985440 26337600 26535132 27215520 27819090 28532400 28716480 28746393 29233620 29483480 29673696 29983200 30910100 31182528 32481800 32658624 33168915 34019400 34238880 35380176 35895600 35979840 36542025 36854350 37092120 37720800 38043200 38328524 38978160 40823280 42798600 44225220 44510544 44974800 45359200 46365150 46773792 47173568 47860800 47910655 48722700 49456160 51029100 51970880 53070264 54431040 55281525 55638180 57064800 57492786 58467240 58966960 59347392 59966400 61820200 64963600 66337830 68038800 68477760 69547725 70760352 71791200 73084050 73708700 74184240 75441600 76657048 77956320 81646560 85597200 86239179 88450440 89021088 89949600 90718400 92730300 93547584 95821310 97445400 98912320 102058200 106140528 110563050 111276360 114129600 114985572 116934480 117933920 123640400 129927200 132675660 136077600 139095450 141520704 143582400 143731965 146168100 147417400 148368480 153314096 155912640 163293120 165844575 171194400 172478358 176900880 178042176 179899200 185460600 191642620 194890800 204116400 212281056 221126100 222552720 229971144 233868960 235867840 239553275 247280800 259854400 265351320 272155200 278190900 287463930 292336200 294834800 296736960 306628192 331689150 342388800 344956716 353801760 370921200 383285240 389781600 408232800 424562112 431195895 442252200 445105440 459942288 467737920 479106550 494561600 530702640 556381800 574927860 584672400 589669600 613256384 663378300 689913432 707603520 718659825 741842400 766570480 779563200 816465600 862391790 884504400 890210880 919884576 958213100 1061405280 1112763600 1149855720 1169344800 1179339200 1326756600 1379826864 1437319650 1483684800 1533140960 1724783580 1769008800 1839769152 1916426200 2122810560 2155979475 2225527200 2299711440 2338689600 2653513200 2759653728 2874639300 3066281920 3449567160 3538017600 3832852400 4311958950 4451054400 4599422880 5307026400 5519307456 5749278600 6899134320 7665704800 8623917900 9198845760 10614052800 11498557200 13798268640 15331409600 17247835800 22997114400 27596537280 34495671600 45994228800 68991343200 137982686400
• Sum of all divisors σ(n): 558033608340
• Sum of proper divisors (its aliquot sum) s(n): 420050921940
• 137982686400 is an abundant number, because the sum of its proper divisors (420050921940) is greater than itself. Its abundance is 282068235540

Bases of 137982686400

• Binary: 10000000100000011010001011010011000000₂
• Hexadecimal: 0x202068B4C0
• Base-36: 1RDZBU80

Squares and roots of 137982686400

• 137982686400 squared (137982686400²) is 19039221746160744960000
• 137982686400 cubed (137982686400³) is 2627082963500558475806060544000000
• The square root of 137982686400 is 371460.2083669259
• The cube root of 137982686400 is 5167.4331307353

Scales and comparisons

• 137,982,686,400 seconds is equal to 4,387 years, 21 weeks, 6 days, 20 hours.
• To count from 1 to 137,982,686,400 would take you about eight thousand, seven hundred seventy-four 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 137982686400 cubic inches would be around 430.6 feet tall.

Recreational maths with 137982686400

• 137982686400 backwards is 004686289731
• The number of decimal digits it has is: 12
• The sum of 137982686400's digits is 54
• More coming soon!