10148656720800

Names of 10148656720800

• Cardinal: 10148656720800 can be written as Ten trillion, one hundred forty-eight billion, six hundred fifty-six million, seven hundred twenty thousand, eight hundred.

Scientific notation

• Scientific notation: 1.01486567208 × 10¹³

Factors of 10148656720800

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 311

Divisors of 10148656720800

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 47 48 50 52 60 65 75 78 80 94 96 100 104 120 130 141 150 156 160 169 188 195 200 208 235 240 241 260 282 300 312 325 338 376 390 400 416 470 480 482 507 520 564 600 611 624 650 676 705 723 752 780 800 845 940 964 975 1014 1040 1128 1175 1200 1205 1222 1248 1300 1352 1410 1446 1504 1560 1690 1833 1880 1928 1950 2028 2080 2209 2256 2350 2400 2410 2444 2535 2600 2704 2820 2892 3055 3120 3133 3380 3525 3615 3666 3760 3856 3900 4056 4225 4418 4512 4700 4820 4888 5070 5200 5408 5640 5784 6025 6110 6240 6266 6627 6760 7050 7230 7332 7520 7712 7800 7943 8112 8450 8836 9165 9399 9400 9640 9776 10140 10400 11045 11280 11327 11568 12050 12220 12532 12675 13254 13520 14100 14460 14664 15275 15600 15665 15886 16224 16900 17672 18075 18330 18798 18800 19280 19552 20280 22090 22560 22654 23136 23829 24100 24440 25064 25350 26508 27040 28200 28717 28920 29328 30550 31200 31330 31772 33135 33800 33981 35344 36150 36660 37596 37600 38560 39715 40560 40729 44180 45308 45825 46995 47658 48200 48880 50128 50700 53016 55225 56400 56635 57434 57840 58656 61100 62660 63544 66270 67600 67962 70688 72300 73320 75192 78325 79430 81120 81458 86151 88360 90616 91650 93990 95316 96400 97760 100256 101400 103823 106032 110450 112800 113270 114868 115680 119145 122187 122200 125320 127088 132540 135200 135924 143585 144600 146640 147251 150384 156650 158860 162916 165675 169905 172302 176720 181232 183300 187980 190632 192800 198575 202800 203645 207646 212064 220900 226540 229736 234975 238290 244374 244400 250640 254176 265080 271848 283175 287170 289200 293280 294502 300768 311469 313300 317720 325832 331350 339810 344604 353440 362464 366600 373321 375960 381264 397150 405600 407290 415292 430755 441753 441800 453080 459472 469950 476580 488748 488800 501280 519115 530160 532369 543696 566350 574340 578400 589004 595725 610935 622938 626600 635440 651664 662700 679620 689208 717925 733200 736255 746642 751920 762528 794300 814580 830584 849525 861510 883506 883600 906160 918944 939900 953160 977496 1018225 1038230 1060320 1064738 1087392 1119963 1132700 1148680 1178008 1191450 1221870 1245876 1253200 1270880 1303328 1325400 1349699 1359240 1378416 1435850 1466400 1472510 1493284 1503840 1557345 1588600 1597107 1629160 1661168 1699050 1723020 1767012 1767200 1812320 1866605 1879800 1906320 1914263 1954992 2036450 2076460 2129476 2153775 2208765 2239926 2265400 2297360 2356016 2382900 2443740 2491752 2506400 2595575 2650800 2661845 2699398 2718480 2756832 2871700 2945020 2986568 3054675 3114690 3177200 3194214 3258320 3322336 3398100 3446040 3534024 3681275 3733210 3759600 3812640 3828526 3909984 4049097 4072900 4152920 4258952 4307550 4417530 4479852 4530800 4594720 4712032 4765800 4887480 4983504 5191150 5301600 5323690 5398796 5436960 5599815 5742789 5743400 5890040 5973136 6109350 6229380 6354400 6388428 6516640 6748495 6796200 6892080 6920797 7068048 7362550 7466420 7519200 7657052 7786725 7985535 8098194 8145800 8305840 8517904 8615100 8835060 8959704 9061600 9333025 9531600 9571315 9774960 9967008 10382300 10647380 10797592 11043825 11199630 11485578 11486800 11780080 11946272 12218700 12458760 12776856 13309225 13496990 13592400 13784160 13841594 14136096 14725100 14932840 15314104 15573450 15971070 16196388 16291600 16611680 17035808 17230200 17546087 17670120 17919408 18666050 19063200 19142630 19549920 20245485 20762391 20764600 21294760 21595184 22087650 22399260 22971156 22973600 23560160 24437400 24917520 25021343 25553712 26618450 26993980 27184800 27683188 27999075 28713945 29450200 29865680 30628208 31146900 31942140 32392776 32583200 33742475 34460400 34603985 35092174 35340240 35838816 37332100 38285260 39927675 40490970 41524782 41529200 42589520 43190368 44175300 44798520 45942312 47856575 48874800 49835040 50042686 51107424 52638261 53236900 53987960 55366376 55998150 57427890 58900400 59731360 61256416 62293800 63884280 64785552 67484950 68920800 69207970 70184348 70680480 74664200 75064029 76570520 79855350 80981940 83049564 83058400 85179040 87730435 88350600 89597040 89970361 91884624 95713150 97749600 100085372 101227425 103811955 105276522 106473800 107975920 110732752 111996300 114855780 117800800 124587600 125106715 127768560 129571104 134969900 138415940 140368696 143569725 149328400 150128058 153141040 159710700 161963880 166099128 173019925 175460870 176701200 179194080 179940722 183769248 191426300 200170744 202454850 207623910 210553044 212947600 215951840 221465504 223992600 229711560 249175200 250213430 255537120 263191305 269911083 269939800 276831880 280737392 287139450 298656800 300256116 306282080 319421400 323927760 325277459 332198256 346039850 350921740 353402400 359881444 375320145 382852600 400341488 404909700 415247820 421106088 425895200 438652175 447985200 449851805 459423120 500426860 519059775 526382610 539822166 539879600 553663760 561474784 574278900 600512232 625533575 638842800 647855520 650554918 664396512 692079700 701843480 719762888 750640290 765705200 800682976 809819400 830495640 842212176 877304350 895970400 899703610 918846240 975832377 1000853720 1038119550 1052765220 1079644332 1079759200 1107327520 1148557800 1201024464 1251067150 1277685600 1301109836 1315956525 1349555415 1384159400 1403686960 1439525776 1501280580 1531410400 1619638800 1626387295 1660991280 1684424352 1754608700 1799407220 1876600725 1951664754 2001707440 2076239100 2105530440 2159288664 2249259025 2297115600 2402048928 2502134300 2602219672 2631913050 2699110830 2768318800 2807373920 2879051552 3002561160 3239277600 3252774590 3321982560 3509217400 3598814440 3753201450 3903329508 4003414880 4152478200 4211060880 4228606967 4318577328 4498518050 4594231200 4879161885 5004268600 5204439344 5263826100 5398221660 5536637600 6005122320 6505549180 6747777075 7018434800 7197628880 7506402900 7806659016 8131936475 8304956400 8422121760 8457213934 8637154656 8997036100 9758323770 10008537200 10408878688 10527652200 10796443320 12010244640 12685820901 13011098360 13495554150 14036869600 14395257760 15012805800 15613318032 16263872950 16609912800 16914427868 17994072200 19516647540 20017074400 21055304400 21143034835 21592886640 24395809425 25371641802 26022196720 26991108300 30025611600 31226636064 32527745900 33828855736 35988144400 39033295080 42110608800 42286069670 43185773280 48791618850 50743283604 52044393440 53982216600 60051223200 63429104505 65055491800 67657711472 71976288800 78066590160 84572139340 97583237700 101486567208 105715174175 107964433200 126858209010 130110983600 135315422944 156133180320 169144278680 195166475400 202973134416 211430348350 215928866400 253716418020 260221967200 317145522525 338288557360 390332950800 405946268832 422860696700 507432836040 634291045050 676577114720 780665901600 845721393400 1014865672080 1268582090100 1691442786800 2029731344160 2537164180200 3382885573600 5074328360400 10148656720800
• Sum of all divisors σ(n): 36699673570560
• Sum of proper divisors (its aliquot sum) s(n): 26551016849760
• 10148656720800 is an abundant number, because the sum of its proper divisors (26551016849760) is greater than itself. Its abundance is 16402360128960

Bases of 10148656720800

• Binary: 10010011101011101011000101000010101110100000₂
• Hexadecimal: 0x93AEB142BA0
• Base-36: 3LI886ILC

Squares and roots of 10148656720800

• 10148656720800 squared (10148656720800²) is 102995233236639009152640000
• 10148656720800 cubed (10148656720800³) is 1045263265997380017040392649062912000000
• The square root of 10148656720800 is 3185695.6415828553
• The cube root of 10148656720800 is 21650.5792866101

Scales and comparisons

• 10,148,656,720,800 seconds is equal to 322,695 years, 46 weeks, 2 days, 15 hours, 20 minutes.
• To count from 1 to 10,148,656,720,800 would take you about eight hundred six thousand, seven hundred thirty-nine 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 10148656720800 cubic inches would be around 1804.2 feet tall.

Recreational maths with 10148656720800

• 10148656720800 backwards is 00802765684101
• 10148656720800 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 10148656720800's digits is 48
• More coming soon!