138825420610800
138,825,420,610,800 is an even composite number composed of seven prime numbers multiplied together.
138825420610800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 138825420610800:
24 × 3 × 52 × 73 × 11 × 173 × 792
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 7 × 11 × 17 × 17 × 17 × 79 × 79)See below for interesting mathematical facts about the number 138825420610800 from the Numbermatics database.
Names of 138825420610800
- Cardinal: 138825420610800 can be written as One hundred thirty-eight trillion, eight hundred twenty-five billion, four hundred twenty million, six hundred ten thousand, eight hundred.
Scientific notation
- Scientific notation: 1.388254206108 × 1014
Factors of 138825420610800
Divisors of 138825420610800
- Number of divisors d(n): 2880
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 17 20 21 22 24 25 28 30 33 34 35 40 42 44 48 49 50 51 55 56 60 66 68 70 75 77 79 80 84 85 88 98 100 102 105 110 112 119 120 132 136 140 147 150 154 158 165 168 170 175 176 187 196 200 204 210 220 231 237 238 240 245 255 264 272 275 280 289 294 300 308 316 330 336 340 343 350 357 374 385 392 395 400 408 420 425 440 462 474 476 490 510 525 528 539 550 553 560 561 578 588 595 600 616 632 660 680 686 700 714 735 748 770 784 790 816 825 833 840 850 867 869 880 924 935 948 952 980 1020 1029 1050 1078 1100 1106 1122 1155 1156 1176 1185 1190 1200 1225 1232 1264 1275 1309 1320 1343 1360 1372 1400 1428 1445 1470 1496 1540 1580 1617 1650 1659 1666 1680 1700 1715 1734 1738 1785 1848 1870 1896 1904 1925 1960 1975 2023 2040 2058 2100 2156 2200 2212 2244 2310 2312 2352 2370 2380 2450 2499 2550 2607 2618 2640 2686 2695 2744 2765 2800 2805 2856 2890 2940 2975 2992 3080 3160 3179 3234 3300 3318 3332 3400 3430 3468 3476 3570 3675 3696 3740 3773 3792 3850 3871 3920 3927 3950 4029 4046 4080 4116 4165 4200 4312 4335 4345 4400 4424 4488 4620 4624 4675 4740 4760 4900 4913 4998 5100 5145 5214 5236 5372 5390 5488 5530 5610 5712 5775 5780 5831 5880 5925 5950 6069 6083 6160 6241 6320 6358 6468 6545 6600 6636 6664 6715 6800 6860 6936 6952 7140 7225 7350 7480 7546 7700 7742 7854 7900 8058 8085 8092 8232 8295 8330 8400 8575 8624 8670 8690 8848 8925 8976 9163 9240 9350 9401 9480 9520 9537 9800 9826 9996 10115 10200 10290 10428 10472 10744 10780 11060 11220 11319 11550 11560 11613 11662 11760 11850 11900 12138 12166 12482 12495 12716 12936 13035 13090 13200 13272 13328 13430 13475 13720 13825 13872 13904 14025 14161 14280 14450 14700 14739 14773 14960 15092 15400 15484 15708 15800 15895 16116 16170 16184 16464 16590 16660 17150 17340 17380 17493 17850 18249 18326 18480 18700 18723 18802 18865 18960 19074 19355 19600 19635 19652 19992 20145 20230 20400 20580 20825 20856 20944 21488 21560 21675 21725 22120 22253 22440 22638 22831 23100 23120 23226 23324 23700 23800 24276 24332 24565 24964 24990 25432 25725 25872 26070 26180 26544 26860 26950 27097 27440 27489 27650 28050 28203 28322 28560 28900 29155 29400 29478 29546 30184 30345 30415 30800 30968 31205 31416 31600 31790 32232 32340 32368 32725 33180 33320 33575 34300 34391 34680 34760 34986 35700 36498 36652 37400 37446 37604 37730 38148 38710 39270 39304 39984 40290 40425 40460 41160 41475 41650 41712 42483 42581 43120 43350 43450 43687 44240 44319 44506 44880 45276 45662 45815 46200 46452 46648 47005 47400 47600 47685 48552 48664 49130 49928 49980 50575 50864 51450 52140 52360 53720 53900 54043 54194 54978 55300 56100 56406 56595 56644 57800 58065 58310 58800 58956 59092 60368 60690 60830 61936 62410 62475 62832 63580 64141 64464 64680 65175 65450 65807 66360 66640 66759 67150 68493 68600 68651 68782 69360 69520 69972 70805 71400 72996 73304 73695 73865 74800 74892 75208 75460 76296 77420 78540 78608 79475 80580 80850 80920 81291 82320 82950 83300 84966 85162 86700 86900 87374 87465 88638 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52585386595 53027280600 53251024400 54441341416 55552389200 56663436984 58330008660 58576126840 59024413525 60045597150 60097584680 61865160700 62760135900 63102463914 64390269300 66107343148 67456472600 68051676770 68623539600 70291352208 70829296230 72117101616 72912510825 73220158550 74238192840 75121980850 77773344880 79876536600 80060796200 80947767120 81662012124 82634178935 83328583800 83680181200 84136618552 85853692400 87864190260 90146377020 92797741050 94439061640 96072955440 97216681100 99161014722 101184708900 102077515155 103369635600 105170773190 106054561200 108882682832 109830237825 112682971275 113326873968 115687850509 116660017320 117152253680 118048827050 120091194300 120195169360 123730321400 125520271800 126204927828 128780538600 132214686296 134912945200 136103353540 141658592460 145825021650 146440317100 148476385680 150243961700 157756159785 159753073200 160121592400 163324024248 165268357870 166657167600 168273237104 170129191925 175728380520 177073240575 180292754040 185595482100 188878123280 194433362200 198322029444 202369417800 204155030310 210341546380 219660475650 225365942550 231375701018 233320034640 236097654100 240182388600 247460642800 247902536805 251040543600 252409855656 257561077200 262926932975 264429372592 272206707080 283317184920 291650043300 292880634200 300487923400 315512319570 326648048496 330536715740 340258383850 347063551527 351456761040 354146481150 360585508080 371190964200 388866724400 396644058888 404738835600 408310060620 413170894675 420683092760 439320951300 450731885100 462751402036 472195308200 480364777200 495805073610 504819711312 510387575775 525853865950 544413414160 566634369840 578439252545 583300086600 585761268400 600975846800 631024639140 661073431480 680516767700 694127103054 708292962300 742381928400 788780798925 793288117776 816620121240 826341789350 841366185520 878641902600 901463770200 925502804072 944390616400 991610147220 1020775151550 1051707731900 1156878505090 1166600173200 1239512684025 1262049278280 1322146862960 1361033535400 1388254206108 1416585924600 1577561597850 1633240242480 1652683578700 1735317757635 1757283805200 1802927540400 1851005608144 1983220294440 2041550303100 2103415463800 2313757010180 2479025368050 2524098556560 2722067070800 2776508412216 2833171849200 2892196262725 3155123195700 3305367157400 3470635515270 3966440588880 4083100606200 4206830927600 4627514020360 4958050736100 5553016824432 5784392525450 6310246391400 6610734314800 6941271030540 8166201212400 8676588788175 9255028040720 9916101472200 11568785050900 12620492782800 13882542061080 17353177576350 19832202944400 23137570101800 27765084122160 34706355152700 46275140203600 69412710305400 138825420610800
- Sum of all divisors σ(n): 608808783744000
- Sum of proper divisors (its aliquot sum) s(n): 469983363133200
- 138825420610800 is an abundant number, because the sum of its proper divisors (469983363133200) is greater than itself. Its abundance is 331157942522400
Bases of 138825420610800
- Binary: 111111001000010110011111110000110011100111100002
- Hexadecimal: 0x7E42CFE19CF0
- Base-36: 1D7JIN2CXC
Squares and roots of 138825420610800
- 138825420610800 squared (1388254206108002) is 19272497407765533445076640000
- 138825420610800 cubed (1388254206108003) is 2675512558853602858699999308441611712000000
-
The
square root of 138825420610800 is 11782419.9810904721 -
The
cube root of 138825420610800 is 51779.3188027923
Scales and comparisons
How big is 138825420610800?- 138,825,420,610,800 seconds is equal to 4,414,218 years, 49 weeks, 6 days, 12 hours, 20 minutes.
-
To count from 1 to 138,825,420,610,800 would take you about eleven million, thirty-five thousand, five hundred forty-seven 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 138825420610800 cubic inches would be around 4314.9 feet tall.
Recreational maths with 138825420610800
- 138825420610800 backwards is 008016024528831
- 138825420610800 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138825420610800's digits is 48
- More coming soon!
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"Number 138825420610800 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
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Numbermatics. (2024). Number 138825420610800 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/138825420610800/
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The information we have on file for 138825420610800 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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