138374733346080
138,374,733,346,080 is an even composite number composed of seven prime numbers multiplied together.
138374733346080 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 138374733346080:
25 × 3 × 5 × 73 × 11 × 312 × 433
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 7 × 11 × 31 × 31 × 43 × 43 × 43)See below for interesting mathematical facts about the number 138374733346080 from the Numbermatics database.
Names of 138374733346080
- Cardinal: 138374733346080 can be written as One hundred thirty-eight trillion, three hundred seventy-four billion, seven hundred thirty-three million, three hundred forty-six thousand and eighty.
Scientific notation
- Scientific notation: 1.3837473334608 × 1014
Factors of 138374733346080
Divisors of 138374733346080
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 31 32 33 35 40 42 43 44 48 49 55 56 60 62 66 70 77 80 84 86 88 93 96 98 105 110 112 120 124 129 132 140 147 154 155 160 165 168 172 176 186 196 210 215 217 220 224 231 240 245 248 258 264 280 294 301 308 310 330 336 341 343 344 352 372 385 392 420 430 434 440 462 465 473 480 490 496 516 528 539 560 588 602 616 620 645 651 660 672 682 686 688 735 744 770 784 840 860 868 880 903 924 930 946 961 980 992 1023 1029 1032 1056 1078 1085 1120 1155 1176 1204 1232 1240 1290 1302 1320 1333 1364 1372 1376 1419 1470 1488 1505 1519 1540 1568 1617 1680 1705 1715 1720 1736 1760 1806 1848 1849 1860 1892 1922 1960 2046 2058 2064 2107 2156 2170 2310 2352 2365 2387 2408 2464 2480 2580 2604 2640 2666 2695 2728 2744 2838 2883 2940 2976 3010 3038 3080 3234 3255 3311 3360 3410 3430 3440 3472 3612 3696 3698 3720 3773 3784 3844 3920 3999 4092 4116 4128 4214 4312 4340 4515 4557 4620 4704 4730 4774 4805 4816 4960 5115 5145 5160 5208 5280 5332 5390 5456 5488 5547 5676 5766 5880 6020 6076 6160 6321 6468 6510 6622 6665 6727 6820 6860 6880 6944 7095 7161 7224 7392 7396 7440 7546 7568 7595 7688 7840 7998 8085 8184 8232 8428 8624 8680 9030 9114 9240 9245 9331 9460 9548 9610 9632 9933 10230 10290 10320 10416 10535 10571 10633 10664 10780 10912 10976 11094 11319 11352 11532 11760 11935 12040 12152 12320 12642 12936 12943 13020 13244 13330 13454 13640 13720 14190 14322 14415 14448 14663 14749 14792 14880 15092 15136 15190 15376 15996 16170 16368 16464 16555 16709 16856 17248 17360 18060 18228 18480 18490 18662 18865 18920 19096 19220 19866 19995 20181 20339 20460 20580 20640 20832 21070 21142 21266 21328 21560 22188 22638 22704 22785 23064 23177 23520 23870 24080 24304 25284 25872 25886 26040 26488 26660 26908 27280 27440 27735 27993 28380 28644 28830 28896 29326 29498 29584 30184 30380 30752 31605 31713 31899 31992 32340 32736 32928 33110 33418 33635 33712 34720 35805 36120 36456 36960 36980 37324 37730 37840 38192 38440 38829 39732 39990 40362 40678 40920 41160 41323 42140 42284 42532 42656 43120 43989 44247 44376 45276 45408 45570 46128 46354 46655 47089 47740 48160 48608 49665 50127 50568 51744 51772 52080 52855 52976 53165 53320 53816 54560 54880 55470 55986 56595 56760 57288 57319 57660 58652 58996 59168 60368 60760 61017 63210 63426 63798 63984 64680 64715 65317 66220 66836 67270 67424 69531 71610 72240 72912 73315 73745 73960 73997 74648 75460 75680 76384 76880 77658 79464 79507 79980 80724 81356 81840 82320 82646 83545 84280 84568 85064 86240 87978 88494 88752 90552 90601 91140 92256 92708 93310 94178 95480 99330 100254 100905 101136 101695 102641 103544 104160 105710 105952 106330 106640 107632 110940 111972 113190 113520 114576 114638 115320 115885 116963 117304 117992 120736 121520 122034 123969 126420 126852 127596 127968 129360 129430 130634 132440 133672 134540 139062 139965 141267 142373 143220 144480 145824 146630 147490 147920 147994 149296 150920 153760 155316 158565 158928 159014 159495 159960 161448 162239 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898537229520 941324716640 988390952472 1048293434440 1072672351520 1115925268920 1153122777884 1235488690590 1257952121328 1317854603296 1411987074960 1441403472355 1487900358560 1572440151660 1609008527280 1647318254120 1729684166826 1797074459040 1976781904944 2096586868880 2231850537840 2306245555768 2470977381180 2515904242656 2823974149920 2882806944710 3144880303320 3218017054560 3294636508240 3459368333652 3953563809888 4193173737760 4324210417065 4463701075680 4612491111536 4941954762360 5765613889420 6289760606640 6589273016480 6918736667304 8648420834130 9224982223072 9883909524720 11531227778840 12579521213280 13837473334608 17296841668260 19767819049440 23062455557680 27674946669216 34593683336520 46124911115360 69187366673040 138374733346080
- Sum of all divisors σ(n): 586633259520000
- Sum of proper divisors (its aliquot sum) s(n): 448258526173920
- 138374733346080 is an abundant number, because the sum of its proper divisors (448258526173920) is greater than itself. Its abundance is 309883792827840
Bases of 138374733346080
- Binary: 111110111011001111000001101001110110101001000002
- Hexadecimal: 0x7DD9E0D3B520
- Base-36: 1D1SH3I5UO
Squares and roots of 138374733346080
- 138374733346080 squared (1383747333460802) is 19147566828598744313051366400
- 138374733346080 cubed (1383747333460803) is 2649539454133597936495204672745988083712000
-
The
square root of 138374733346080 is 11763279.0218578085 -
The
cube root of 138374733346080 is 51723.2253814867
Scales and comparisons
How big is 138374733346080?- 138,374,733,346,080 seconds is equal to 4,399,888 years, 25 weeks, 6 days, 17 hours, 28 minutes.
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To count from 1 to 138,374,733,346,080 would take you about ten million, nine hundred ninety-nine thousand, seven hundred twenty-one 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 138374733346080 cubic inches would be around 4310.3 feet tall.
Recreational maths with 138374733346080
- 138374733346080 backwards is 080643337473831
- 138374733346080 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138374733346080's digits is 60
- More coming soon!
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The information we have on file for 138374733346080 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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