10138736400
10,138,736,400 is an even composite number composed of seven prime numbers multiplied together.
10138736400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 10138736400:
24 × 3 × 52 × 13 × 29 × 73 × 307
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 29 × 73 × 307)See below for interesting mathematical facts about the number 10138736400 from the Numbermatics database.
Names of 10138736400
- Cardinal: 10138736400 can be written as Ten billion, one hundred thirty-eight million, seven hundred thirty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.01387364 × 1010
Factors of 10138736400
Divisors of 10138736400
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 29 30 39 40 48 50 52 58 60 65 73 75 78 80 87 100 104 116 120 130 145 146 150 156 174 195 200 208 219 232 240 260 290 292 300 307 312 325 348 365 377 390 400 435 438 464 520 580 584 600 614 624 650 696 725 730 754 780 870 876 921 949 975 1040 1095 1131 1160 1168 1200 1228 1300 1392 1450 1460 1508 1535 1560 1740 1752 1825 1842 1885 1898 1950 2117 2175 2190 2262 2320 2456 2600 2847 2900 2920 3016 3070 3120 3480 3504 3650 3684 3770 3796 3900 3991 4234 4350 4380 4524 4605 4745 4912 5200 5475 5655 5694 5800 5840 6032 6140 6351 6960 7300 7368 7540 7592 7675 7800 7982 8468 8700 8760 8903 9048 9210 9425 9490 10585 10950 11310 11388 11600 11973 12280 12702 14235 14600 14736 15080 15184 15350 15600 15964 16936 17400 17520 17806 18096 18420 18850 18980 19955 21170 21900 22411 22620 22776 23025 23725 23946 24560 25404 26709 27521 28275 28470 29200 30160 30700 31755 31928 33872 34800 35612 36840 37700 37960 39910 42340 43800 44515 44822 45240 45552 46050 47450 47892 50808 52925 53418 55042 56550 56940 59865 61400 63510 63856 67233 71175 71224 73680 75400 75920 79820 82563 84680 87600 89030 89644 90480 92100 94900 95784 99775 101616 105850 106836 110084 112055 113100 113880 115739 119730 122800 127020 133545 134466 137605 142350 142448 150800 158775 159640 165126 169360 178060 179288 184200 189800 191568 199550 211700 213672 220168 222575 224110 226200 227760 231478 239460 254040 267090 268932 275210 284700 291343 299325 317550 319280 330252 336165 347217 356120 358576 368400 379600 399100 412815 423400 427344 440336 445150 448220 452400 462956 478920 508080 534180 537864 550420 560275 569400 578695 582686 598650 635100 649919 660504 667725 672330 688025 694434 712240 798200 825630 846800 874029 890300 896440 925912 957840 1068360 1075728 1100840 1120550 1138800 1157390 1165372 1197300 1270200 1299838 1321008 1335450 1344660 1376050 1388868 1456715 1596400 1651260 1680825 1736085 1748058 1780600 1792880 1851824 1949757 2064075 2136720 2201680 2241100 2314780 2330744 2394600 2540400 2599676 2670900 2689320 2752100 2777736 2893475 2913430 3249595 3302520 3361650 3472170 3496116 3561200 3899514 4128150 4370145 4482200 4629560 4661488 4789200 5199352 5341800 5378640 5504200 5555472 5786950 5826860 6499190 6605040 6723300 6944340 6992232 7283575 7799028 8256300 8448947 8680425 8740290 8964400 9259120 9748785 10398704 10683600 11008400 11573900 11653720 12998380 13446600 13888680 13984464 14567150 15598056 16247975 16512600 16897894 17360850 17480580 19497570 21850725 23147800 23307440 25346841 25996760 26893200 27777360 29134300 31196112 32495950 33025200 33795788 34721700 34961160 38995140 42244735 43701450 46295600 48743925 50693682 51993520 58268600 64991900 67591576 69443400 69922320 77990280 84489470 87402900 97487850 101387364 116537200 126734205 129983800 135183152 138886800 155980560 168978940 174805800 194975700 202774728 211223675 253468410 259967600 337957880 349611600 389951400 405549456 422447350 506936820 633671025 675915760 779902800 844894700 1013873640 1267342050 1689789400 2027747280 2534684100 3379578800 5069368200 10138736400
- Sum of all divisors σ(n): 36797228160
- Sum of proper divisors (its aliquot sum) s(n): 26658491760
- 10138736400 is an abundant number, because the sum of its proper divisors (26658491760) is greater than itself. Its abundance is 16519755360
Bases of 10138736400
- Binary: 10010111000101000011010111000100002
- Hexadecimal: 0x25C50D710
- Base-36: 4NOCB2O
Squares and roots of 10138736400
- 10138736400 squared (101387364002) is 102793975788684960000
- 10138736400 cubed (101387364003) is 1042201024029458912084544000000
-
The
square root of 10138736400 is 100691.2925728931 -
The
cube root of 10138736400 is 2164.3522500057
Scales and comparisons
How big is 10138736400?- 10,138,736,400 seconds is equal to 322 years, 19 weeks, 5 days, 11 hours, 40 minutes.
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To count from 1 to 10,138,736,400 would take you about six hundred forty-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 10138736400 cubic inches would be around 180.4 feet tall.
Recreational maths with 10138736400
- 10138736400 backwards is 00463783101
- The number of decimal digits it has is: 11
- The sum of 10138736400's digits is 33
- More coming soon!
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