138381579144900
138,381,579,144,900 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138381579144900 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2187 divisors.
138381579144900 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred eighty-seven divisors.
Prime factorization of 138381579144900:
22 × 32 × 52 × 72 × 132 × 312 × 1392
(2 × 2 × 3 × 3 × 5 × 5 × 7 × 7 × 13 × 13 × 31 × 31 × 139 × 139)See below for interesting mathematical facts about the number 138381579144900 from the Numbermatics database.
Names of 138381579144900
- Cardinal: 138381579144900 can be written as One hundred thirty-eight trillion, three hundred eighty-one billion, five hundred seventy-nine million, one hundred forty-four thousand, nine hundred.
Scientific notation
- Scientific notation: 1.383815791449 × 1014
Factors of 138381579144900
Divisors of 138381579144900
- Number of divisors d(n): 2187
-
Complete list of divisors:
1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 25 26 28 30 31 35 36 39 42 45 49 50 52 60 62 63 65 70 75 78 84 90 91 93 98 100 105 117 124 126 130 139 140 147 150 155 156 169 175 180 182 186 195 196 210 217 225 234 245 252 260 273 278 279 294 300 310 315 325 338 350 364 372 390 403 417 420 434 441 450 455 465 468 490 507 525 546 556 558 585 588 620 630 637 650 651 676 695 700 735 775 780 806 819 834 845 868 882 900 910 930 961 973 975 980 1014 1050 1085 1092 1116 1170 1183 1209 1225 1251 1260 1274 1300 1302 1365 1390 1395 1470 1519 1521 1550 1575 1612 1638 1668 1690 1764 1807 1820 1860 1911 1922 1946 1950 1953 2015 2028 2085 2100 2170 2205 2275 2325 2340 2366 2418 2450 2502 2535 2548 2604 2730 2780 2790 2821 2883 2919 2925 2940 3038 3042 3100 3150 3185 3255 3276 3380 3475 3549 3614 3627 3675 3822 3844 3892 3900 3906 4030 4095 4170 4225 4309 4340 4410 4550 4557 4650 4732 4805 4836 4865 4900 5004 5070 5239 5421 5425 5460 5580 5642 5733 5766 5838 5850 5915 6045 6076 6084 6255 6300 6370 6510 6727 6811 6825 6950 6975 7098 7228 7254 7350 7595 7605 7644 7812 8060 8190 8281 8340 8450 8463 8618 8649 8757 8820 9035 9100 9114 9300 9555 9610 9730 9765 10075 10140 10425 10478 10647 10842 10850 11025 11284 11466 11532 11676 11700 11830 12090 12493 12510 12649 12675 12740 12927 13020 13454 13622 13650 13671 13900 13950 14105 14196 14415 14508 14595 14700 15190 15210 15717 15925 16263 16275 16380 16562 16900 16926 17236 17298 17514 17745 18070 18135 18228 19110 19220 19321 19460 19530 19747 20150 20181 20433 20475 20850 20956 21294 21545 21684 21700 22050 22785 22932 23491 23660 24025 24180 24325 24843 24986 25020 25298 25350 25389 25854 26195 26908 27105 27244 27300 27342 27900 28210 28665 28830 29190 29575 30163 30225 30380 30420 31275 31434 31850 32526 32550 33124 33635 33852 34055 34596 35028 35490 36140 36270 36673 37479 37947 37975 38025 38220 38642 38781 39060 39494 40300 40362 40866 40950 41405 41700 42315 42588 43090 43245 43785 44100 45175 45570 46982 47089 47151 47775 48050 48650 48825 49686 49972 50596 50700 50778 51708 52390 53235 54210 54684 56017 56420 57330 57660 57963 58380 59150 59241 60326 60450 60543 61299 62465 62550 62868 63245 63700 64635 65052 65100 67270 68110 68355 70473 70525 70980 72075 72540 72975 73346 74529 74958 75894 75950 76050 77284 77562 78585 78988 80724 81315 81732 81900 82810 84630 86180 86490 87451 87570 88543 88725 90350 90489 90675 91140 93964 94178 94302 95550 96100 96605 97300 97650 98735 99372 100905 101556 102165 104780 106470 107725 108420 110019 112034 112437 113841 113925 114660 115926 117455 118300 118482 120652 120900 121086 122598 124215 124930 125100 126490 126945 129270 130975 133579 134540 135247 135525 136220 136710 140946 141050 141267 143325 144150 145950 146692 149058 149916 150815 151788 151900 152100 155124 157170 162409 162630 164437 165620 168051 168175 169260 170275 172980 173889 174902 175140 177086 177450 177723 180700 180978 181350 183365 187395 188356 188604 189735 191100 193210 193905 195300 197470 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818825912100 887061404775 892784381580 922543860966 941371286700 988439851035 995550929100 1064473685730 1098266501150 1115980476975 1182748539700 1317919801380 1383815791449 1412056930050 1487973969300 1520676693900 1537573101610 1647399751725 1774122809550 1845087721932 1976879702070 2128947371460 2196533002300 2231960953950 2306359652415 2661184214325 2767631582898 2824113860100 3075146203220 3294799503450 3548245619100 3843932754025 3953759404140 4463921907900 4612719304830 4942199255175 5322368428650 5535263165796 6589599006900 6919078957245 7687865508050 9225438609660 9884398510350 10644736857300 11531798262075 13838157914490 15375731016100 19768797020700 23063596524150 27676315828980 34595394786225 46127193048300 69190789572450 138381579144900
- Sum of all divisors σ(n): 568647890906823
- Sum of proper divisors (its aliquot sum) s(n): 430266311761923
- 138381579144900 is an abundant number, because the sum of its proper divisors (430266311761923) is greater than itself. Its abundance is 291884732617023
Bases of 138381579144900
- Binary: 111110111011011011110001101111001001110110001002
- Hexadecimal: 0x7DDB78DE4EC4
- Base-36: 1D1VMBBE10
Squares and roots of 138381579144900
- 138381579144900 squared (1383815791449002) is 19149461446636222615196010000
- 138381579144900 cubed (1383815791449003) is 2649932714759901687703921915241691849000000
-
138381579144900 is a
perfect square number . Itssquare root is 11763570 -
The
cube root of 138381579144900 is 51724.0783333411
Scales and comparisons
How big is 138381579144900?- 138,381,579,144,900 seconds is equal to 4,400,106 years, 9 weeks, 12 hours, 15 minutes.
-
To count from 1 to 138,381,579,144,900 would take you about eleven million, two hundred sixty-five 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 138381579144900 cubic inches would be around 4310.3 feet tall.
Recreational maths with 138381579144900
- 138381579144900 backwards is 009441975183831
- 138381579144900 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138381579144900's digits is 63
- More coming soon!
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The information we have on file for 138381579144900 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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