138385153200
138,385,153,200 is an even composite number composed of six prime numbers multiplied together.
138385153200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 138385153200:
24 × 3 × 52 × 72 × 313 × 79
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 31 × 31 × 31 × 79)See below for interesting mathematical facts about the number 138385153200 from the Numbermatics database.
Names of 138385153200
- Cardinal: 138385153200 can be written as One hundred thirty-eight billion, three hundred eighty-five million, one hundred fifty-three thousand, two hundred.
Scientific notation
- Scientific notation: 1.383851532 × 1011
Factors of 138385153200
Divisors of 138385153200
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 31 35 40 42 48 49 50 56 60 62 70 75 79 80 84 93 98 100 105 112 120 124 140 147 150 155 158 168 175 186 196 200 210 217 237 240 245 248 280 294 300 310 316 336 350 372 392 395 400 420 434 465 474 490 496 525 553 560 588 600 620 632 651 700 735 744 775 784 790 840 868 930 948 961 980 1050 1085 1106 1176 1185 1200 1225 1240 1264 1302 1400 1470 1488 1519 1550 1580 1659 1680 1736 1860 1896 1922 1960 1975 2100 2170 2212 2325 2352 2370 2449 2450 2480 2604 2765 2800 2883 2940 3038 3100 3160 3255 3318 3472 3675 3720 3792 3844 3871 3920 3950 4200 4340 4424 4557 4650 4740 4805 4898 4900 5208 5425 5530 5766 5880 5925 6076 6200 6320 6510 6636 6727 7347 7350 7440 7595 7688 7742 7900 8295 8400 8680 8848 9114 9300 9480 9610 9796 9800 10416 10850 11060 11532 11613 11760 11850 12152 12245 12400 13020 13272 13454 13825 14415 14694 14700 15190 15376 15484 15800 16275 16590 17143 17360 18228 18600 18960 19220 19355 19592 19600 20181 21700 22120 22785 23064 23226 23700 24025 24304 24490 26040 26544 26908 27650 28830 29388 29400 29791 30380 30968 31600 32550 33180 33635 34286 36456 36735 37200 37975 38440 38710 39184 40362 41475 43400 44240 45570 46128 46452 47089 47400 48050 48980 51429 52080 53816 55300 57660 58065 58776 58800 59582 60760 61225 61936 65100 66360 67270 68572 72075 72912 73470 75919 75950 76880 77420 80724 82950 85715 86800 89373 91140 92904 94178 94800 96100 96775 97960 100905 102858 107632 110600 113925 115320 116130 117552 119164 120001 121520 122450 130200 132720 134540 137144 141267 144150 146940 148955 151838 151900 154840 161448 165900 168175 171430 178746 182280 183675 185808 188356 192200 193550 195920 201810 205716 208537 221200 227757 227850 230640 232260 235445 238328 240002 244900 257145 260400 269080 274288 282534 288300 290325 293880 297910 303676 303800 309680 322896 331800 336350 342860 357492 360003 364560 367350 376712 379595 384400 387100 403620 411432 417074 428575 446865 455514 455700 464520 470890 476656 480004 489800 504525 514290 531433 538160 565068 576600 580650 587760 595820 600005 607352 607600 625611 663600 672700 685720 706335 714984 720006 734700 744775 753424 759190 774200 807240 822864 834148 857150 893730 911028 911400 929040 941780 960008 979600 1009050 1028580 1042685 1062866 1130136 1138785 1153200 1161300 1177225 1191640 1200010 1214704 1251222 1285725 1345400 1371440 1412670 1429968 1440012 1459759 1469400 1489550 1518380 1548400 1594299 1614480 1668296 1714300 1787460 1800015 1822056 1822800 1883560 1897975 1920016 2018100 2057160 2085370 2125732 2234325 2260272 2277570 2322600 2353489 2354450 2383280 2400020 2502444 2571450 2657165 2690800 2825340 2880024 2919518 2938800 2979100 3000025 3036760 3128055 3188598 3336592 3428600 3531675 3574920 3600030 3644112 3720031 3767120 3795950 4036200 4114320 4170740 4251464 4379277 4468650 4555140 4645200 4706978 4708900 4800040 5004888 5142900 5213425 5314330 5650680 5693925 5760048 5839036 5958200 6000050 6073520 6256110 6377196 6857200 7060467 7063350 7149840 7200060 7298795 7440062 7591900 7971495 8072400 8341480 8502928 8758554 8937300 9000075 9110280 9413956 9417800 9600080 10009776 10285800 10426850 10628660 11160093 11301360 11387850 11678072 11767445 11916400 12000100 12512220 12754392 13285825 14120934 14126700 14400120 14597590 14880124 15183800 15640275 15942990 16474423 16682960 17517108 17874600 18000150 18220560 18600155 18827912 18835600 20571600 20853700 21257320 21896385 22320186 22775700 23356144 23534890 24000200 25024440 25508784 26571650 28241868 28253400 28800240 29195180 29760248 30367600 31280550 31885980 32948846 35034216 35302335 35749200 36000300 36493975 37200310 37655824 39857475 41707400 42514640 43792770 44640372 45551400 47069780 48000400 49423269 50048880 53143300 55800465 56483736 56506800 58390360 58837225 59520496 62561100 63771960 65897692 70068432 70604670 72000600 72987950 74400620 79714950 82372115 83414800 87585540 89280744 91102800 93000775 94139560 98846538 106286600 109481925 111600930 112967472 115320961 116780720 117674450 125122200 127543920 131795384 141209340 144001200 145975900 148801240 159429900 164744230 175171080 176511675 178561488 186001550 188279120 197693076 212573200 218963850 223201860 230641922 235348900 247116345 250244400 263590768 279002325 282418680 291951800 297602480 318859800 329488460 345962883 350342160 353023350 372003100 395386152 411860575 437927700 446403720 461283844 470697800 494232690 558004650 564837360 576604805 583903600 637719600 658976920 691925766 706046700 744006200 790772304 823721150 875855400 892807440 922567688 941395600 988465380 1116009300 1153209610 1235581725 1317953840 1383851532 1412093400 1488012400 1647442300 1729814415 1751710800 1845135376 1976930760 2232018600 2306419220 2471163450 2767703064 2824186800 2883024025 3294884600 3459628830 3953861520 4464037200 4612838440 4942326900 5535406128 5766048050 6589769200 6919257660 8649072075 9225676880 9884653800 11532096100 13838515320 17298144150 19769307600 23064192200 27677030640 34596288300 46128384400 69192576600 138385153200
- Sum of all divisors σ(n): 539601653760
- Sum of proper divisors (its aliquot sum) s(n): 401216500560
- 138385153200 is an abundant number, because the sum of its proper divisors (401216500560) is greater than itself. Its abundance is 262831347360
Bases of 138385153200
- Binary: 100000001110000110010111011100101100002
- Hexadecimal: 0x203865DCB0
- Base-36: 1RKMY3LC
Squares and roots of 138385153200
- 138385153200 squared (1383851532002) is 19150450626187470240000
- 138385153200 cubed (1383851532003) is 2650138043753989001082840768000000
-
The
square root of 138385153200 is 372001.5499967707 -
The
cube root of 138385153200 is 5172.4523631325
Scales and comparisons
How big is 138385153200?- 138,385,153,200 seconds is equal to 4,400 years, 11 weeks, 3 days, 20 minutes.
-
To count from 1 to 138,385,153,200 would take you about eight thousand, eight hundred 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 138385153200 cubic inches would be around 431 feet tall.
Recreational maths with 138385153200
- 138385153200 backwards is 002351583831
- The number of decimal digits it has is: 12
- The sum of 138385153200's digits is 39
- More coming soon!
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The information we have on file for 138385153200 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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