138351230668800
138,351,230,668,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 138351230668800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2340 divisors.
138351230668800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, three hundred forty divisors.
Prime factorization of 138351230668800:
212 × 34 × 52 × 17 × 312 × 1021
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 17 × 31 × 31 × 1021)See below for interesting mathematical facts about the number 138351230668800 from the Numbermatics database.
Names of 138351230668800
- Cardinal: 138351230668800 can be written as One hundred thirty-eight trillion, three hundred fifty-one billion, two hundred thirty million, six hundred sixty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.383512306688 × 1014
Factors of 138351230668800
Divisors of 138351230668800
- Number of divisors d(n): 2340
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 30 31 32 34 36 40 45 48 50 51 54 60 62 64 68 72 75 80 81 85 90 93 96 100 102 108 120 124 128 135 136 144 150 153 155 160 162 170 180 186 192 200 204 216 225 240 248 255 256 270 272 279 288 300 306 310 320 324 340 360 372 384 400 405 408 425 432 450 459 465 480 496 510 512 527 540 544 558 576 600 612 620 640 648 675 680 720 744 765 768 775 800 810 816 837 850 864 900 918 930 960 961 992 1020 1021 1024 1054 1080 1088 1116 1152 1200 1224 1240 1275 1280 1296 1350 1360 1377 1395 1440 1488 1530 1536 1550 1581 1600 1620 1632 1674 1700 1728 1800 1836 1860 1920 1922 1984 2025 2040 2042 2048 2108 2160 2176 2232 2295 2304 2325 2400 2448 2480 2511 2550 2560 2592 2635 2700 2720 2754 2790 2880 2883 2976 3060 3063 3072 3100 3162 3200 3240 3264 3348 3400 3456 3600 3672 3720 3825 3840 3844 3968 4050 4080 4084 4096 4185 4216 4320 4352 4464 4590 4608 4650 4743 4800 4805 4896 4960 5022 5100 5105 5120 5184 5270 5400 5440 5508 5580 5760 5766 5952 6120 6126 6144 6200 6324 6400 6480 6528 6696 6800 6885 6912 6975 7200 7344 7440 7650 7680 7688 7905 7936 8100 8160 8168 8370 8432 8640 8649 8704 8928 9180 9189 9216 9300 9486 9600 9610 9792 9920 10044 10200 10210 10240 10368 10540 10800 10880 11016 11160 11475 11520 11532 11904 12240 12252 12288 12400 12555 12648 12800 12960 13056 13175 13392 13600 13770 13824 13950 14229 14400 14415 14688 14880 15300 15315 15360 15376 15810 15872 16200 16320 16336 16337 16740 16864 17280 17298 17357 17408 17856 18360 18378 18432 18600 18972 19200 19220 19584 19840 20088 20400 20420 20480 20736 20925 21080 21600 21760 22032 22320 22950 23040 23064 23715 23808 24025 24480 24504 24800 25110 25296 25525 25600 25920 25947 26112 26350 26784 27200 27540 27567 27648 27900 28458 28800 28830 29376 29760 30600 30630 30720 30752 31620 31651 31744 32400 32640 32672 32674 33480 33728 34425 34560 34596 34714 34816 35712 36720 36756 36864 37200 37944 38400 38440 39168 39525 39680 40176 40800 40840 41472 41850 42160 42687 43200 43245 43520 44064 44640 45900 45945 46080 46128 47430 47616 48050 48960 49008 49011 49600 50220 50592 51050 51200 51840 51894 52071 52224 52700 53568 54400 55080 55134 55296 55800 56916 57600 57660 58752 59520 61200 61260 61440 61504 62775 63240 63302 63488 64800 65280 65344 65348 66960 67456 68850 69120 69192 69428 69632 71145 71424 72075 73440 73512 74400 75888 76575 76800 76880 77841 78336 79050 79360 80352 81600 81680 81685 82701 82944 83700 84320 85374 86400 86490 86785 87040 88128 89280 91800 91890 92160 92256 94860 94953 95232 96100 97920 98016 98022 99200 100440 101184 102100 102400 103680 103788 104142 104448 105400 107136 108800 110160 110268 110592 111600 113832 115200 115320 117504 118575 119040 122400 122520 123008 125550 126480 126604 126976 129600 129735 130560 130688 130696 133920 134912 137700 137835 138240 138384 138856 142290 142848 144150 146880 147024 147033 148800 151776 153150 153600 153760 155682 156213 156672 158100 158255 158720 160704 163200 163360 163370 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371911910400 384308974080 406915384320 427009971200 432347595840 446294292480 452128204800 461170768896 480386217600 495882547200 508644230400 512411965440 540434494800 542553845760 557867865600 576463461120 614894358528 640514956800 678192307200 691756153344 720579326400 743823820800 768617948160 813830768640 854019942400 864695191680 892588584960 904256409600 922341537792 960772435200 1017288460800 1024823930880 1080868989600 1115735731200 1152926922240 1281029913600 1356384614400 1383512306688 1441158652800 1487647641600 1537235896320 1627661537280 1708039884800 1729390383360 1844683075584 1921544870400 2034576921600 2161737979200 2231471462400 2305853844480 2562059827200 2712769228800 2767024613376 2882317305600 3074471792640 3458780766720 3843089740800 4069153843200 4323475958400 4462942924800 4611707688960 5124119654400 5534049226752 5764634611200 6917561533440 7686179481600 8138307686400 8646951916800 9223415377920 11529269222400 13835123066880 15372358963200 17293903833600 23058538444800 27670246133760 34587807667200 46117076889600 69175615334400 138351230668800
- Sum of all divisors σ(n): 561250368919548
- Sum of proper divisors (its aliquot sum) s(n): 422899138250748
- 138351230668800 is an abundant number, because the sum of its proper divisors (422899138250748) is greater than itself. Its abundance is 284547907581948
Bases of 138351230668800
- Binary: 111110111010100011001111111010101010000000000002
- Hexadecimal: 0x7DD467F55000
- Base-36: 1D1HOEM800
Squares and roots of 138351230668800
- 138351230668800 squared (1383512306688002) is 19141063027571505695293440000
- 138351230668800 cubed (1383512306688003) is 2648189626173584678735675643943452672000000
-
The
square root of 138351230668800 is 11762279.9944908641 -
The
cube root of 138351230668800 is 51720.2968528563
Scales and comparisons
How big is 138351230668800?- 138,351,230,668,800 seconds is equal to 4,399,141 years, 9 weeks, 5 days.
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To count from 1 to 138,351,230,668,800 would take you about ten million, nine hundred ninety-seven thousand, eight hundred fifty-two 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 138351230668800 cubic inches would be around 4310 feet tall.
Recreational maths with 138351230668800
- 138351230668800 backwards is 008866032153831
- 138351230668800 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138351230668800's digits is 54
- More coming soon!
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The information we have on file for 138351230668800 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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