138442813200
138,442,813,200 is an even composite number composed of five prime numbers multiplied together.
What does the number 138442813200 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 360 divisors.
138442813200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 138442813200:
24 × 33 × 52 × 312 × 13339
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 31 × 31 × 13339)See below for interesting mathematical facts about the number 138442813200 from the Numbermatics database.
Names of 138442813200
- Cardinal: 138442813200 can be written as One hundred thirty-eight billion, four hundred forty-two million, eight hundred thirteen thousand, two hundred.
Scientific notation
- Scientific notation: 1.384428132 × 1011
Factors of 138442813200
Divisors of 138442813200
- Number of divisors d(n): 360
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 31 36 40 45 48 50 54 60 62 72 75 80 90 93 100 108 120 124 135 144 150 155 180 186 200 216 225 240 248 270 279 300 310 360 372 400 432 450 465 496 540 558 600 620 675 720 744 775 837 900 930 961 1080 1116 1200 1240 1350 1395 1488 1550 1674 1800 1860 1922 2160 2232 2325 2480 2700 2790 2883 3100 3348 3600 3720 3844 4185 4464 4650 4805 5400 5580 5766 6200 6696 6975 7440 7688 8370 8649 9300 9610 10800 11160 11532 12400 13339 13392 13950 14415 15376 16740 17298 18600 19220 20925 22320 23064 24025 25947 26678 27900 28830 33480 34596 37200 38440 40017 41850 43245 46128 48050 51894 53356 55800 57660 66695 66960 69192 72075 76880 80034 83700 86490 96100 103788 106712 111600 115320 120051 129735 133390 138384 144150 160068 167400 172980 192200 200085 207576 213424 216225 230640 240102 259470 266780 288300 320136 333475 334800 345960 360153 384400 400170 413509 415152 432450 480204 518940 533560 576600 600255 640272 648675 666950 691920 720306 800340 827018 864900 960408 1000425 1037880 1067120 1153200 1200510 1240527 1297350 1333900 1440612 1600680 1654036 1729800 1800765 1920816 2000850 2067545 2075760 2401020 2481054 2594700 2667800 2881224 3001275 3201360 3308072 3459600 3601530 3721581 4001700 4135090 4802040 4962108 5189400 5335600 5762448 6002550 6202635 6616144 7203060 7443162 8003400 8270180 9003825 9604080 9924216 10337725 10378800 11164743 12005100 12405270 12818779 14406120 14886324 16006800 16540360 18007650 18607905 19848432 20675450 22329486 24010200 24810540 25637558 28812240 29772648 31013175 33080720 36015300 37215810 38456337 41350900 44658972 48020400 49621080 51275116 55823715 59545296 62026350 64093895 72030600 74431620 76912674 82701800 89317944 93039525 99242160 102550232 111647430 115369011 124052700 128187790 144061200 148863240 153825348 165403600 178635888 186079050 192281685 205100464 223294860 230738022 248105400 256375580 279118575 297726480 307650696 320469475 346107033 372158100 384563370 446589720 461476044 496210800 512751160 558237150 576845055 615301392 640938950 692214066 744316200 769126740 893179440 922952088 961408425 1025502320 1116474300 1153690110 1281877900 1384428132 1488632400 1538253480 1730535165 1845904176 1922816850 2232948600 2307380220 2563755800 2768856264 2884225275 3076506960 3461070330 3845633700 4465897200 4614760440 5127511600 5537712528 5768450550 6922140660 7691267400 8652675825 9229520880 11536901100 13844281320 15382534800 17305351650 23073802200 27688562640 34610703300 46147604400 69221406600 138442813200
- Sum of all divisors σ(n): 509200072800
- Sum of proper divisors (its aliquot sum) s(n): 370757259600
- 138442813200 is an abundant number, because the sum of its proper divisors (370757259600) is greater than itself. Its abundance is 232314446400
Bases of 138442813200
- Binary: 100000001110111101010110101111000100002
- Hexadecimal: 0x203BD5AF10
- Base-36: 1RLL9YC0
Squares and roots of 138442813200
- 138442813200 squared (1384428132002) is 19166412526730094240000
- 138442813200 cubed (1384428132003) is 2653452069152234443686715968000000
-
The
square root of 138442813200 is 372079.0416027219 -
The
cube root of 138442813200 is 5173.1706535549
Scales and comparisons
How big is 138442813200?- 138,442,813,200 seconds is equal to 4,402 years, 2 weeks, 5 days, 9 hours.
-
To count from 1 to 138,442,813,200 would take you about eight thousand, eight hundred 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 138442813200 cubic inches would be around 431.1 feet tall.
Recreational maths with 138442813200
- 138442813200 backwards is 002318244831
- 138442813200 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138442813200's digits is 36
- More coming soon!
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The information we have on file for 138442813200 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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