138039316200
138,039,316,200 is an even composite number composed of six prime numbers multiplied together.
138039316200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 138039316200:
23 × 32 × 52 × 23 × 532 × 1187
(2 × 2 × 2 × 3 × 3 × 5 × 5 × 23 × 53 × 53 × 1187)See below for interesting mathematical facts about the number 138039316200 from the Numbermatics database.
Names of 138039316200
- Cardinal: 138039316200 can be written as One hundred thirty-eight billion, thirty-nine million, three hundred sixteen thousand, two hundred.
Scientific notation
- Scientific notation: 1.380393162 × 1011
Factors of 138039316200
Divisors of 138039316200
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 25 30 36 40 45 46 50 53 60 69 72 75 90 92 100 106 115 120 138 150 159 180 184 200 207 212 225 230 265 276 300 318 345 360 414 424 450 460 477 530 552 575 600 636 690 795 828 900 920 954 1035 1060 1150 1187 1219 1272 1325 1380 1590 1656 1725 1800 1908 2070 2120 2300 2374 2385 2438 2650 2760 2809 3180 3450 3561 3657 3816 3975 4140 4600 4748 4770 4876 5175 5300 5618 5935 6095 6360 6900 7122 7314 7950 8280 8427 9496 9540 9752 10350 10600 10683 10971 11236 11870 11925 12190 13800 14045 14244 14628 15900 16854 17805 18285 19080 20700 21366 21942 22472 23740 23850 24380 25281 27301 28090 28488 29256 29675 30475 31800 33708 35610 36570 41400 42135 42732 43884 47480 47700 48760 50562 53415 54602 54855 56180 59350 60950 62911 64607 67416 70225 71220 73140 81903 84270 85464 87768 89025 91425 95400 101124 106830 109204 109710 112360 118700 121900 125822 126405 129214 136505 140450 142440 146280 163806 168540 178050 182850 188733 193821 202248 210675 213660 218408 219420 237400 243800 245709 251644 252810 258428 267075 273010 274275 280900 314555 323035 327612 337080 356100 365700 377466 387642 409515 421350 427320 438840 491418 503288 505620 516856 534150 546020 548550 561800 566199 581463 629110 632025 646070 655224 682525 712200 731400 754932 775284 819030 842700 943665 969105 982836 1011240 1068300 1092040 1097100 1132398 1162926 1228545 1258220 1264050 1292140 1365050 1446953 1509864 1550568 1572775 1615175 1638060 1685400 1887330 1938210 1965672 2047575 2136600 2194200 2264796 2325852 2457090 2516440 2528100 2584280 2730100 2830995 2893906 2907315 3145550 3230350 3276120 3334283 3774660 3876420 4095150 4340859 4529592 4651704 4718325 4845525 4914180 5056200 5460200 5661990 5787812 5814630 6142725 6291100 6460700 6668566 7234765 7549320 7752840 8190300 8681718 9436650 9691050 9828360 10002849 11323980 11575624 11629260 12285450 12582200 12921400 13022577 13337132 14154975 14469530 14536575 16380600 16671415 17363436 18873300 19382100 20005698 21704295 22647960 23258520 24570900 26045154 26674264 28309950 28939060 29073150 30008547 33342830 34726872 36173825 37746600 38764200 40011396 43408590 49141800 50014245 52090308 56619900 57878120 58146300 60017094 65112885 66685660 72347650 76688509 80022792 83357075 86817180 100028490 104180616 108521475 113239800 116292600 120034188 130225770 133371320 144695300 150042735 153377018 166714150 173634360 200056980 217042950 230065527 240068376 250071225 260451540 289390600 300085470 306754036 325564425 333428300 383442545 400113960 434085900 460131054 500142450 520903080 600170940 613508072 651128850 666856600 690196581 750213675 766885090 868171800 920262108 1000284900 1150327635 1200341880 1302257700 1380393162 1500427350 1533770180 1840524216 1917212725 2000569800 2300655270 2604515400 2760786324 3000854700 3067540360 3450982905 3834425450 4601310540 5521572648 5751638175 6001709400 6901965810 7668850900 9202621080 11503276350 13803931620 15337701800 17254914525 23006552700 27607863240 34509829050 46013105400 69019658100 138039316200
- Sum of all divisors σ(n): 493452479520
- Sum of proper divisors (its aliquot sum) s(n): 355413163320
- 138039316200 is an abundant number, because the sum of its proper divisors (355413163320) is greater than itself. Its abundance is 217373847120
Bases of 138039316200
- Binary: 100000001000111100100011001110111010002
- Hexadecimal: 0x2023C8CEE8
- Base-36: 1REX1M20
Squares and roots of 138039316200
- 138039316200 squared (1380393162002) is 19054852816963582440000
- 138039316200 cubed (1380393162003) is 2630318853145296680319927528000000
-
The
square root of 138039316200 is 371536.4264779431 -
The
cube root of 138039316200 is 5168.1399601897
Scales and comparisons
How big is 138039316200?- 138,039,316,200 seconds is equal to 4,389 years, 11 weeks, 4 days, 6 hours, 30 minutes.
-
To count from 1 to 138,039,316,200 would take you about eight thousand, seven hundred seventy-eight 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 138039316200 cubic inches would be around 430.7 feet tall.
Recreational maths with 138039316200
- 138039316200 backwards is 002613930831
- 138039316200 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138039316200's digits is 36
- More coming soon!
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