138830608400
138,830,608,400 is an even composite number composed of six prime numbers multiplied together.
138830608400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 138830608400:
24 × 52 × 112 × 41 × 43 × 1627
(2 × 2 × 2 × 2 × 5 × 5 × 11 × 11 × 41 × 43 × 1627)See below for interesting mathematical facts about the number 138830608400 from the Numbermatics database.
Names of 138830608400
- Cardinal: 138830608400 can be written as One hundred thirty-eight billion, eight hundred thirty million, six hundred eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.388306084 × 1011
Factors of 138830608400
Divisors of 138830608400
- Number of divisors d(n): 360
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 40 41 43 44 50 55 80 82 86 88 100 110 121 164 172 176 200 205 215 220 242 275 328 344 400 410 430 440 451 473 484 550 605 656 688 820 860 880 902 946 968 1025 1075 1100 1210 1627 1640 1720 1763 1804 1892 1936 2050 2150 2200 2255 2365 2420 3025 3254 3280 3440 3526 3608 3784 4100 4300 4400 4510 4730 4840 4961 5203 6050 6508 7052 7216 7568 8135 8200 8600 8815 9020 9460 9680 9922 10406 11275 11825 12100 13016 14104 16270 16400 17200 17630 17897 18040 18920 19393 19844 20812 22550 23650 24200 24805 26015 26032 28208 32540 35260 35794 36080 37840 38786 39688 40675 41624 44075 45100 47300 48400 49610 52030 65080 66707 69961 70520 71588 77572 79376 81350 83248 88150 89485 90200 94600 96965 99220 104060 124025 130075 130160 133414 139922 141040 143176 155144 162700 176300 178970 180400 189200 193930 196867 198440 208120 213323 248050 260150 266828 279844 286352 310288 325400 333535 349805 352600 357940 387860 393734 396880 416240 426646 447425 484825 496100 520300 533656 559688 650800 667070 699610 705200 715880 733777 769571 775720 787468 853292 894850 969650 984335 992200 1040600 1066615 1067312 1119376 1334140 1399220 1431760 1467554 1539142 1551440 1574936 1667675 1706584 1749025 1789700 1939300 1968670 1984400 2081200 2133230 2668280 2798440 2868401 2935108 3078284 3149872 3335350 3413168 3498050 3579400 3668885 3847855 3878600 3937340 4266460 4921675 5333075 5336560 5596880 5736802 5870216 6156568 6670700 6996100 7158800 7337770 7695710 7757200 7874680 8071547 8465281 8532920 9843350 10666150 11473604 11740432 12313136 13341400 13992200 14342005 14675540 15391420 15749360 16143094 16930562 17065840 18344425 19239275 19686700 21332300 22947208 26682800 27984400 28684010 29351080 30782840 31552411 32286188 33861124 36688850 38478550 39373400 40357735 42326405 42664600 45894416 57368020 58702160 61565680 63104822 64572376 67722248 71710025 73377700 76957100 78746800 80715470 84652810 85329200 114736040 126209644 129144752 135444496 143420050 146755400 153914200 157762055 161430940 169305620 201788675 211632025 229472080 252419288 286840100 293510800 307828400 315524110 322861880 338611240 347076521 403577350 423264050 504838576 573680200 631048220 645723760 677222480 694153042 788810275 807154700 846528100 1147360400 1262096440 1388306084 1577620550 1614309400 1693056200 1735382605 2524192880 2776612168 3155241100 3228618800 3386112400 3470765210 5553224336 6310482200 6941530420 8676913025 12620964400 13883060840 17353826050 27766121680 34707652100 69415304200 138830608400
- Sum of all divisors σ(n): 384531034272
- Sum of proper divisors (its aliquot sum) s(n): 245700425872
- 138830608400 is an abundant number, because the sum of its proper divisors (245700425872) is greater than itself. Its abundance is 106869817472
Bases of 138830608400
- Binary: 100000010100101111001011111000000100002
- Hexadecimal: 0x2052F2F810
- Base-36: 1RS05R0W
Squares and roots of 138830608400
- 138830608400 squared (1388306084002) is 19273937828714150560000
- 138830608400 cubed (1388306084003) is 2675812515024160511934000704000000
-
The
square root of 138830608400 is 372599.7965646251 -
The
cube root of 138830608400 is 5177.9963777955
Scales and comparisons
How big is 138830608400?- 138,830,608,400 seconds is equal to 4,414 years, 19 weeks, 6 days, 17 hours, 53 minutes, 20 seconds.
-
To count from 1 to 138,830,608,400 would take you about eight thousand, eight hundred twenty-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 138830608400 cubic inches would be around 431.5 feet tall.
Recreational maths with 138830608400
- 138830608400 backwards is 004806038831
- 138830608400 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138830608400's digits is 41
- More coming soon!
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