138541439680
138,541,439,680 is an even composite number composed of six prime numbers multiplied together.
What does the number 138541439680 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 336 divisors.
138541439680 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 138541439680:
26 × 5 × 72 × 19 × 149 × 3121
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 19 × 149 × 3121)See below for interesting mathematical facts about the number 138541439680 from the Numbermatics database.
Names of 138541439680
- Cardinal: 138541439680 can be written as One hundred thirty-eight billion, five hundred forty-one million, four hundred thirty-nine thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3854143968 × 1011
Factors of 138541439680
Divisors of 138541439680
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 49 56 64 70 76 80 95 98 112 133 140 149 152 160 190 196 224 245 266 280 298 304 320 380 392 448 490 532 560 596 608 665 745 760 784 931 980 1043 1064 1120 1192 1216 1330 1490 1520 1568 1862 1960 2086 2128 2240 2384 2660 2831 2980 3040 3121 3136 3724 3920 4172 4256 4655 4768 5215 5320 5662 5960 6080 6242 7301 7448 7840 8344 8512 9310 9536 10430 10640 11324 11920 12484 14155 14602 14896 15605 15680 16688 18620 19817 20860 21280 21847 22648 23840 24968 28310 29204 29792 31210 33376 36505 37240 39634 41720 42560 43694 45296 47680 49936 56620 58408 59299 59584 62420 66752 73010 74480 79268 83440 87388 90592 99085 99872 109235 113240 116816 118598 124840 138719 146020 148960 152929 158536 166880 174776 181184 198170 199744 218470 226480 233632 237196 249680 277438 292040 296495 297920 305858 317072 333760 349552 396340 415093 436940 452960 465029 467264 474392 499360 554876 584080 592990 611716 634144 693595 699104 764645 792680 830186 873880 905920 930058 948784 998720 1109752 1168160 1185980 1223432 1268288 1387190 1398208 1529290 1585360 1660372 1747760 1860116 1897568 2075465 2219504 2325145 2336320 2371960 2446864 2774380 2905651 3058580 3170720 3255203 3320744 3495520 3720232 3795136 4150930 4439008 4650290 4743920 4893728 5548760 5811302 6117160 6341440 6510406 6641488 6991040 7440464 8301860 8835551 8878016 9300580 9487840 9787456 11097520 11622604 12234320 13020812 13282976 14528255 14880928 16276015 16603720 17671102 18601160 18975680 22195040 22786421 23245208 24468640 26041624 26565952 29056510 29761856 32552030 33207440 35342204 37202320 44177755 44390080 45572842 46490416 48937280 52083248 58113020 61848857 65104060 66414880 70684408 74404640 88355510 91145684 92980832 104166496 113932105 116226040 123697714 130208120 132829760 141368816 148809280 176711020 182291368 185961664 208332992 227864210 232452080 247395428 260416240 282737632 309244285 353422040 364582736 432941999 455728420 464904160 494790856 520832480 565475264 618488570 706844080 729165472 865883998 911456840 929808320 989581712 1041664960 1236977140 1413688160 1458330944 1731767996 1822913680 1979163424 2164709995 2473954280 2827376320 3463535992 3645827360 3958326848 4329419990 4947908560 6927071984 7291654720 8658839980 9895817120 13854143968 17317679960 19791634240 27708287936 34635359920 69270719840 138541439680
- Sum of all divisors σ(n): 406802844000
- Sum of proper divisors (its aliquot sum) s(n): 268261404320
- 138541439680 is an abundant number, because the sum of its proper divisors (268261404320) is greater than itself. Its abundance is 129719964640
Bases of 138541439680
- Binary: 100000010000011011011010011010110000002
- Hexadecimal: 0x2041B69AC0
- Base-36: 1RN7ZV0G
Squares and roots of 138541439680
- 138541439680 squared (1385414396802) is 19193730508607078502400
- 138541439680 cubed (1385414396803) is 2659127057492363287161274335232000
-
The
square root of 138541439680 is 372211.5523193765 -
The
cube root of 138541439680 is 5174.3988153017
Scales and comparisons
How big is 138541439680?- 138,541,439,680 seconds is equal to 4,405 years, 9 weeks, 5 days, 21 hours, 14 minutes, 40 seconds.
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To count from 1 to 138,541,439,680 would take you about eight thousand, eight hundred ten 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 138541439680 cubic inches would be around 431.2 feet tall.
Recreational maths with 138541439680
- 138541439680 backwards is 086934145831
- The number of decimal digits it has is: 12
- The sum of 138541439680's digits is 52
- More coming soon!
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