138386938145280
138,386,938,145,280 is an even composite number composed of seven prime numbers multiplied together.
138386938145280 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, four hundred divisors.
Prime factorization of 138386938145280:
29 × 3 × 5 × 114 × 29 × 31 × 372
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 11 × 11 × 11 × 29 × 31 × 37 × 37)See below for interesting mathematical facts about the number 138386938145280 from the Numbermatics database.
Names of 138386938145280
- Cardinal: 138386938145280 can be written as One hundred thirty-eight trillion, three hundred eighty-six billion, nine hundred thirty-eight million, one hundred forty-five thousand, two hundred eighty.
Scientific notation
- Scientific notation: 1.3838693814528 × 1014
Factors of 138386938145280
Divisors of 138386938145280
- Number of divisors d(n): 2400
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 29 30 31 32 33 37 40 44 48 55 58 60 62 64 66 74 80 87 88 93 96 110 111 116 120 121 124 128 132 145 148 155 160 165 174 176 185 186 192 220 222 232 240 242 248 256 264 290 296 310 319 320 330 341 348 352 363 370 372 384 407 435 440 444 464 465 480 484 496 512 528 555 580 592 605 620 638 640 660 682 696 704 726 740 744 768 814 870 880 888 899 928 930 957 960 968 992 1023 1056 1073 1110 1147 1160 1184 1210 1221 1240 1276 1280 1320 1331 1364 1369 1392 1408 1452 1480 1488 1536 1595 1628 1705 1740 1760 1776 1798 1815 1856 1860 1914 1920 1936 1984 2035 2046 2112 2146 2220 2294 2320 2368 2420 2442 2480 2552 2560 2640 2662 2697 2728 2738 2784 2816 2904 2960 2976 3190 3219 3256 3410 3441 3480 3509 3520 3552 3596 3630 3712 3720 3751 3828 3840 3872 3968 3993 4070 4092 4107 4224 4292 4440 4477 4495 4588 4640 4736 4785 4840 4884 4960 5104 5115 5280 5324 5365 5394 5456 5476 5568 5632 5735 5808 5920 5952 6105 6380 6438 6512 6655 6820 6845 6882 6960 7018 7040 7104 7192 7260 7424 7440 7502 7656 7680 7744 7936 7986 8140 8184 8214 8448 8584 8880 8954 8990 9176 9280 9472 9570 9680 9768 9889 9920 10208 10230 10527 10560 10648 10730 10788 10912 10952 11136 11253 11470 11616 11803 11840 11904 12210 12617 12760 12876 13024 13310 13431 13485 13640 13690 13764 13920 14036 14080 14208 14384 14520 14641 14848 14880 15004 15059 15312 15488 15872 15972 16095 16280 16368 16428 16896 17168 17205 17545 17760 17908 17980 18352 18560 18755 18944 19140 19360 19536 19778 19840 19965 20416 20460 20535 21054 21120 21296 21460 21576 21824 21904 22272 22385 22506 22940 23232 23606 23680 23808 24420 25234 25520 25752 26048 26620 26862 26970 27280 27380 27528 27840 28072 28160 28416 28768 29040 29282 29667 29760 30008 30118 30624 30976 31944 32190 32560 32736 32856 33263 34336 34410 35090 35409 35520 35816 35960 36704 37120 37510 37851 38280 38599 38720 39072 39556 39680 39701 39930 40832 40920 41070 41261 42108 42240 42439 42592 42920 43152 43648 43808 43923 44544 44770 45012 45177 45880 46464 47212 47360 47616 48840 49247 49445 50468 51040 51504 52096 52635 53240 53724 53940 54560 54760 55056 55680 56144 56265 56832 57536 58080 58564 59015 59334 59520 60016 60236 61248 61952 63085 63888 64380 65120 65472 65712 66526 67155 68672 68820 70180 70818 71040 71632 71920 73205 73408 74240 75020 75295 75702 76560 77198 77440 78144 79112 79360 79402 79860 81664 81840 82140 82522 84216 84480 84878 85184 85840 86304 87296 87616 87846 89540 90024 90354 91760 92928 94424 94720 97680 98494 98890 99789 100936 102080 103008 104192 105270 106480 107448 107880 108779 109120 109520 110112 111360 112288 112530 115072 115797 116160 117128 118030 118668 119040 119103 120032 120472 122496 123783 126170 127317 127776 128760 129833 130240 130944 131424 133052 134310 137344 137640 138787 140360 141636 142080 143264 143840 146410 146816 147741 148335 150040 150590 151404 153120 154396 154880 156288 158224 158804 159720 163328 163680 164280 165044 165649 166315 168432 169756 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1081147954260 1116023694720 1143693703680 1153224484544 1192990846080 1246729172480 1258063074048 1441530605680 1488031592960 1572578842560 1590654461440 1729836726816 1870093758720 2096771790080 2162295908520 2232047389440 2306448969088 2385981692160 2516126148096 2883061211360 3145157685120 3459673453632 3740187517440 4193543580160 4324591817040 4464094778880 4612897938176 4771963384320 5766122422720 6290315370240 6919346907264 8649183634080 9225795876352 11532244845440 12580630740480 13838693814528 17298367268160 23064489690880 27677387629056 34596734536320 46128979381760 69193469072640 138386938145280
- Sum of all divisors σ(n): 534088141171200
- Sum of proper divisors (its aliquot sum) s(n): 395701203025920
- 138386938145280 is an abundant number, because the sum of its proper divisors (395701203025920) is greater than itself. Its abundance is 257314264880640
Bases of 138386938145280
- Binary: 111110111011100101110000100101000101010000000002
- Hexadecimal: 0x7DDCB84A2A00
- Base-36: 1D1Y2XXD6O
Squares and roots of 138386938145280
- 138386938145280 squared (1383869381452802) is 19150944649225552726386278400
- 138386938145280 cubed (1383869381452803) is 2650240592596057551801637173080937725952000
-
The
square root of 138386938145280 is 11763797.7773030423 -
The
cube root of 138386938145280 is 51724.7460180119
Scales and comparisons
How big is 138386938145280?- 138,386,938,145,280 seconds is equal to 4,400,276 years, 29 weeks, 5 days, 23 hours, 28 minutes.
-
To count from 1 to 138,386,938,145,280 would take you about eleven million, six hundred ninety-one 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 138386938145280 cubic inches would be around 4310.4 feet tall.
Recreational maths with 138386938145280
- 138386938145280 backwards is 082541839683831
- The number of decimal digits it has is: 15
- The sum of 138386938145280's digits is 69
- More coming soon!
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"Number 138386938145280 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
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Numbermatics. (2024). Number 138386938145280 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/138386938145280/
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The information we have on file for 138386938145280 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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