138329793688320
138,329,793,688,320 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138329793688320 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2592 divisors.
138329793688320 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, five hundred ninety-two divisors.
Prime factorization of 138329793688320:
28 × 35 × 5 × 132 × 19 × 43 × 3221
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 13 × 13 × 19 × 43 × 3221)See below for interesting mathematical facts about the number 138329793688320 from the Numbermatics database.
Names of 138329793688320
- Cardinal: 138329793688320 can be written as One hundred thirty-eight trillion, three hundred twenty-nine billion, seven hundred ninety-three million, six hundred eighty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3832979368832 × 1014
Factors of 138329793688320
Divisors of 138329793688320
- Number of divisors d(n): 2592
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 19 20 24 26 27 30 32 36 38 39 40 43 45 48 52 54 57 60 64 65 72 76 78 80 81 86 90 95 96 104 108 114 117 120 128 129 130 135 144 152 156 160 162 169 171 172 180 190 192 195 208 215 216 228 234 240 243 247 256 258 260 270 285 288 304 312 320 324 338 342 344 351 360 380 384 387 390 405 416 430 432 456 468 480 486 494 507 513 516 520 540 559 570 576 585 608 624 640 645 648 676 684 688 702 720 741 760 768 774 780 810 817 832 845 855 860 864 912 936 960 972 988 1014 1026 1032 1040 1053 1080 1118 1140 1152 1161 1170 1215 1216 1235 1248 1280 1290 1296 1352 1368 1376 1404 1440 1482 1520 1521 1539 1548 1560 1620 1634 1664 1677 1690 1710 1720 1728 1755 1824 1872 1920 1935 1944 1976 2028 2052 2064 2080 2106 2160 2223 2236 2280 2304 2322 2340 2430 2432 2451 2470 2496 2535 2565 2580 2592 2704 2736 2752 2795 2808 2880 2964 3040 3042 3078 3096 3120 3159 3211 3221 3240 3268 3328 3354 3380 3420 3440 3456 3483 3510 3648 3705 3744 3840 3870 3888 3952 4056 4085 4104 4128 4160 4212 4320 4446 4472 4560 4563 4617 4644 4680 4860 4864 4902 4940 4992 5031 5070 5130 5160 5184 5265 5408 5472 5504 5590 5616 5760 5805 5928 6080 6084 6156 6192 6240 6318 6422 6442 6480 6536 6669 6708 6760 6840 6880 6912 6966 7020 7267 7296 7353 7410 7488 7605 7695 7740 7776 7904 8112 8170 8208 8256 8320 8385 8424 8640 8892 8944 9120 9126 9234 9288 9360 9633 9663 9720 9804 9880 9984 10062 10140 10260 10320 10368 10449 10530 10621 10816 10944 11008 11115 11180 11232 11520 11610 11856 12160 12168 12255 12312 12384 12480 12636 12844 12884 12960 13072 13338 13416 13520 13680 13689 13760 13932 14040 14534 14592 14706 14820 14976 15093 15210 15390 15480 15552 15795 15808 16055 16105 16224 16340 16416 16512 16640 16770 16848 17280 17415 17784 17888 18240 18252 18468 18576 18720 19266 19326 19440 19608 19760 20007 20124 20280 20520 20640 20736 20898 21060 21242 21632 21801 21888 22059 22230 22360 22464 22815 23085 23220 23712 24320 24336 24510 24624 24768 24960 25155 25272 25688 25768 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81851948928 82486460160 83130885630 84657156480 85388761536 88672944672 89360331840 89882906880 90946609920 91006443216 93339941760 96062356728 98525494080 100530373320 101118270240 102314936160 106735951920 107232398208 108070151319 110841180840 112007930112 113758054020 113851682048 118230592896 119147109120 120077945910 121341924288 123729690240 128083142304 131367325440 133009417008 134040497760 134824360320 136419914880 140009912640 142314602560 144093535092 147788241120 151677405360 160103927880 160848597312 161789232384 163703897856 166261771260 169314312960 170777523072 177345889344 178720663680 180116918865 182012886432 186679883520 192124713456 197050988160 201060746640 202236540480 204629872320 213471903840 214464796416 216140302638 221682361680 227516108040 236461185792 240155891820 242683848576 247459380480 256166284608 266018834016 268080995520 269648720640 272839829760 280019825280 284629205120 288187070184 295576482240 303354810720 320207855760 321697194624 332523542520 341555046144 354691778688 357441327360 360233837730 364025772864 384249426912 394101976320 402121493280 404473080960 409259744640 426943807680 432280605276 443364723360 455032216080 480311783640 485367697152 512332569216 532037668032 536161991040 540350756595 560039650560 569258410240 576374140368 591152964480 606709621440 640415711520 643394389248 665047085040 709383557376 720467675460 728051545728 768498853824 804242986560 808946161920 818519489280 853887615360 864561210552 886729446720 910064432160 960623567280 1024665138432 1064075336064 1072323982080 1080701513190 1152748280736 1182305928960 1213419242880 1280831423040 1330094170080 1440935350920 1456103091456 1536997707648 1608485973120 1707775230720 1729122421104 1773458893440 1820128864320 1921247134560 2128150672128 2161403026380 2305496561472 2426838485760 2561662846080 2660188340160 2881870701840 3073995415296 3216971946240 3458244842208 3546917786880 3640257728640 3842494269120 4322806052760 4610993122944 5123325692160 5320376680320 5763741403680 6916489684416 7280515457280 7684988538240 8645612105520 9221986245888 10640753360640 11527482807360 13832979368832 15369977076480 17291224211040 23054965614720 27665958737664 34582448422080 46109931229440 69164896844160 138329793688320
- Sum of all divisors σ(n): 579072354981120
- Sum of proper divisors (its aliquot sum) s(n): 440742561292800
- 138329793688320 is an abundant number, because the sum of its proper divisors (440742561292800) is greater than itself. Its abundance is 302412767604480
Bases of 138329793688320
- Binary: 111110111001111011010100011011011110011000000002
- Hexadecimal: 0x7DCF6A36F300
- Base-36: 1D17TVLC00
Squares and roots of 138329793688320
- 138329793688320 squared (1383297936883202) is 19135131821853175709304422400
- 138329793688320 cubed (1383297936883203) is 2646958837115756607878686828804983226368000
-
The
square root of 138329793688320 is 11761368.6996165545 -
The
cube root of 138329793688320 is 51717.6254291719
Scales and comparisons
How big is 138329793688320?- 138,329,793,688,320 seconds is equal to 4,398,459 years, 28 weeks, 6 days, 19 hours, 12 minutes.
-
To count from 1 to 138,329,793,688,320 would take you about ten million, nine hundred ninety-six thousand, one hundred forty-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 138329793688320 cubic inches would be around 4309.8 feet tall.
Recreational maths with 138329793688320
- 138329793688320 backwards is 023886397923831
- 138329793688320 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138329793688320's digits is 72
- More coming soon!
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"Number 138329793688320 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
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Numbermatics. (2024). Number 138329793688320 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/138329793688320/
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The information we have on file for 138329793688320 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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