138325532167680
138,325,532,167,680 is an even composite number composed of nine prime numbers multiplied together.
What does the number 138325532167680 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 2560 divisors.
138325532167680 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of two thousand, five hundred sixty divisors.
Prime factorization of 138325532167680:
29 × 3 × 5 × 11 × 13 × 19 × 61 × 109 × 997
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 13 × 19 × 61 × 109 × 997)See below for interesting mathematical facts about the number 138325532167680 from the Numbermatics database.
Names of 138325532167680
- Cardinal: 138325532167680 can be written as One hundred thirty-eight trillion, three hundred twenty-five billion, five hundred thirty-two million, one hundred sixty-seven thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3832553216768 × 1014
Factors of 138325532167680
Divisors of 138325532167680
- Number of divisors d(n): 2560
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 19 20 22 24 26 30 32 33 38 39 40 44 48 52 55 57 60 61 64 65 66 76 78 80 88 95 96 104 109 110 114 120 122 128 130 132 143 152 156 160 165 176 183 190 192 195 208 209 218 220 228 240 244 247 256 260 264 285 286 304 305 312 320 327 330 352 366 380 384 390 416 418 429 436 440 456 480 488 494 512 520 528 545 570 572 608 610 624 627 640 654 660 671 704 715 732 741 760 768 780 793 832 836 858 872 880 912 915 960 976 988 997 1040 1045 1056 1090 1140 1144 1159 1199 1216 1220 1235 1248 1254 1280 1308 1320 1342 1408 1417 1430 1464 1482 1520 1536 1560 1586 1635 1664 1672 1716 1744 1760 1824 1830 1920 1952 1976 1994 2013 2071 2080 2090 2112 2145 2180 2280 2288 2318 2379 2398 2432 2440 2470 2496 2508 2560 2616 2640 2684 2717 2816 2834 2860 2928 2964 2991 3040 3120 3135 3172 3270 3328 3344 3355 3432 3477 3488 3520 3597 3648 3660 3705 3840 3904 3952 3965 3988 4026 4142 4160 4180 4224 4251 4290 4360 4560 4576 4636 4758 4796 4864 4880 4940 4985 4992 5016 5232 5280 5368 5434 5632 5668 5720 5795 5856 5928 5982 5995 6080 6213 6240 6270 6344 6540 6649 6656 6688 6710 6864 6954 6976 7040 7085 7194 7296 7320 7410 7680 7808 7904 7930 7976 8052 8151 8284 8320 8360 8448 8502 8580 8720 8723 9120 9152 9272 9516 9592 9728 9760 9880 9970 9984 10032 10065 10355 10464 10560 10736 10868 10967 11336 11440 11590 11712 11856 11895 11964 11990 12160 12426 12480 12540 12688 12749 12961 13080 13298 13376 13420 13585 13728 13908 13952 14080 14170 14388 14592 14640 14820 14955 15067 15587 15616 15808 15860 15952 16104 16302 16568 16640 16720 16896 17004 17160 17385 17440 17446 17985 18240 18304 18544 18943 19032 19184 19520 19760 19940 19947 19968 20064 20130 20710 20928 21120 21255 21472 21736 21934 22672 22781 22880 23180 23424 23712 23790 23928 23980 24320 24852 24960 25080 25376 25498 25922 26160 26169 26596 26752 26840 26923 27170 27456 27816 27904 28160 28340 28776 29184 29280 29640 29910 30134 31065 31174 31232 31616 31720 31904 32208 32604 32901 33136 33245 33280 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93337066240 94484653120 96731141376 97618583040 98242565460 103074167040 104792069824 105753464960 108066822006 110307441920 110837766160 112004479488 113381583744 113754549480 115367416320 119349035520 120913926720 121338186112 126904157952 130990087280 132368930304 133005319392 138741757440 140005599360 141726979680 144089096008 151175444992 151672732640 157188104736 158630197440 161218568960 165461162880 166256649240 174433205760 177340425856 180111370010 182007279168 186674132480 188969306240 193462282752 196485130920 206148334080 209584139648 211506929920 216133644012 220614883840 221675532320 226763167488 227509098960 241827853440 242676372224 253808315904 261980174560 266010638784 270167055015 280011198720 283453959360 288178192016 303345465280 314376209472 317260394880 322437137920 330922325760 332513298480 354680851712 360222740020 364014558336 377938612480 392970261840 419168279296 423013859840 432267288024 443351064640 453526334976 455018197920 483655706880 485352744448 523960349120 532021277568 540334110030 560022397440 566907918720 576356384032 606690930560 628752418944 634520789760 661844651520 665026596960 709361703424 720445480040 728029116672 755877224960 785940523680 838336558592 864534576048 886702129280 910036395840 967311413760 1047920698240 1064042555136 1080668220060 1133815837440 1152712768064 1213381861120 1257504837888 1269041579520 1330053193920 1440890960080 1456058233344 1571881047360 1729069152096 1773404258560 1820072791680 2095841396480 2128085110272 2161336440120 2267631674880 2305425536128 2426763722240 2515009675776 2660106387840 2881781920160 3143762094720 3458138304192 3546808517120 3640145583360 4191682792960 4322672880240 4610851072256 5320212775680 5763563840320 6287524189440 6916276608384 7280291166720 8645345760480 9221702144512 10640425551360 11527127680640 12575048378880 13832553216768 17290691520960 23054255361280 27665106433536 34581383041920 46108510722560 69162766083840 138325532167680
- Sum of all divisors σ(n): 561488762419200
- Sum of proper divisors (its aliquot sum) s(n): 423163230251520
- 138325532167680 is an abundant number, because the sum of its proper divisors (423163230251520) is greater than itself. Its abundance is 284837698083840
Bases of 138325532167680
- Binary: 111110111001110011011000011010101001110000000002
- Hexadecimal: 0x7DCE6C354E00
- Base-36: 1D15VEE5MO
Squares and roots of 138325532167680
- 138325532167680 squared (1383255321676802) is 19133952849471874439636582400
- 138325532167680 cubed (1383255321676803) is 2646714210374494164699376053180098936832000
-
The
square root of 138325532167680 is 11761187.5322043905 -
The
cube root of 138325532167680 is 51717.0943360847
Scales and comparisons
How big is 138325532167680?- 138,325,532,167,680 seconds is equal to 4,398,324 years, 2 weeks, 5 days, 15 hours, 28 minutes.
-
To count from 1 to 138,325,532,167,680 would take you about ten million, nine hundred ninety-five 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 138325532167680 cubic inches would be around 4309.8 feet tall.
Recreational maths with 138325532167680
- 138325532167680 backwards is 086761235523831
- 138325532167680 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138325532167680's digits is 60
- More coming soon!
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"Number 138325532167680 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
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Numbermatics. (2024). Number 138325532167680 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/138325532167680/
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The information we have on file for 138325532167680 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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