138022640601300
138,022,640,601,300 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138022640601300 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2700 divisors.
138022640601300 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, seven hundred divisors.
Prime factorization of 138022640601300:
22 × 34 × 52 × 74 × 13 × 172 × 1889
(2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 7 × 7 × 13 × 17 × 17 × 1889)See below for interesting mathematical facts about the number 138022640601300 from the Numbermatics database.
Names of 138022640601300
- Cardinal: 138022640601300 can be written as One hundred thirty-eight trillion, twenty-two billion, six hundred forty million, six hundred one thousand, three hundred.
Scientific notation
- Scientific notation: 1.380226406013 × 1014
Factors of 138022640601300
Divisors of 138022640601300
- Number of divisors d(n): 2700
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Complete list of divisors:
1 2 3 4 5 6 7 9 10 12 13 14 15 17 18 20 21 25 26 27 28 30 34 35 36 39 42 45 49 50 51 52 54 60 63 65 68 70 75 78 81 84 85 90 91 98 100 102 105 108 117 119 126 130 135 140 147 150 153 156 162 170 175 180 182 189 195 196 204 210 221 225 234 238 245 252 255 260 270 273 289 294 300 306 315 324 325 340 343 350 351 357 364 378 390 405 420 425 441 442 450 455 459 468 476 490 510 525 540 546 567 578 585 588 595 612 630 637 650 663 675 686 700 702 714 735 756 765 780 810 819 833 850 867 882 884 900 910 918 945 975 980 1020 1029 1050 1053 1071 1092 1105 1134 1156 1170 1190 1225 1260 1274 1275 1300 1323 1326 1350 1365 1372 1377 1404 1428 1445 1470 1530 1547 1575 1620 1638 1666 1700 1715 1734 1755 1764 1785 1820 1836 1889 1890 1911 1950 1989 2023 2025 2058 2100 2106 2142 2205 2210 2268 2275 2295 2340 2380 2401 2450 2457 2499 2548 2550 2601 2646 2652 2700 2730 2754 2835 2890 2925 2940 2975 3060 3087 3094 3150 3185 3213 3276 3315 3332 3430 3468 3510 3570 3675 3757 3778 3780 3822 3825 3900 3969 3978 4046 4050 4095 4116 4165 4212 4284 4335 4410 4420 4459 4550 4590 4641 4725 4802 4900 4914 4998 5100 5145 5202 5265 5292 5355 5460 5508 5525 5667 5670 5733 5780 5831 5850 5950 5967 6069 6174 6188 6300 6370 6426 6615 6630 6825 6860 6885 7020 7140 7203 7225 7350 7371 7497 7514 7556 7644 7650 7735 7803 7938 7956 8092 8100 8190 8330 8575 8670 8775 8820 8918 8925 9100 9180 9261 9282 9445 9450 9555 9604 9639 9828 9945 9996 10115 10290 10404 10530 10710 10829 11025 11050 11271 11334 11340 11466 11475 11662 11700 11900 11934 12005 12138 12285 12348 12495 12740 12852 13005 13223 13230 13260 13377 13650 13770 13923 14161 14175 14406 14450 14700 14742 14994 15028 15300 15435 15470 15606 15876 15925 16065 16380 16575 16660 17001 17150 17199 17340 17493 17550 17836 17850 17901 18207 18522 18564 18785 18890 18900 19110 19278 19845 19890 20230 20475 20580 20825 21060 21420 21609 21658 21675 22050 22100 22295 22491 22542 22668 22932 22950 23205 23324 23409 23868 24010 24276 24557 24570 24990 25725 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32768908025 33138689220 33533197425 33705162540 34079664346 34113356550 34696490850 34775167700 35390420667 36084350484 36112674150 36513926085 36533255850 36737460900 37557181116 38661804090 39322689630 39798915975 40239836910 41423361525 41635789020 42131453175 42957560100 43335208980 43816711302 44609773950 44710929900 45105438105 46394164908 46946476395 47187227556 47758699170 48685234780 50117153450 50557743810 51119496519 52044736275 52162751550 53065221300 54126525726 54169011225 55231148700 56175270900 56335771674 57485481300 57992706135 58984034445 60140584140 60669292572 60856543475 62453683530 62595301860 64436340150 65537816050 65725066953 67066394850 68159328692 68226713100 69392981700 70780841334 72225348300 73027852170 73066511700 75175730175 75836615715 77323608180 78244127325 78645379260 79597831950 80479673820 81189788589 82846723050 84262906350 85199160865 87633422604 89219547900 90210876210 93892952790 95517398340 96654510225 98306724075 100234306900 100599592275 101115487620 102238993038 104089472550 104325503100 106171262001 108253051452 108338022450 109541778255 112671543348 115985412270 117968068890 119396747925 121713086950 124907367060 126394359525 128872680300 131075632100 131450133906 134132789700 135316314315 140839429185 141561682668 146055704340 150351460350 151673231430 153358489557 156134208825 156488254650 159195663900 162379577178 165693446100 168525812700 170398321730 176952103335 180421752420 182569630425 187785905580 193309020450 196613448150 197175200859 201199184550 204477986076 208178945100 212342524002 216676044900 219083556510 225527190525 231970824540 234732381975 235936137780 238793495850 243426173900 252788719050 255597482595 262900267812 270632628630 281678858370 289963530675 294920172225 300702920700 303346462860 306716979114 312268417650 312976509300 324759154356 328625334765 340796643460 353904206670 365139260850 379183078575 386618040900 393226896300 394350401718 402398369100 405948942945 424685048004 425995804325 438167113020 451054381050 460075468671 469464763950 477586991700 505577438100 511194965190 530856310005 541265257260 547708891275 563357716740 579927061350 589840344450 613433958228 624536835300 657250669530 676581571575 704197145925 707808413340 730278521700 758366157150 766792447785 788700803436 811897885890 851991608650 884760516675 902108762100 920150937342 938929527900 985876004295 1022389930380 1061712620010 1095417782550 1159854122700 1179680688900 1277987412975 1314501339060 1353163143150 1380226406013 1408394291850 1516732314300 1533584895570 1623795771780 1643126673825 1703983217300 1769521033350 1840301874684 1971752008590 2029744714725 2123425240020 2190835565100 2300377343355 2555974825950 2654281550025 2706326286300 2760452812026 2816788583700 3067169791140 3286253347650 3539042066700 3833962238925 3943504017180 4059489429450 4600754686710 4929380021475 5111949651900 5308563100050 5520905624052 6572506695300 6901132030065 7667924477850 8118978858900 9201509373420 9858760042950 10617126200100 11501886716775 13802264060130 15335848955700 19717520085900 23003773433550 27604528120260 34505660150325 46007546867100 69011320300650 138022640601300
- Sum of all divisors σ(n): 597429176499540
- Sum of proper divisors (its aliquot sum) s(n): 459406535898240
- 138022640601300 is an abundant number, because the sum of its proper divisors (459406535898240) is greater than itself. Its abundance is 321383895296940
Bases of 138022640601300
- Binary: 111110110000111111001100111011011001000110101002
- Hexadecimal: 0x7D87E676C8D4
- Base-36: 1CXAQ4KP90
Squares and roots of 138022640601300
- 138022640601300 squared (1380226406013002) is 19050249318555627225561690000
- 138022640601300 cubed (1380226406013003) is 2629365715060163571775398587391844197000000
-
The
square root of 138022640601300 is 11748303.7329352359 -
The
cube root of 138022640601300 is 51679.3184243271
Scales and comparisons
How big is 138022640601300?- 138,022,640,601,300 seconds is equal to 4,388,693 years, 2 weeks, 5 hours, 15 minutes.
-
To count from 1 to 138,022,640,601,300 would take you about ten million, nine hundred seventy-one thousand, seven hundred thirty-two 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 138022640601300 cubic inches would be around 4306.6 feet tall.
Recreational maths with 138022640601300
- 138022640601300 backwards is 003106046220831
- 138022640601300 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138022640601300's digits is 36
- More coming soon!
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"Number 138022640601300 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
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Numbermatics. (2024). Number 138022640601300 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/138022640601300/
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The information we have on file for 138022640601300 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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