138149086146429800
138,149,086,146,429,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 138149086146429800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
138149086146429800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 138149086146429800:
23 × 52 × 133 × 292 × 312 × 733
(2 × 2 × 2 × 5 × 5 × 13 × 13 × 13 × 29 × 29 × 31 × 31 × 73 × 73 × 73)See below for interesting mathematical facts about the number 138149086146429800 from the Numbermatics database.
Names of 138149086146429800
- Cardinal: 138149086146429800 can be written as One hundred thirty-eight quadrillion, one hundred forty-nine trillion, eighty-six billion, one hundred forty-six million, four hundred twenty-nine thousand, eight hundred.
Scientific notation
- Scientific notation: 1.381490861464298 × 1017
Factors of 138149086146429800
Divisors of 138149086146429800
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 4 5 8 10 13 20 25 26 29 31 40 50 52 58 62 65 73 100 104 116 124 130 145 146 155 169 200 232 248 260 290 292 310 325 338 365 377 403 520 580 584 620 650 676 725 730 754 775 806 841 845 899 949 961 1160 1240 1300 1352 1450 1460 1508 1550 1612 1682 1690 1798 1825 1885 1898 1922 2015 2117 2197 2263 2600 2900 2920 3016 3100 3224 3364 3380 3596 3650 3770 3796 3844 4030 4205 4225 4234 4394 4495 4526 4745 4805 4901 5239 5329 5800 6200 6728 6760 7192 7300 7540 7592 7688 8060 8410 8450 8468 8788 8990 9052 9425 9490 9610 9802 10075 10478 10585 10658 10933 10985 11315 11687 12337 12493 14600 15080 16120 16820 16900 16936 17576 17980 18104 18850 18980 19220 19604 20150 20956 21025 21170 21316 21866 21970 22475 22630 23374 23725 24025 24505 24674 24986 26071 26195 26645 27521 27869 29419 33640 33800 35960 37700 37960 38440 39208 40300 41912 42050 42340 42632 43732 43940 44950 45260 46748 47450 48050 49010 49348 49972 52142 52390 52925 53290 54665 54925 55042 55738 56575 58435 58838 61393 61685 62465 63713 65627 68107 69277 70153 75400 80600 84100 84680 87464 87880 89900 90520 93496 94900 96100 98020 98696 99944 104284 104780 105850 106580 109330 109850 110084 111476 113150 116870 117676 122525 122786 123370 124930 127426 130355 130975 131254 133225 136214 137605 138554 139345 140306 142129 147095 151931 154541 160381 162409 165199 168200 179800 189800 192200 196040 208568 209560 211700 213160 218660 219700 220168 222952 226300 233740 235352 245050 245572 246740 249860 254852 260710 261950 262508 266450 272428 273325 275210 277108 278690 280612 284258 292175 294190 303862 306965 308425 309082 312325 318565 320762 324818 328135 330398 338923 340535 346385 350765 357773 362297 382447 389017 423400 437320 439400 452600 467480 490100 491144 493480 499720 509704 521420 523900 525016 532900 544856 546650 550420 554216 557380 561224 568516 584350 588380 607724 613930 616850 618164 624650 637130 641524 649636 651775 656270 660796 677846 681070 688025 692770 696725 701530 710645 715546 724594 735475 759655 764894 772705 778034 798109 801905 808201 812045 825995 853151 900601 911989 980200 1042840 1047800 1065800 1093300 1100840 1114760 1137032 1168700 1176760 1215448 1227860 1233700 1236328 1249300 1274260 1283048 1299272 1303550 1312540 1321592 1355692 1362140 1376050 1385540 1393450 1403060 1421290 1431092 1449188 1470950 1519310 1529788 1534825 1545410 1556068 1592825 1596218 1603810 1616402 1624090 1640675 1651990 1694615 1702675 1706302 1731925 1753825 1788865 1801202 1811485 1823978 1847677 1903183 1912235 1945085 1975103 2009033 2034437 2111317 2147587 2186600 2337400 2455720 2467400 2498600 2548520 2607100 2625080 2711384 2724280 2752100 2771080 2786900 2806120 2842580 2862184 2898376 2941900 3038620 3059576 3069650 3090820 3112136 3185650 3192436 3207620 3232804 3248180 3281350 3303980 3389230 3405350 3412604 3463850 3507650 3553225 3577730 3602404 3622970 3647956 3695354 3798275 3806366 3824470 3863525 3890170 3950206 3990545 4009525 4018066 4041005 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355123519400 361224133400 381314463400 386136142600 393850829320 398831029480 405682488280 407612012600 418129305100 421012955480 425312286100 430690312900 433660590920 442324777544 446965808900 447917925416 450048331720 454644167900 469591373420 472829934616 485998938100 492313536650 495708802420 498538786850 501976985380 505438895624 507103110350 518480338324 526266194350 527387234764 529895616380 542075738650 552905971930 559897406770 562560414650 563758768196 586989216775 591037418270 610468785446 619636003025 627471231725 628807856834 631798619530 648100422905 652570080994 659234043455 662369520475 704698460245 718777763509 727866628801 768348643751 821338205389 836258610200 850624572200 861380625800 893931617800 909288335800 939182746840 971997876200 984627073300 991417604840 997077573700 1003953970760 1014206220700 1036960676648 1052532388700 1054774469528 1059791232760 1084151477300 1105811943860 1119794813540 1125120829300 1127517536392 1173978433550 1182074836540 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34280170259660 35938888175450 36393331440050 36644319932740 37849064697652 38417432187550 40872510694210 41066910269450 42850212824575 44564221337558 45805399915925 47311330872065 47637615912562 53134263902473 61046878544600 62880785683400 65257008099400 68560340519320 71877776350900 72786662880100 73288639865480 75698129395304 76834864375100 81745021388420 82133820538900 85700425649150 89128442675116 91610799831850 94622661744130 95275231825124 102181276735525 106268527804946 111410553343895 119094039781405 143755552701800 145573325760200 153669728750200 163490042776840 164267641077800 171400851298300 178256885350232 183221599663700 189245323488260 190550463650248 204362553471050 212537055609892 222821106687790 236556654360325 238188079562810 265671319512365 342801702596600 366443199327400 378490646976520 408725106942100 425074111219784 445642213375580 473113308720650 476376159125620 531342639024730 557052766719475 595470198907025 690745430732149 817450213884200 891284426751160 946226617441300 952752318251240 1062685278049460 1114105533438950 1190940397814050 1328356597561825 1381490861464298 1892453234882600 2125370556098920 2228211066877900 2381880795628100 2656713195123650 2762981722928596 3453727153660745 4456422133755800 4763761591256200 5313426390247300 5525963445857192 6907454307321490 10626852780494600 13814908614642980 17268635768303725 27629817229285960 34537271536607450 69074543073214900 138149086146429800
- Sum of all divisors σ(n): 377534150162442000
- Sum of proper divisors (its aliquot sum) s(n): 239385064016012200
- 138149086146429800 is an abundant number, because the sum of its proper divisors (239385064016012200) is greater than itself. Its abundance is 101235977869582400
Bases of 138149086146429800
- Binary: 1111010101100110111011100101001011100110110000011011010002
- Hexadecimal: 0x1EACDDCA5CD8368
- Base-36: 11S9RI17VQLK
Squares and roots of 138149086146429800
- 138149086146429800 squared (1381490861464298002) is 19085170003093682087767286328040000
- 138149086146429800 cubed (1381490861464298003) is 2636598794876646979318629636294368354997631592000000
-
The
square root of 138149086146429800 is 371684121.4612615113 -
The
cube root of 138149086146429800 is 516950.9512365283
Scales and comparisons
How big is 138149086146429800?- 138,149,086,146,429,800 seconds is equal to 4,392,713,616 years, 14 weeks, 2 days, 10 hours, 3 minutes, 20 seconds.
-
To count from 1 to 138,149,086,146,429,800 would take you about thirteen billion, one hundred seventy-eight million, one hundred forty thousand, eight 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 138149086146429800 cubic inches would be around 43079.2 feet tall.
Recreational maths with 138149086146429800
- 138149086146429800 backwards is 008924641680941831
- The number of decimal digits it has is: 18
- The sum of 138149086146429800's digits is 74
- More coming soon!
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Cite this page
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"Number 138149086146429800 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
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Numbermatics. (2024). Number 138149086146429800 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/138149086146429800/
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Numbermatics. 2024. "Number 138149086146429800 - Facts about the integer". https://numbermatics.com/n/138149086146429800/
The information we have on file for 138149086146429800 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!
Keywords: Divisors of 138149086146429800, math, Factors of 138149086146429800, curriculum, school, college, exams, university, Prime factorization of 138149086146429800, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, one hundred forty-nine trillion, eighty-six billion, one hundred forty-six million, four hundred twenty-nine thousand, eight hundred.