138583317344940
138,583,317,344,940 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138583317344940 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1536 divisors.
138583317344940 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 138583317344940:
22 × 33 × 5 × 133 × 17 × 29 × 313 × 757
(2 × 2 × 3 × 3 × 3 × 5 × 13 × 13 × 13 × 17 × 29 × 313 × 757)See below for interesting mathematical facts about the number 138583317344940 from the Numbermatics database.
Names of 138583317344940
- Cardinal: 138583317344940 can be written as One hundred thirty-eight trillion, five hundred eighty-three billion, three hundred seventeen million, three hundred forty-four thousand, nine hundred forty.
Scientific notation
- Scientific notation: 1.3858331734494 × 1014
Factors of 138583317344940
Divisors of 138583317344940
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 5 6 9 10 12 13 15 17 18 20 26 27 29 30 34 36 39 45 51 52 54 58 60 65 68 78 85 87 90 102 108 116 117 130 135 145 153 156 169 170 174 180 195 204 221 234 255 260 261 270 290 306 313 338 340 348 351 377 390 435 442 459 468 493 507 510 522 540 580 585 612 626 663 676 702 754 757 765 780 783 845 870 884 918 939 986 1014 1020 1044 1105 1131 1170 1252 1305 1326 1404 1479 1508 1514 1521 1530 1565 1566 1690 1740 1755 1836 1878 1885 1972 1989 2028 2197 2210 2262 2271 2295 2340 2465 2535 2610 2652 2817 2873 2958 3028 3042 3060 3130 3132 3315 3380 3393 3510 3756 3770 3785 3915 3978 4069 4394 4420 4437 4524 4542 4563 4590 4695 4901 4930 5070 5220 5321 5634 5655 5746 5916 5967 6084 6260 6409 6591 6630 6786 6813 7020 7395 7540 7570 7605 7830 7956 8138 8451 8619 8788 8874 9077 9084 9126 9180 9390 9802 9841 9860 9945 10140 10179 10642 10985 11268 11310 11355 11492 11934 12207 12818 12869 13182 13260 13311 13572 13626 14085 14365 14703 14790 15140 15210 15660 15963 16276 16902 16965 17238 17748 18154 18252 18780 19227 19604 19682 19773 19890 20345 20358 20439 21284 21953 21970 22185 22620 22710 22815 23868 24414 24505 25636 25738 25857 26364 26605 26622 27231 27252 28170 28730 29406 29523 29580 29835 30420 31926 32045 32955 33804 33930 34065 34476 36308 36621 37349 38454 38607 39364 39546 39780 40690 40716 40878 42255 43095 43906 43940 44109 44370 45385 45420 45630 47889 48828 49010 49205 50895 51476 51714 52897 53210 53244 54462 56340 57460 57681 58812 59046 59319 59670 61035 63713 63852 64090 64345 65859 65910 66555 67860 68130 69173 73242 73515 74698 76908 77214 77571 79092 79815 81380 81693 81756 83317 84510 86190 87812 88218 88569 88740 90770 91260 95778 96135 98020 98410 98865 101790 102195 103428 105794 106420 108924 109765 109863 112047 115362 115821 118001 118092 118638 119340 122070 127426 127933 128180 128690 129285 131718 131820 132327 133110 136155 136260 138346 143667 146484 147030 147615 149396 154309 154428 155142 158691 159630 163386 166634 167297 169020 172380 173043 176436 177138 181540 183105 186745 191139 191556 192270 193035 196820 197577 197730 203580 204390 207519 211588 219530 219726 220545 224094 230724 231642 236002 236941 237276 239445 244140 245079 249951 254852 255866 257380 258570 263436 264485 264654 265707 266220 272310 276692 285389 287334 288405 294060 295230 296595 308618 310284 317382 318565 319260 326772 329295 333268 334594 336141 345865 346086 347463 354003 354276 366210 373201 373490 382278 383799 384540 386070 387855 395154 395460 408465 408780 415038 416585 439060 439452 441090 442845 448188 462927 463284 472004 473882 476073 478890 490158 499902 501891 511732 517140 528970 529308 531414 544620 549315 560235 570778 573417 574668 576810 579105 590005 590460 592731 593190 617236 622557 634764 637130 639665 658590 661635 669188 672282 687661 691730 692172 694926 708006 710823 718335 732420 746402 746980 749853 764556 767598 771545 772140 775710 790308 793455 816930 830076 833170 836485 856167 865215 882180 885690 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19741213297 20341012380 20421944790 20902461138 21026144340 21623235660 22137910119 22778323035 23224956820 23425171965 24118224390 24506333748 24597677910 26044600140 26548528227 27333987642 28110206358 28276538940 29517213492 30192443866 30371097380 30511518570 30632917185 31233562620 31353691707 31539216510 34058323260 34837435230 35398037636 36613822284 36759500622 36896516865 39482426594 40843889580 41000981463 41804922276 44247547045 44275820238 45288665799 45556646070 45767277855 46850343930 48236448780 49195355820 52256152845 53097056454 54667975284 56220412716 59223639891 60384887732 61023037140 61265834370 62707383414 63078433020 68334969105 69674870460 70275515895 73519001244 73793033730 75481109665 78964853188 79645584681 82001962926 88495094090 88551640476 90577331598 91113292140 91534555710 91898751555 93700687860 98706066485 104512305690 106194112908 110689550595 118447279782 122531668740 125414766828 132742641135 135865997397 136669938210 140551031790 147586067460 150962219330 156768458535 159291169362 164003925852 176990188180 177670919673 181154663196 183069111420 183797503110 197412132970 205004907315 209024611380 221379101190 226443328995 236894559564 238936754043 256635772861 265485282270 271731994794 273339876420 281102063580 296118199455 301924438660 313536917070 318582338724 355341839346 367595006220 394824265940 398227923405 407597992191 410009814630 442758202380 452886657990 477873508086 513271545722 530970564540 533012759019 543463989588 592236398910 627073834140 679329986985 710683678692 769907318583 796455846810 815195984382 820019629260 888354598365 905773315980 955747016172 1026543091444 1066025518038 1184472797820 1194683770215 1283178864305 1358659973970 1539814637166 1592911693620 1630391968764 1776709196730 2037989960955 2132051036076 2309721955749 2389367540430 2566357728610 2665063795095 2717319947940 3079629274332 3553418393460 3849536592915 4075979921910 4619443911498 4778735080860 5132715457220 5330127590190 6929165867247 7699073185830 8151959843820 9238887822996 10660255180380 11548609778745 13858331734494 15398146371660 23097219557490 27716663468988 34645829336235 46194439114980 69291658672470 138583317344940
- Sum of all divisors σ(n): 513900277632000
- Sum of proper divisors (its aliquot sum) s(n): 375316960287060
- 138583317344940 is an abundant number, because the sum of its proper divisors (375316960287060) is greater than itself. Its abundance is 236733642942120
Bases of 138583317344940
- Binary: 111111000001010011100010110011011110010101011002
- Hexadecimal: 0x7E0A7166F2AC
- Base-36: 1D4GAP15F0
Squares and roots of 138583317344940
- 138583317344940 squared (1385833173449402) is 19205335846328347850943603600
- 138583317344940 cubed (1385833173449403) is 2661539152307873263146086474525627825784000
-
The
square root of 138583317344940 is 11772141.5785293713 -
The
cube root of 138583317344940 is 51749.2012721755
Scales and comparisons
How big is 138583317344940?- 138,583,317,344,940 seconds is equal to 4,406,520 years, 42 weeks, 6 days, 9 hours, 9 minutes.
-
To count from 1 to 138,583,317,344,940 would take you about eleven million, sixteen thousand, three hundred 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 138583317344940 cubic inches would be around 4312.4 feet tall.
Recreational maths with 138583317344940
- 138583317344940 backwards is 049443713385831
- The number of decimal digits it has is: 15
- The sum of 138583317344940's digits is 63
- More coming soon!
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MLA style:
"Number 138583317344940 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
APA style:
Numbermatics. (2024). Number 138583317344940 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/138583317344940/
Chicago style:
Numbermatics. 2024. "Number 138583317344940 - Facts about the integer". https://numbermatics.com/n/138583317344940/
The information we have on file for 138583317344940 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 138583317344940, math, Factors of 138583317344940, curriculum, school, college, exams, university, Prime factorization of 138583317344940, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, five hundred eighty-three billion, three hundred seventeen million, three hundred forty-four thousand, nine hundred forty.