138979792224
138,979,792,224 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138979792224 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 960 divisors.
138979792224 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138979792224:
25 × 34 × 7 × 13 × 31 × 83 × 229
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 13 × 31 × 83 × 229)See below for interesting mathematical facts about the number 138979792224 from the Numbermatics database.
Names of 138979792224
- Cardinal: 138979792224 can be written as One hundred thirty-eight billion, nine hundred seventy-nine million, seven hundred ninety-two thousand, two hundred twenty-four.
Scientific notation
- Scientific notation: 1.38979792224 × 1011
Factors of 138979792224
Divisors of 138979792224
- Number of divisors d(n): 960
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 31 32 36 39 42 48 52 54 56 62 63 72 78 81 83 84 91 93 96 104 108 112 117 124 126 144 156 162 166 168 182 186 189 208 216 217 224 229 234 248 249 252 273 279 288 312 324 332 336 351 364 372 378 403 416 432 434 458 468 496 498 504 546 558 567 581 624 648 651 664 672 687 702 728 744 747 756 806 819 837 864 868 916 936 992 996 1008 1053 1079 1092 1116 1134 1162 1209 1248 1296 1302 1328 1374 1404 1456 1488 1494 1512 1603 1612 1638 1674 1736 1743 1832 1872 1953 1992 2016 2061 2106 2158 2184 2232 2241 2268 2324 2418 2457 2511 2573 2592 2604 2656 2748 2808 2821 2912 2976 2977 2988 3024 3206 3224 3237 3276 3348 3472 3486 3627 3664 3744 3906 3984 4122 4212 4316 4368 4464 4482 4536 4648 4809 4836 4914 5022 5146 5208 5229 5496 5616 5642 5859 5954 5976 6048 6183 6412 6448 6474 6552 6696 6723 6944 6972 7099 7254 7328 7371 7553 7719 7812 7968 8244 8424 8463 8632 8736 8928 8931 8964 9072 9296 9618 9672 9711 9828 10044 10292 10416 10458 10881 10992 11232 11284 11718 11908 11952 12366 12824 12896 12948 13104 13392 13446 13944 14198 14427 14508 14742 15106 15438 15624 15687 16488 16848 16926 17264 17577 17862 17928 18011 18144 18549 18592 19007 19236 19344 19422 19656 20088 20584 20832 20839 20916 21297 21762 21984 22568 22659 23157 23436 23816 23904 24732 25389 25648 25896 26208 26784 26793 26892 27888 28396 28854 29016 29133 29484 30212 30876 31248 31374 32643 32976 33449 33696 33852 34528 35154 35724 35856 36022 37098 38014 38472 38688 38844 39312 40176 41168 41678 41832 42594 43281 43524 45136 45318 46314 46872 47061 47632 49464 49693 50778 51296 51792 53586 53784 54033 55776 56792 57021 57708 58032 58266 58968 60424 61752 62496 62517 62748 63891 65286 65952 66898 67704 67977 69471 70308 71448 71712 72044 74196 76028 76167 76944 77688 78624 80352 80379 82336 83356 83664 85188 86562 87048 87399 90272 90636 92287 92628 93744 94122 95264 98928 99386 100347 101556 103584 107172 107568 108066 113584 114042 115416 116064 116532 117936 120848 123504 125034 125496 127782 129843 130572 133049 133796 135408 135954 138942 140616 142896 144088 148392 149079 152056 152334 153888 155376 160758 162099 166712 167328 170376 171063 173124 174096 174798 181272 184574 185256 187488 187551 188244 191673 197856 198772 200694 203112 203931 208413 214344 215136 216132 227168 228084 228501 230832 233064 234143 235872 241137 241696 247008 247091 250068 250992 255564 259686 261144 266098 267592 270816 271908 276861 277884 281232 285792 288176 296784 298158 301041 304112 304668 310752 321516 324198 333424 340752 342126 346248 348192 349596 362544 369148 370512 375102 376488 383346 397544 399147 401388 406224 407862 416826 428688 432264 447237 456168 457002 461664 466128 468286 482274 486297 494182 500136 501984 511128 513189 519372 522288 532196 535184 543816 553722 555768 562464 562653 575019 576352 589217 593568 596316 602082 608224 609336 611793 643032 646009 648396 666848 681504 684252 692496 699192 702429 725088 738296 741024 741273 750204 752976 766692 795088 798294 802776 812448 815724 830583 833652 857376 864528 894474 903123 912336 914004 932256 936572 964548 972594 988364 1000272 1022256 1026378 1038744 1044576 1064392 1070368 1087632 1107444 1111536 1125306 1150038 1178434 1192632 1197441 1204164 1218672 1223586 1286064 1292018 1296792 1341711 1368504 1384992 1398384 1404858 1458891 1476592 1482546 1500408 1505952 1533384 1539567 1590176 1596588 1605552 1631448 1661166 1667304 1687959 1729056 1729637 1767651 1788948 1806246 1824672 1828008 1873144 1929096 1938027 1945188 1976728 2000544 2044512 2052756 2077488 2107287 2128784 2175264 2214888 2223072 2223819 2250612 2300076 2356868 2385264 2394882 2408328 2437344 2447172 2491749 2572128 2584036 2593584 2683422 2709369 2737008 2796768 2809716 2917782 2953184 2965092 3000816 3066768 3079134 3193176 3211104 3262896 3322332 3334608 3375918 3459274 3535302 3577896 3592323 3612492 3656016 3746288 3858192 3876054 3890376 3953456 4025133 4105512 4124519 4154976 4214574 4257568 4429776 4447638 4501224 4600152 4713736 4770528 4789764 4816656 4894344 4983498 5168072 5187168 5188911 5302953 5366844 5418738 5474016 5619432 5814081 5835564 5930184 6001632 6133536 6158268 6321861 6386352 6525792 6644664 6669216 6671457 6751836 6918548 7070604 7155792 7184646 7224984 7312032 7475247 7492576 7659821 7716384 7752108 7780752 7906912 8050266 8211024 8249038 8429148 8859552 8895276 9002448 9200304 9427472 9579528 9633312 9788688 9966996 10336144 10377822 10605906 10733688 10776969 10837476 11238864 11628162 11671128 11860368 12316536 12373557 12643722 12772704 13289328 13342914 13503672 13837096 14141208 14311584 14369292 14449968 14950494 15319642 15504216 15561504 15566733 15908859 16100532 16422048 16498076 16858296 17442243 17790552 18004896 18400608 18854944 18965583 19159056 19577376 19933992 20014371 20672288 20755644 21211812 21467376 21553938 21674952 22477728 22979463 23256324 23342256 23720736 24633072 24747114 25287444 26578656 26685828 27007344 27674192 28282416 28738584 28899936 29900988 30639284 31008432 31133466 31817718 32201064 32996152 33716592 34884486 35581104 37120671 37931166 38318112 39867984 40028742 41511288 42423624 42934752 43107876 43349904 45958926 46512648 46684512 46700199 47726577 49266144 49494228 50574888 52326729 53371656 53618747 54014688 55348384 56564832 57477168 59801976 61278568 62016864 62266932 63635436 64402128 65992304 67433184 68938389 69768972 71162208 74241342 75862332 79735968 80057484 83022576 84847248 86215752 86699808 91917852 93025296 93400398 95453154 98988456 101149776 104653458 106743312 107237494 111362013 114954336 119603952 122557136 124533864 127270872 128804256 131984608 137876778 139537944 140100597 148482684 151724664 160114968 160856241 166045152 169694496 172431504 183835704 186050592 186800796 190906308 197976912 202299552 206815167 209306916 213486624 214474988 222724026 239207904 245114272 249067728 254541744 275753556 279075888 280201194 296965368 303449328 320229936 321712482 334086039 344863008 367671408 373601592 381812616 395953824 413630334 418613832 428949976 445448052 482568723 498135456 509083488 551507112 558151776 560402388 593930736 606898656 620445501 640459872 643424964 668172078 735342816 747203184 763625232 827260668 837227664 857899952 890896104 965137446 1103014224 1120804776 1187861472 1240891002 1286849928 1336344156 1447706169 1494406368 1527250464 1654521336 1674455328 1715799904 1781792208 1930274892 2206028448 2241609552 2481782004 2573699856 2672688312 2895412338 3309042672 3563584416 3860549784 4343118507 4483219104 4963564008 5147399712 5345376624 5790824676 6618085344 7721099568 8686237014 9927128016 10690753248 11581649352 15442199136 17372474028 19854256032 23163298704 34744948056 46326597408 69489896112 138979792224
- Sum of all divisors σ(n): 527838474240
- Sum of proper divisors (its aliquot sum) s(n): 388858682016
- 138979792224 is an abundant number, because the sum of its proper divisors (388858682016) is greater than itself. Its abundance is 249878889792
Bases of 138979792224
- Binary: 100000010110111101011101010101011000002
- Hexadecimal: 0x205BD75560
- Base-36: 1RUGZA00
Squares and roots of 138979792224
- 138979792224 squared (1389797922242) is 19315382646626210866176
- 138979792224 cubed (1389797922243) is 2684447866955166000773551549415424
-
The
square root of 138979792224 is 372799.9359227413 -
The
cube root of 138979792224 is 5179.8504280441
Scales and comparisons
How big is 138979792224?- 138,979,792,224 seconds is equal to 4,419 years, 6 weeks, 4 days, 9 hours, 50 minutes, 24 seconds.
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To count from 1 to 138,979,792,224 would take you about eight thousand, eight hundred thirty-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 138979792224 cubic inches would be around 431.7 feet tall.
Recreational maths with 138979792224
- 138979792224 backwards is 422297979831
- 138979792224 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138979792224's digits is 63
- More coming soon!
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The information we have on file for 138979792224 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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