138365292960
138,365,292,960 is an even composite number composed of six prime numbers multiplied together.
What does the number 138365292960 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 864 divisors.
138365292960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138365292960:
25 × 33 × 5 × 172 × 192 × 307
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 17 × 17 × 19 × 19 × 307)See below for interesting mathematical facts about the number 138365292960 from the Numbermatics database.
Names of 138365292960
- Cardinal: 138365292960 can be written as One hundred thirty-eight billion, three hundred sixty-five million, two hundred ninety-two thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.3836529296 × 1011
Factors of 138365292960
Divisors of 138365292960
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 19 20 24 27 30 32 34 36 38 40 45 48 51 54 57 60 68 72 76 80 85 90 95 96 102 108 114 120 135 136 144 152 153 160 170 171 180 190 204 216 228 240 255 270 272 285 288 289 304 306 307 323 340 342 360 361 380 408 432 456 459 480 510 513 540 544 570 578 608 612 614 646 680 684 720 722 760 765 816 855 864 867 912 918 921 969 1020 1026 1080 1083 1140 1156 1224 1228 1292 1360 1368 1440 1444 1445 1520 1530 1535 1615 1632 1710 1734 1805 1824 1836 1842 1938 2040 2052 2160 2166 2280 2295 2312 2448 2456 2565 2584 2601 2720 2736 2763 2888 2890 2907 3040 3060 3070 3230 3249 3420 3468 3610 3672 3684 3876 4080 4104 4320 4332 4335 4560 4590 4605 4624 4845 4896 4912 5130 5168 5202 5219 5415 5472 5491 5526 5776 5780 5814 5833 6120 6137 6140 6460 6498 6840 6936 7220 7344 7368 7752 7803 8160 8208 8289 8664 8670 8721 9120 9180 9210 9248 9690 9747 9824 10260 10336 10404 10438 10830 10982 11052 11552 11560 11628 11666 12240 12274 12280 12920 12996 13005 13680 13815 13872 14440 14535 14688 14736 15504 15606 15657 16245 16416 16473 16578 17328 17340 17442 17499 18360 18411 18420 19380 19494 20520 20808 20876 21660 21964 22104 23120 23256 23332 24480 24548 24560 25840 25992 26010 26095 27360 27455 27630 27744 28880 29070 29165 29472 30685 31008 31212 31314 32490 32946 33156 34656 34680 34884 34998 36720 36822 36840 38760 38988 39015 41040 41445 41616 41752 43320 43605 43928 44208 46240 46512 46664 46971 48735 49096 49120 49419 51680 51984 52020 52190 52497 54910 55233 55260 57760 58140 58330 61370 62424 62628 64980 65892 66312 69360 69768 69996 73440 73644 73680 77520 77976 78030 78285 82080 82365 82890 83232 83504 86640 87210 87495 87856 88416 88723 92055 93024 93328 93942 97470 98192 98838 99161 103968 104040 104329 104380 104994 109820 110466 110520 110827 116280 116660 122740 124848 125256 129960 131784 132624 138720 139536 139992 140913 147288 147360 148257 155040 155952 156060 156570 157491 164730 165699 165780 167008 173280 174420 174990 175712 177446 184110 186656 187884 194940 196384 197676 198322 208080 208658 208760 209988 219640 220932 221040 221654 232560 233320 234855 245480 247095 249696 250512 259920 262485 263568 265248 266169 276165 279072 279984 281826 294576 296514 297483 311904 312120 312987 313140 314982 329460 331398 331560 332481 348840 349980 354892 368220 375768 389880 395352 396644 416160 417316 417520 419976 439280 441864 442080 443308 443615 465120 466640 469710 490960 494190 495805 501024 519840 521645 524970 527136 532338 552330 554135 559968 563652 589152 593028 594966 624240 625974 626280 629964 658920 662796 663120 664962 697680 699960 704565 709784 736440 741285 751536 779760 787455 790704 793288 798507 828495 834632 835040 839952 878560 883728 886616 887230 892449 933280 938961 939420 981920 988380 991610 997443 1043290 1049940 1064676 1104660 1108270 1127304 1186056 1189932 1248480 1251948 1252560 1259928 1317840 1325592 1326240 1329924 1330845 1395360 1399920 1409130 1419568 1472880 1482570 1487415 1503072 1559520 1564935 1574910 1581408 1586576 1597014 1656990 1662405 1669264 1679904 1685737 1767456 1773232 1774460 1784898 1877922 1878840 1884059 1976760 1983220 1994886 2086580 2099880 2129352 2209320 2216540 2254608 2372112 2379864 2395521 2503896 2505120 2519856 2635680 2651184 2659848 2661690 2677347 2799840 2816883 2818260 2839136 2945760 2965140 2974830 2992329 3129870 3149820 3173152 3194028 3313980 3324810 3338528 3371474 3546464 3548920 3569796 3755844 3757680 3768118 3953520 3966440 3989772 3992535 4173160 4199760 4258704 4418640 4433080 4462245 4509216 4694805 4744224 4759728 4791042 4987215 5007792 5039712 5057211 5302368 5319696 5323380 5354694 5633766 5636520 5652177 5930280 5949660 5984658 6259740 6299640 6388056 6627960 6649620 6742948 7097840 7139592 7511688 7515360 7536236 7907040 7932880 7979544 7985070 8346320 8399520 8428685 8517408 8837280 8866160 8924490 9389610 9420295 9519456 9582084 9974430 10015584 10114422 10639392 10646760 10709388 11267532 11273040 11304354 11860560 11899320 11969316 11977605 12519480 12599280 12776112 13255920 13299240 13386735 13485896 14084415 14195680 14279184 14961645 15023376 15072472 15171633 15865760 15959088 15970140 16692640 16857370 16956531 17732320 17848980 18779220 18840590 19164168 19948860 20228844 21293520 21418776 22535064 22546080 22608708 23721120 23798640 23938632 23955210 25038960 25198560 25286055 25552224 26511840 26598480 26773470 26971792 28168830 28260885 28558368 29923290 30046752 30144944 30343266 31918176 31940280 32029003 33714740 33913062 35697960 37558440 37681180 38328336 39897720 40457688 42587040 42837552 45070128 45217416 45514899 47597280 47877264 47910420 50077920 50572110 50869593 53196960 53546940 53943584 56337660 56521770 59846580 60289888 60686532 63880560 64058006 67429480 67826124 71395920 75116880 75362360 75858165 76656672 79795440 80915376 84782655 85675104 90140256 90434832 91029798 95754528 95820840 96087009 101144220 101739186 107093880 112675320 113043540 119693160 121373064 127761120 128116012 134858960 135652248 142791840 150233760 150724720 151716330 159590880 160145015 161830752 169565310 180869664 182059596 191641680 192174018 202288440 203478372 214187760 225350640 226087080 227574495 239386320 242746128 254347965 256232024 269717920 271304496 288261027 301449440 303432660 320290030 339130620 364119192 383283360 384348036 404576880 406956744 428375520 450701280 452174160 455148990 478772640 480435045 485492256 508695930 512464048 542608992 576522054 606865320 640580060 678261240 728238384 768696072 809153760 813913488 864783081 904348320 910297980 960870090 1017391860 1024928096 1153044108 1213730640 1281160120 1356522480 1441305135 1456476768 1537392144 1627826976 1729566162 1820595960 1921740180 2034783720 2306088216 2427461280 2562320240 2713044960 2882610270 3074784288 3459132324 3641191920 3843480360 4069567440 4323915405 4612176432 5124640480 5765220540 6918264648 7282383840 7686960720 8139134880 8647830810 9224352864 11530441080 13836529296 15373921440 17295661620 23060882160 27673058592 34591323240 46121764320 69182646480 138365292960
- Sum of all divisors σ(n): 544710640320
- Sum of proper divisors (its aliquot sum) s(n): 406345347360
- 138365292960 is an abundant number, because the sum of its proper divisors (406345347360) is greater than itself. Its abundance is 267980054400
Bases of 138365292960
- Binary: 100000001101110011011011010001101000002
- Hexadecimal: 0x203736D1A0
- Base-36: 1RKB4FC0
Squares and roots of 138365292960
- 138365292960 squared (1383652929602) is 19144954295906625561600
- 138365292960 cubed (1383652929603) is 2648997209858930774635808526336000
-
The
square root of 138365292960 is 371974.8552792245 -
The
cube root of 138365292960 is 5172.2049111057
Scales and comparisons
How big is 138365292960?- 138,365,292,960 seconds is equal to 4,399 years, 30 weeks, 4 days, 3 hours, 36 minutes.
-
To count from 1 to 138,365,292,960 would take you about eight thousand, seven hundred ninety-nine 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 138365292960 cubic inches would be around 431 feet tall.
Recreational maths with 138365292960
- 138365292960 backwards is 069292563831
- 138365292960 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138365292960's digits is 54
- More coming soon!
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The information we have on file for 138365292960 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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