138282979680
138,282,979,680 is an even composite number composed of five prime numbers multiplied together.
138282979680 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 138282979680:
25 × 35 × 5 × 312 × 3701
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 31 × 31 × 3701)See below for interesting mathematical facts about the number 138282979680 from the Numbermatics database.
Names of 138282979680
- Cardinal: 138282979680 can be written as One hundred thirty-eight billion, two hundred eighty-two million, nine hundred seventy-nine thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3828297968 × 1011
Factors of 138282979680
Divisors of 138282979680
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 31 32 36 40 45 48 54 60 62 72 80 81 90 93 96 108 120 124 135 144 155 160 162 180 186 216 240 243 248 270 279 288 310 324 360 372 405 432 465 480 486 496 540 558 620 648 720 744 810 837 864 930 961 972 992 1080 1116 1215 1240 1296 1395 1440 1488 1620 1674 1860 1922 1944 2160 2232 2430 2480 2511 2592 2790 2883 2976 3240 3348 3701 3720 3844 3888 4185 4320 4464 4805 4860 4960 5022 5580 5766 6480 6696 7402 7440 7533 7688 7776 8370 8649 8928 9610 9720 10044 11103 11160 11532 12555 12960 13392 14415 14804 14880 15066 15376 16740 17298 18505 19220 19440 20088 22206 22320 23064 25110 25947 26784 28830 29608 30132 30752 33309 33480 34596 37010 37665 38440 38880 40176 43245 44412 44640 46128 50220 51894 55515 57660 59216 60264 66618 66960 69192 74020 75330 76880 77841 80352 86490 88824 92256 99927 100440 103788 111030 114731 115320 118432 120528 129735 133236 133920 138384 148040 150660 153760 155682 166545 172980 177648 199854 200880 207576 222060 229462 230640 233523 241056 259470 266472 276768 296080 299781 301320 311364 333090 344193 345960 355296 389205 399708 401760 415152 444120 458924 461280 467046 499635 518940 532944 573655 592160 599562 602640 622728 666180 688386 691920 778410 799416 830304 888240 899343 917848 934092 999270 1032579 1037880 1065888 1147310 1167615 1199124 1205280 1245456 1332360 1376772 1383840 1498905 1556820 1598832 1720965 1776480 1798686 1835696 1868184 1998540 2065158 2075760 2294620 2335230 2398248 2490912 2664720 2753544 2997810 3097737 3113640 3197664 3441930 3556661 3597372 3671392 3736368 3997080 4130316 4151520 4496715 4589240 4670460 4796496 5162895 5329440 5507088 5995620 6195474 6227280 6883860 7113322 7194744 7472736 7994160 8260632 8993430 9178480 9293211 9340920 9592992 10325790 10669983 11014176 11991240 12390948 12454560 13767720 14226644 14389488 15488685 15988320 16521264 17783305 17986860 18356960 18586422 18681840 20651580 21339966 23982480 24781896 27535440 27879633 28453288 28778976 30977370 32009949 33042528 35566610 35973720 37172844 37363680 41303160 42679932 46466055 47964960 49563792 53349915 55070880 55759266 56906576 61954740 64019898 71133220 71947440 74345688 82606320 85359864 92932110 96029847 99127584 106699830 111518532 113813152 123909480 128039796 139398165 142266440 143894880 148691376 160049745 165212640 170719728 185864220 192059694 213399660 223037064 247818960 256079592 278796330 284532880 288089541 297382752 320099490 341439456 371728440 384119388 426799320 446074128 480149235 495637920 512159184 557592660 569065760 576179082 640198980 743456880 768238776 853598640 864268623 892148256 960298470 1024318368 1115185320 1152358164 1280397960 1440447705 1486913760 1536477552 1707197280 1728537246 1920596940 2230370640 2304716328 2560795920 2880895410 3072955104 3457074492 3841193880 4321343115 4460741280 4609432656 5121591840 5761790820 6914148984 7682387760 8642686230 9218865312 11523581640 13828297968 15364775520 17285372460 23047163280 27656595936 34570744920 46094326560 69141489840 138282979680
- Sum of all divisors σ(n): 505800024912
- Sum of proper divisors (its aliquot sum) s(n): 367517045232
- 138282979680 is an abundant number, because the sum of its proper divisors (367517045232) is greater than itself. Its abundance is 229234065552
Bases of 138282979680
- Binary: 100000001100100100111011010001011000002
- Hexadecimal: 0x20324ED160
- Base-36: 1RIY4600
Squares and roots of 138282979680
- 138282979680 squared (1382829796802) is 19122182469179292902400
- 138282979680 cubed (1382829796803) is 2644272369822772386699347423232000
-
The
square root of 138282979680 is 371864.1952111011 -
The
cube root of 138282979680 is 5171.1790623201
Scales and comparisons
How big is 138282979680?- 138,282,979,680 seconds is equal to 4,396 years, 50 weeks, 3 days, 10 hours, 48 minutes.
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To count from 1 to 138,282,979,680 would take you about eight thousand, seven hundred ninety-three 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 138282979680 cubic inches would be around 430.9 feet tall.
Recreational maths with 138282979680
- 138282979680 backwards is 086979282831
- The number of decimal digits it has is: 12
- The sum of 138282979680's digits is 63
- More coming soon!
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