138306933232960
138,306,933,232,960 is an even composite number composed of seven prime numbers multiplied together.
138306933232960 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 138306933232960:
26 × 5 × 17 × 29 × 257 × 1093 × 3121
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 17 × 29 × 257 × 1093 × 3121)See below for interesting mathematical facts about the number 138306933232960 from the Numbermatics database.
Names of 138306933232960
- Cardinal: 138306933232960 can be written as One hundred thirty-eight trillion, three hundred six billion, nine hundred thirty-three million, two hundred thirty-two thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.3830693323296 × 1014
Factors of 138306933232960
Divisors of 138306933232960
- Number of divisors d(n): 448
-
Complete list of divisors:
1 2 4 5 8 10 16 17 20 29 32 34 40 58 64 68 80 85 116 136 145 160 170 232 257 272 290 320 340 464 493 514 544 580 680 928 986 1028 1088 1093 1160 1285 1360 1856 1972 2056 2186 2320 2465 2570 2720 3121 3944 4112 4369 4372 4640 4930 5140 5440 5465 6242 7453 7888 8224 8738 8744 9280 9860 10280 10930 12484 14906 15605 15776 16448 17476 17488 18581 19720 20560 21845 21860 24968 29812 31210 31552 31697 34952 34976 37162 37265 39440 41120 43690 43720 49936 53057 59624 62420 63394 69904 69952 74324 74530 78880 82240 87380 87440 90509 92905 99872 106114 119248 124840 126701 126788 139808 148648 149060 157760 158485 174760 174880 181018 185810 199744 212228 238496 249680 253402 253576 265285 279616 280901 297296 298120 316970 349520 349760 362036 371620 424456 452545 476992 499360 506804 507152 530570 538849 561802 594592 596240 633505 633940 699040 724072 743240 802097 848912 905090 998720 1013608 1014304 1061140 1077698 1123604 1189184 1192480 1267010 1267880 1398080 1404505 1448144 1486480 1538653 1604194 1697824 1810180 2027216 2028608 2122280 2155396 2247208 2384960 2534020 2535760 2694245 2809010 2896288 2972960 3077306 3208388 3395648 3411253 3620360 4010485 4054432 4244560 4310792 4494416 4775317 5068040 5071520 5388490 5618020 5792576 5945920 6154612 6416776 6822506 7240720 7693265 8020970 8108864 8146129 8489120 8621584 8988832 9550634 10136080 10143040 10776980 11236040 12309224 12833552 13635649 13645012 14481440 15386530 16041940 16292258 16978240 17056265 17243168 17977664 19101268 20272160 21553960 22472080 23260813 23876585 24618448 25667104 27271298 27290024 28962880 30773060 32083880 32584516 34112530 34486336 38202536 40544320 40730645 43107920 44944160 46521626 47753170 49236896 51334208 54542596 54580048 57991301 61546120 64167760 65169032 68178245 68225060 76405072 81461290 86215840 89888320 93043252 95506340 98473792 98926337 109085192 109160096 115982602 116304065 123092240 128335520 130338064 136356490 136450120 138484193 152810144 162922580 172431680 186086504 191012680 197852674 218170384 218320192 231965204 232608130 246184480 256671040 260676128 272712980 272900240 276968386 289956505 305620288 325845160 372173008 382025360 395433821 395705348 436340768 463930408 465216260 492368960 494631685 521352256 545425960 545800480 553936772 579913010 651690320 692420965 744346016 764050720 790867642 791410696 872681536 876692021 927860816 930432520 989263370 1090851920 1091600960 1107873544 1159826020 1303380640 1384841930 1488692032 1528101440 1581735284 1582821392 1681747729 1753384042 1855721632 1860865040 1977169105 1978526740 2181703840 2215747088 2319652040 2606761280 2769683860 3163470568 3165642784 3363495458 3506768084 3711443264 3721730080 3954338210 3957053480 4363407680 4383460105 4431494176 4639304080 5539367720 6326941136 6331285568 6726990916 7013536168 7443460160 7908676420 7914106960 8408738645 8766920210 8862988352 9278608160 11078735440 12653882272 13453981832 14027072336 14903764357 15817352840 15828213920 16817477290 17533840420 18557216320 22157470880 25307764544 25424068609 26907963664 28054144672 29807528714 31634705680 31656427840 33634954580 35067680840 44314941760 50848137218 53815927328 56108289344 59615057428 63269411360 67269909160 70135361680 74518821785 101696274436 107631854656 119230114856 126538822720 127120343045 134539818320 140270723360 149037643570 203392548872 238460229712 254240686090 269079636640 280541446720 298075287140 406785097744 432209166353 476920459424 508481372180 538159273280 596150574280 813570195488 864418332706 953840918848 1016962744360 1192301148560 1627140390976 1728836665412 2033925488720 2161045831765 2384602297120 3457673330824 4067850977440 4322091663530 4769204594240 6915346661648 8135701954880 8644183327060 13830693323296 17288366654120 27661386646592 34576733308240 69153466616480 138306933232960
- Sum of all divisors σ(n): 362592367341120
- Sum of proper divisors (its aliquot sum) s(n): 224285434108160
- 138306933232960 is an abundant number, because the sum of its proper divisors (224285434108160) is greater than itself. Its abundance is 85978500875200
Bases of 138306933232960
- Binary: 111110111001010000101111010000000010101010000002
- Hexadecimal: 0x7DCA17A01540
- Base-36: 1D0XBT2FR4
Squares and roots of 138306933232960
- 138306933232960 squared (1383069332329602) is 19128807780306455277630361600
- 138306933232960 cubed (1383069332329603) is 2645646740496970690050910642053741838336000
-
The
square root of 138306933232960 is 11760396.8144344519 -
The
cube root of 138306933232960 is 51714.7763114451
Scales and comparisons
How big is 138306933232960?- 138,306,933,232,960 seconds is equal to 4,397,732 years, 34 weeks, 4 days, 4 hours, 42 minutes, 40 seconds.
-
To count from 1 to 138,306,933,232,960 would take you about ten million, nine hundred ninety-four thousand, three hundred thirty-one 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 138306933232960 cubic inches would be around 4309.6 feet tall.
Recreational maths with 138306933232960
- 138306933232960 backwards is 069232339603831
- 138306933232960 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138306933232960's digits is 58
- More coming soon!
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