138365137914220
138,365,137,914,220 is an even composite number composed of seven prime numbers multiplied together.
138365137914220 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 138365137914220:
22 × 5 × 73 × 17 × 31 × 73 × 524287
(2 × 2 × 5 × 7 × 7 × 7 × 17 × 31 × 73 × 524287)See below for interesting mathematical facts about the number 138365137914220 from the Numbermatics database.
Names of 138365137914220
- Cardinal: 138365137914220 can be written as One hundred thirty-eight trillion, three hundred sixty-five billion, one hundred thirty-seven million, nine hundred fourteen thousand, two hundred twenty.
Scientific notation
- Scientific notation: 1.3836513791422 × 1014
Factors of 138365137914220
Divisors of 138365137914220
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 4 5 7 10 14 17 20 28 31 34 35 49 62 68 70 73 85 98 119 124 140 146 155 170 196 217 238 245 292 310 340 343 365 434 476 490 511 527 595 620 686 730 833 868 980 1022 1054 1085 1190 1241 1372 1460 1519 1666 1715 2044 2108 2170 2263 2380 2482 2555 2635 3038 3332 3430 3577 3689 4165 4340 4526 4964 5110 5270 5831 6076 6205 6860 7154 7378 7595 8330 8687 9052 10220 10540 10633 11315 11662 12410 14308 14756 15190 15841 16660 17374 17885 18445 21266 22630 23324 24820 25039 25823 29155 30380 31682 34748 35770 36890 38471 42532 43435 45260 50078 51646 53165 58310 60809 63364 71540 73780 76942 79205 86870 100156 103292 106330 110887 116620 121618 125195 129115 153884 158410 173740 180761 192355 212660 221774 243236 250390 258230 269297 304045 316820 361522 384710 425663 443548 500780 516460 524287 538594 554435 608090 723044 769420 776209 851326 903805 1048574 1077188 1108870 1216180 1346485 1552418 1702652 1807610 1885079 2097148 2128315 2217740 2621435 2692970 3104836 3615220 3670009 3770158 3881045 4256630 5242870 5385940 7340018 7540316 7762090 8513260 8912879 9425395 10485740 13195553 14680036 15524180 16252897 17825758 18350045 18850790 25690063 26391106 32505794 35651516 36700090 37701580 38272951 44564395 51380126 52782212 62390153 65011588 65977765 73400180 76545902 81264485 89128790 102760252 113770279 124780306 128450315 131955530 153091804 162528970 178257580 179830441 191364755 227540558 249560612 256900630 263911060 267910657 276299249 311950765 325057940 359660882 382729510 436731071 455081116 513801260 535821314 552598498 568851395 623901530 650640167 719321764 765459020 796391953 873462142 899152205 1071642628 1105196996 1137702790 1186461481 1247803060 1301280334 1339553285 1381496245 1592783906 1746924284 1798304410 1875374599 1934094743 2183655355 2275405580 2372922962 2602560668 2679106570 2762992490 3057117497 3185567812 3253200835 3596608820 3750749198 3868189486 3981959765 4367310710 4554481169 4745845924 5358213140 5525984980 5574743671 5932307405 6114234994 6506401670 7501498396 7736378972 7963919530 8305230367 8734621420 9108962338 9376872995 9670473715 11149487342 11864614810 12228469988 13012803340 13127622193 13538663201 15285587485 15927839060 16610460734 18217924676 18753745990 19340947430 20169845177 22298974684 22772405845 23729229620 26255244386 27077326402 27873718355 30571174970 31881368183 33220921468 37507491980 38681894860 40339690354 41526151835 45544811690 52510488772 54154652804 55747436710 58136612569 61142349940 63762736366 65638110965 67693316005 80679380708 83052303670 91089623380 94770642407 100849225885 111494873420 116273225138 127525472732 131276221930 135386632010 141188916239 159406840915 166104607340 189541284814 201698451770 223169577281 232546450276 262552443860 270773264020 282377832478 290683062845 318813681830 379082569628 403396903540 406956287983 446339154562 473853212035 564755664956 581366125690 637627363660 705944581195 813912575966 892678309124 947706424070 988322413673 1115847886405 1162732251380 1411889162390 1627825151932 1895412848140 1976644827346 2034781439915 2231695772810 2823778324780 3953289654692 4069562879830 4463391545620 4941612068365 6918256895711 8139125759660 9883224136730 13836513791422 19766448273460 27673027582844 34591284478555 69182568957110 138365137914220
- Sum of all divisors σ(n): 375433828761600
- Sum of proper divisors (its aliquot sum) s(n): 237068690847380
- 138365137914220 is an abundant number, because the sum of its proper divisors (237068690847380) is greater than itself. Its abundance is 98703552933160
Bases of 138365137914220
- Binary: 111110111010111101001001110010100001001011011002
- Hexadecimal: 0x7DD7A4E5096C
- Base-36: 1D1O2EMR8S
Squares and roots of 138365137914220
- 138365137914220 squared (1383651379142202) is 19144911390021120932078208400
- 138365137914220 cubed (1383651379142203) is 2648988304835793721645678178505090483448000
-
The
square root of 138365137914220 is 11762871.1594669777 -
The
cube root of 138365137914220 is 51722.0297919331
Scales and comparisons
How big is 138365137914220?- 138,365,137,914,220 seconds is equal to 4,399,583 years, 20 weeks, 3 days, 11 hours, 43 minutes, 40 seconds.
-
To count from 1 to 138,365,137,914,220 would take you about ten million, nine hundred ninety-eight thousand, nine hundred fifty-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 138365137914220 cubic inches would be around 4310.2 feet tall.
Recreational maths with 138365137914220
- 138365137914220 backwards is 022419731563831
- The number of decimal digits it has is: 15
- The sum of 138365137914220's digits is 55
- More coming soon!
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