138244407318675297920
138,244,407,318,675,297,920 is an even composite number composed of eight prime numbers multiplied together.
138244407318675297920 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 138244407318675297920:
27 × 5 × 73 × 19 × 31 × 73 × 2801 × 5229043
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 7 × 19 × 31 × 73 × 2801 × 5229043)See below for interesting mathematical facts about the number 138244407318675297920 from the Numbermatics database.
Names of 138244407318675297920
- Cardinal: 138244407318675297920 can be written as One hundred thirty-eight quintillion, two hundred forty-four quadrillion, four hundred seven trillion, three hundred eighteen billion, six hundred seventy-five million, two hundred ninety-seven thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.3824440731867529792 × 1020
Factors of 138244407318675297920
Divisors of 138244407318675297920
- Number of divisors d(n): 2048
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 19 20 28 31 32 35 38 40 49 56 62 64 70 73 76 80 95 98 112 124 128 133 140 146 152 155 160 190 196 217 224 245 248 266 280 292 304 310 320 343 365 380 392 434 448 490 496 511 532 560 584 589 608 620 640 665 686 730 760 784 868 896 931 980 992 1022 1064 1085 1120 1168 1178 1216 1240 1330 1372 1387 1460 1519 1520 1568 1715 1736 1862 1960 1984 2044 2128 2170 2240 2263 2336 2356 2432 2480 2555 2660 2744 2774 2801 2920 2945 3038 3040 3136 3430 3472 3577 3724 3920 3968 4088 4123 4256 4340 4480 4526 4655 4672 4712 4960 5110 5320 5488 5548 5602 5840 5890 6076 6080 6272 6517 6860 6935 6944 7154 7448 7595 7840 8176 8246 8512 8680 9052 9310 9344 9424 9709 9920 10220 10633 10640 10976 11096 11204 11315 11680 11780 12152 12160 13034 13720 13870 13888 14005 14308 14896 15190 15680 15841 16352 16492 17024 17360 17885 18104 18620 18848 19418 19607 19840 20440 20615 21266 21280 21952 22192 22408 22630 23360 23560 24304 25039 26068 27440 27740 27776 28010 28616 28861 29792 30380 31360 31682 32585 32704 32984 34720 35770 36208 37240 37696 38836 39214 40880 41230 42532 42560 42997 43904 44384 44816 45260 46720 47120 48545 48608 50078 52136 53165 53219 54880 55480 56020 57232 57722 59584 60760 63364 65170 65408 65968 67963 69440 71540 72416 74480 75392 77672 78428 79205 81760 82460 85064 85120 85994 86831 88768 89632 90520 94240 97090 97216 98035 100156 104272 106330 106438 109760 110887 110960 112040 114464 115444 119168 121520 125195 126728 130340 131936 135926 137249 138880 143080 144305 144832 148960 155344 156856 158410 163520 164920 170128 171988 173662 177536 179264 181040 188480 194180 194432 196070 200312 202027 204473 208544 212660 212876 214985 219520 221774 221920 224080 228928 230888 243040 250390 253456 260680 263872 266095 271852 274498 286160 288610 289664 297920 300979 310688 313712 316820 327040 329840 339815 340256 343976 347324 358528 362080 372533 376960 388360 392140 400624 404054 408946 417088 425320 425752 429970 434155 443548 443840 448160 457856 461776 475741 486080 500780 506912 521360 527744 532190 543704 548996 554435 572320 577220 595840 601958 607817 621376 627424 633640 659680 679630 680512 686245 687952 694648 724160 745066 776209 776720 784280 801248 808108 817892 834176 850640 851504 859940 868310 887096 887680 896320 923552 951482 960743 972160 1001560 1010135 1013824 1022365 1042720 1064380 1087408 1097992 1108870 1144640 1154440 1203916 1215634 1242752 1254848 1267280 1319360 1359260 1361024 1372490 1375904 1389296 1431311 1448320 1490132 1504895 1552418 1553440 1568560 1602496 1616216 1635784 1649789 1701280 1703008 1719880 1736620 1774192 1792640 1847104 1862665 1902964 1921486 2003120 2020270 2027648 2044730 2085440 2106853 2128760 2174816 2195984 2217740 2289280 2308880 2378705 2407832 2431268 2509696 2534560 2607731 2638720 2718520 2744980 2751808 2778592 2862622 2980264 3009790 3039085 3104836 3106880 3137120 3204992 3232432 3271568 3299578 3402560 3406016 3439760 3473240 3548384 3694208 3725330 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69679640785622630 70532860876875152 74245116712500160 79633875183568720 80608983859285888 88166076096093940 90950267972812696 91010143066935680 94687950218270752 99671526545548160 100761229824107360 103943163397500224 111487425256996208 113687834966015870 117355184481048640 118359937772838440 123432506534531516 127414200293709952 129928954246875280 135268500311815360 139359281571245260 141065721753750304 148490233425000320 154290633168164395 159267750367137440 176332152192187880 181900535945625392 189375900436541504 201522459648214720 207886326795000448 216006886435430153 222974850513992416 227375669932031740 234710368962097280 236719875545676880 246865013069063032 259857908493750560 270537000623630720 278718563142490520 282131443507500608 308581266336328790 318535500734274880 352664304384375760 363801071891250784 378751800873083008 403044919296429440 432013772870860306 445949701027984832 454751339864063480 473439751091353760 493730026138126064 519715816987501120 557437126284981040 564262887015001216 617162532672657580 637071001468549760 705328608768751520 727602143782501568 864027545741720612 891899402055969664 909502679728126960 946879502182707520 987460052276252128 1039431633975002240 1080034432177150765 1114874252569962080 1234325065345315160 1410657217537503040 1455204287565003136 1728055091483441224 1819005359456253920 1893759004365415040 1974920104552504256 2160068864354301530 2229748505139924160 2468650130690630320 2821314435075006080 3456110182966882448 3638010718912507840 3949840209105008512 4320137728708603060 4459497010279848320 4937300261381260640 6912220365933764896 7276021437825015680 8640275457417206120 9874600522762521280 13824440731867529792 17280550914834412240 19749201045525042560 27648881463735059584 34561101829668824480 69122203659337648960 138244407318675297920
- Sum of all divisors σ(n): 424671917421404160000
- Sum of proper divisors (its aliquot sum) s(n): 286427510102728862080
- 138244407318675297920 is an abundant number, because the sum of its proper divisors (286427510102728862080) is greater than itself. Its abundance is 148183102784053564160
Bases of 138244407318675297920
- Binary: 11101111110100001101100110000000001100011100000110110010110100000002
- Hexadecimal: 0x77E86CC018E0D9680
- Base-36: T6BDSG7V0VB7K
Squares and roots of 138244407318675297920
- 138244407318675297920 squared (1382444073186752979202) is 19111516154891804274551412384400756326400
- 138244407318675297920 cubed (1382444073186752979203) is 2642060223794305735458463788652939424650355027788844761088000
-
The
square root of 138244407318675297920 is 11757738188.8982073863 -
The
cube root of 138244407318675297920 is 5170698.2050310201
Scales and comparisons
How big is 138244407318675297920?- 138,244,407,318,675,297,920 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,244,407,318,675,297,920 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 138244407318675297920 cubic inches would be around 430891.5 feet tall.
Recreational maths with 138244407318675297920
- 138244407318675297920 backwards is 029792576813704442831
- The number of decimal digits it has is: 21
- The sum of 138244407318675297920's digits is 92
- More coming soon!
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"Number 138244407318675297920 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
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Numbermatics. (2024). Number 138244407318675297920 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/138244407318675297920/
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Numbermatics. 2024. "Number 138244407318675297920 - Facts about the integer". https://numbermatics.com/n/138244407318675297920/
The information we have on file for 138244407318675297920 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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