13140861022771874022400
13,140,861,022,771,874,022,400 is an even composite number composed of seven prime numbers multiplied together.
13140861022771874022400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, five hundred eighty-four divisors.
Prime factorization of 13140861022771874022400:
210 × 52 × 7 × 112 × 53 × 106637 × 107230087
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 11 × 11 × 53 × 106637 × 107230087)See below for interesting mathematical facts about the number 13140861022771874022400 from the Numbermatics database.
Names of 13140861022771874022400
- Cardinal: 13140861022771874022400 can be written as Thirteen sextillion, one hundred forty quintillion, eight hundred sixty-one quadrillion, twenty-two trillion, seven hundred seventy-one billion, eight hundred seventy-four million, twenty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.31408610227718740224 × 1022
Factors of 13140861022771874022400
Divisors of 13140861022771874022400
- Number of divisors d(n): 1584
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Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 25 28 32 35 40 44 50 53 55 56 64 70 77 80 88 100 106 110 112 121 128 140 154 160 175 176 200 212 220 224 242 256 265 275 280 308 320 350 352 371 385 400 424 440 448 484 512 530 550 560 583 605 616 640 700 704 742 770 800 847 848 880 896 968 1024 1060 1100 1120 1166 1210 1232 1280 1325 1400 1408 1484 1540 1600 1694 1696 1760 1792 1855 1925 1936 2120 2200 2240 2332 2420 2464 2560 2650 2800 2816 2915 2968 3025 3080 3200 3388 3392 3520 3584 3710 3850 3872 4081 4235 4240 4400 4480 4664 4840 4928 5120 5300 5600 5632 5830 5936 6050 6160 6400 6413 6776 6784 7040 7168 7420 7700 7744 8162 8470 8480 8800 8960 9275 9328 9680 9856 10600 11200 11264 11660 11872 12100 12320 12800 12826 13552 13568 14080 14575 14840 15400 15488 16324 16940 16960 17600 17920 18550 18656 19360 19712 20405 21175 21200 22400 23320 23744 24200 24640 25600 25652 27104 27136 28160 29150 29680 30800 30976 32065 32648 33880 33920 35200 35840 37100 37312 38720 39424 40810 42350 42400 44800 44891 46640 47488 48400 49280 51304 54208 54272 56320 58300 59360 61600 61952 64130 65296 67760 67840 70400 74200 74624 77440 78848 81620 84700 84800 89600 89782 93280 94976 96800 98560 102025 102608 106637 108416 116600 118720 123200 123904 128260 130592 135520 135680 140800 148400 149248 154880 160325 163240 169400 169600 179200 179564 186560 189952 193600 197120 204050 205216 213274 216832 224455 233200 237440 246400 256520 261184 271040 271360 281600 296800 298496 309760 320650 326480 338800 339200 359128 373120 379904 387200 394240 408100 410432 426548 433664 448910 466400 474880 492800 513040 522368 533185 542080 593600 596992 619520 641300 652960 677600 678400 718256 746240 746459 774400 816200 820864 853096 867328 897820 932800 949760 985600 1026080 1044736 1066370 1084160 1122275 1173007 1187200 1282600 1305920 1355200 1356800 1436512 1492480 1492918 1548800 1632400 1641728 1706192 1795640 1865600 1899520 1971200 2052160 2089472 2132740 2168320 2244550 2346014 2374400 2565200 2611840 2665925 2710400 2873024 2984960 2985836 3097600 3264800 3283456 3412384 3591280 3731200 3732295 4104320 4178944 4265480 4336640 4489100 4692028 4748800 5130400 5223680 5331850 5420800 5651761 5746048 5865035 5971672 6529600 6566912 6824768 7182560 7462400 7464590 8208640 8211049 8530960 8978200 9384056 9497600 10260800 10447360 10663700 10841600 11303522 11492096 11730070 11943344 12903077 13059200 13649536 14365120 14924800 14929180 16417280 16422098 17061920 17956400 18661475 18768112 20521600 20894720 21327400 21683200 22607044 22984192 23460140 23886688 25806154 26118400 27299072 28258805 28730240 29325175 29858360 32834560 32844196 34123840 35912800 37322950 37536224 39562327 41043200 41055245 42654800 45214088 45968384 46920280 47773376 51612308 52236800 54598144 56517610 57460480 58650350 59716720 62169371 64515385 65688392 68247680 71825600 74645900 75072448 79124654 82086400 82110490 85309600 90321539 90428176 93840560 95546752 103224616 104473600 107230087 109196288 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1696908706452979600 1706605327632710912 1771005528675454720 1833267441792951175 1866599577098277560 1937037296988778600 1939324235946262400 2049097305905484800 2053259534808105316 2133256659540888640 2172043144259813888 2213756910844318400 2254007036496033280 2333249471372846950 2346582325494977504 2479407740145636608 2566574418510131645 2666570824426110800 2715053930324767360 2817508795620041600 2933227906868721880 2986559323357244096 3099259675182045760 3102918777514019840 3220010052137190400 3393817412905959200 3413210655265421824 3542011057350909440 3666534883585902350 3733199154196555120 3874074593977557200 3878648471892524800 4106519069616210632 4266513319081777280 4344086288519627776 4427513821688636800 4508014072992066560 4666498942745693900 4693164650989955008 4958815480291273216 5133148837020263290 5333141648852221600 5430107860649534720 5635017591240083200 5866455813737443760 5973118646714488192 6198519350364091520 6787634825811918400 6826421310530843648 7084022114701818880 7333069767171804700 7466398308393110240 7748149187955114400 7757296943785049600 8213038139232421264 8533026638163554560 8855027643377273600 9332997885491387800 9386329301979910016 9917630960582546432 10266297674040526580 10666283297704443200 10860215721299069440 11270035182480166400 11732911627474887520 11946237293428976384 12397038700728183040 12832872092550658225 13575269651623836800 14666139534343609400 14932796616786220480 15496298375910228800 15514593887570099200 16426076278464842528 17066053276327109120 17710055286754547200 18665995770982775600 18772658603959820032 20532595348081053160 21332566595408886400 21720431442598138880 22540070364960332800 23465823254949775040 23892474586857952768 24794077401456366080 25665744185101316450 27150539303247673600 29332279068687218800 29865593233572440960 30992596751820457600 32852152556929685056 34132106552654218240 35420110573509094400 37331991541965551200 37545317207919640064 41065190696162106320 42665133190817772800 46931646509899550080 47784949173715905536 49588154802912732160 51331488370202632900 54301078606495347200 58664558137374437600 59731186467144881920 61985193503640915200 65704305113859370112 74663983083931102400 75090634415839280128 82130381392324212640 85330266381635545600 93863293019799100160 102662976740405265800 108602157212990694400 117329116274748875200 119462372934289763840 123970387007281830400 131408610227718740224 149327966167862204800 164260762784648425280 170660532763271091200 187726586039598200320 205325953480810531600 234658232549497750400 238924745868579527680 247940774014563660800 262817220455437480448 298655932335724409600 328521525569296850560 375453172079196400640 410651906961621063200 469316465098995500800 525634440910874960896 597311864671448819200 657043051138593701120 821303813923242126400 938632930197991001600 1194623729342897638400 1314086102277187402240 1642607627846484252800 1877265860395982003200 2628172204554374804480 3285215255692968505600 6570430511385937011200 13140861022771874022400
- Sum of all divisors σ(n): 41691121505039594504448
- Sum of proper divisors (its aliquot sum) s(n): 28550260482267720482048
- 13140861022771874022400 is an abundant number, because the sum of its proper divisors (28550260482267720482048) is greater than itself. Its abundance is 15409399459495846459648
Bases of 13140861022771874022400
- Binary: 101100100001011110000101001011010011110010000001011110001011000100000000002
- Hexadecimal: 0x2C85E14B4F205E2C400
- Base-36: 251A3NHSRNWWM4G
Squares and roots of 13140861022771874022400
- 13140861022771874022400 squared (131408610227718740224002) is 172682228419805062994296819292055955701760000
- 13140861022771874022400 cubed (131408610227718740224003) is 2269193164767205931387400210730849016690701791692113705959424000000
-
The
square root of 13140861022771874022400 is 114633594651.7070275127 -
The
cube root of 13140861022771874022400 is 23597967.9752215813
Scales and comparisons
How big is 13140861022771874022400?- 13,140,861,022,771,874,022,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,140,861,022,771,874,022,400 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 13140861022771874022400 cubic inches would be around 1966497.3 feet tall.
Recreational maths with 13140861022771874022400
- 13140861022771874022400 backwards is 00422047817722016804131
- 13140861022771874022400 is a
Harshad number . - The number of decimal digits it has is: 23
- The sum of 13140861022771874022400's digits is 70
- More coming soon!
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The information we have on file for 13140861022771874022400 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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