1313811801702400
1,313,811,801,702,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 1313811801702400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1944 divisors.
1313811801702400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 1313811801702400:
217 × 52 × 7 × 112 × 132 × 2801
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 11 × 11 × 13 × 13 × 2801)See below for interesting mathematical facts about the number 1313811801702400 from the Numbermatics database.
Names of 1313811801702400
- Cardinal: 1313811801702400 can be written as One quadrillion, three hundred thirteen trillion, eight hundred eleven billion, eight hundred one million, seven hundred two thousand, four hundred.
Scientific notation
- Scientific notation: 1.3138118017024 × 1015
Factors of 1313811801702400
Divisors of 1313811801702400
- Number of divisors d(n): 1944
-
Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 20 22 25 26 28 32 35 40 44 50 52 55 56 64 65 70 77 80 88 91 100 104 110 112 121 128 130 140 143 154 160 169 175 176 182 200 208 220 224 242 256 260 275 280 286 308 320 325 338 350 352 364 385 400 416 440 448 455 484 512 520 550 560 572 605 616 640 650 676 700 704 715 728 770 800 832 845 847 880 896 910 968 1001 1024 1040 1100 1120 1144 1183 1210 1232 1280 1300 1352 1400 1408 1430 1456 1540 1573 1600 1664 1690 1694 1760 1792 1820 1859 1925 1936 2002 2048 2080 2200 2240 2275 2288 2366 2420 2464 2560 2600 2704 2800 2801 2816 2860 2912 3025 3080 3146 3200 3328 3380 3388 3520 3575 3584 3640 3718 3850 3872 4004 4096 4160 4225 4235 4400 4480 4550 4576 4732 4840 4928 5005 5120 5200 5408 5600 5602 5632 5720 5824 5915 6050 6160 6292 6400 6656 6760 6776 7040 7150 7168 7280 7436 7700 7744 7865 8008 8192 8320 8450 8470 8800 8960 9100 9152 9295 9464 9680 9856 10010 10240 10400 10816 11011 11200 11204 11264 11440 11648 11830 12100 12320 12584 12800 13013 13312 13520 13552 14005 14080 14300 14336 14560 14872 15400 15488 15730 16016 16384 16640 16900 16940 17600 17920 18200 18304 18590 18928 19360 19607 19712 20020 20449 20480 20800 21175 21632 22022 22400 22408 22528 22880 23296 23660 24200 24640 25025 25168 25600 26026 26624 27040 27104 28010 28160 28600 28672 29120 29575 29744 30800 30811 30976 31460 32032 32768 33280 33800 33880 35200 35840 36400 36413 36608 37180 37856 38720 39214 39325 39424 40040 40898 40960 41600 42350 43264 44044 44800 44816 45056 45760 46475 46592 47320 48400 49280 50050 50336 51200 52052 53248 54080 54208 55055 56020 56320 57200 57344 58240 59150 59488 61600 61622 61952 62920 64064 65065 65536 66560 67600 67760 70025 70400 71680 72800 72826 73216 74360 75712 77440 78428 78650 78848 80080 81796 81920 83200 84700 86528 88088 89600 89632 90112 91520 92950 93184 94640 96800 98035 98560 100100 100672 102245 102400 104104 106496 108160 108416 110110 112040 112640 114400 114688 116480 118300 118976 123200 123244 123904 125840 128128 130130 131072 133120 135200 135520 140050 140800 143143 143360 145600 145652 146432 148720 151424 154055 154880 156856 157300 157696 160160 163592 163840 166400 169400 173056 176176 179200 179264 180224 182065 183040 185900 186368 189280 193600 196070 197120 200200 201344 204490 204800 208208 212992 215677 216320 216832 220220 224080 225280 228800 229376 232960 236600 237952 246400 246488 247808 251680 254891 256256 260260 266240 270400 271040 275275 280100 281600 286286 286720 291200 291304 292864 297440 302848 308110 309760 313712 314600 315392 320320 325325 327184 327680 332800 338800 338921 346112 352352 358400 358528 360448 364130 366080 371800 372736 378560 387200 392140 394240 400400 400543 402688 408980 409600 416416 425984 431354 432640 433664 440440 448160 450560 457600 458752 465920 473200 473369 475904 490175 492800 492976 495616 503360 509782 511225 512512 520520 532480 540800 542080 550550 560200 563200 572572 573440 582400 582608 585728 594880 605696 616220 619520 627424 629200 630784 640640 650650 654368 655360 665600 677600 677842 692224 704704 715715 716800 717056 720896 728260 732160 743600 745472 757120 770275 774400 784280 788480 800800 801086 805376 817960 819200 832832 851968 862708 865280 867328 880880 896320 901120 910325 915200 917504 931840 946400 946738 951808 980350 985600 985952 991232 1006720 1019564 1022450 1025024 1041040 1064960 1078385 1081600 1084160 1101100 1120400 1126400 1145144 1146880 1164800 1165216 1171456 1189760 1211392 1232440 1239040 1254848 1258400 1261568 1274455 1281280 1301300 1308736 1331200 1355200 1355684 1384448 1409408 1431430 1433600 1434112 1441792 1456520 1464320 1487200 1490944 1514240 1540550 1548800 1568560 1576960 1601600 1602172 1610752 1635920 1638400 1665664 1694605 1703936 1725416 1730560 1734656 1761760 1792640 1802240 1820650 1830400 1863680 1892800 1893476 1903616 1960700 1971200 1971904 1982464 2002715 2013440 2039128 2044900 2050048 2082080 2129920 2156770 2163200 2168320 2202200 2240800 2252800 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14663078144 14914764800 15183660800 15511355392 15791007232 16037741720 16062054400 16406241280 16662588800 16704536576 16751820800 16965544960 17352755200 17668259840 17944326400 18040422400 18046865408 18328847680 18662099456 18762039296 19389194240 19435085824 19738759040 20047177150 20192296960 20507801600 20880670720 21206931200 21320499200 21328113664 22085324800 22211526656 22558581760 22911059600 22968737792 23327624320 23452549120 23863623680 24236492800 24293857280 24673448800 25240371200 25660386752 26100838400 26249986048 26660142080 27144871936 27764408320 28198227200 28269215744 28710922240 29159530400 29315686400 29326156288 29829529600 30367321600 31022710784 31582014464 32075483440 32124108800 32812482560 33325177600 33409073152 33503641600 33931089920 34705510400 35336519680 35888652800 36080844800 36093730816 36657695360 37324198912 38778388480 38870171648 39477518080 40094354300 41015603200 41761341440 42413862400 42640998400 42656227328 44170649600 44423053312 45117163520 45822119200 45937475584 46655248640 46905098240 48472985600 48587714560 49346897600 50480742400 51320773504 52201676800 52499972096 53320284160 54289743872 55528816640 56396454400 57421844480 58319060800 58631372800 58652312576 59659059200 60734643200 62045421568 63164028928 64150966880 64248217600 65624965120 66650355200 67007283200 67862179840 69411020800 70673039360 71777305600 72187461632 73315390720 74648397824 77556776960 77740343296 78955036160 80188708600 82031206400 83522682880 84827724800 85312454656 88341299200 90234327040 91644238400 91874951168 93310497280 93810196480 96945971200 97175429120 98693795200 100961484800 102641547008 104403353600 106640568320 108579487744 111057633280 112792908800 114843688960 116638121600 117262745600 117304625152 119318118400 121469286400 126328057856 128301933760 131249930240 133300710400 135724359680 138822041600 141346078720 143554611200 144374923264 146630781440 149296795648 155113553920 155480686592 157910072320 160377417200 164062412800 167045365760 169655449600 170624909312 176682598400 180468654080 183288476800 183749902336 186620994560 193891942400 194350858240 197387590400 205283094016 208806707200 213281136640 217158975488 222115266560 225585817600 229687377920 233276243200 234525491200 234609250304 242938572800 252656115712 256603867520 262499860480 266601420800 271448719360 277644083200 287109222400 288749846528 293261562880 298593591296 310227107840 310961373184 315820144640 320754834400 328124825600 339310899200 341249818624 353365196800 360937308160 366576953600 367499804672 373241989120 387783884800 388701716480 394775180800 410566188032 417613414400 426562273280 434317950976 451171635200 459374755840 466552486400 469050982400 469218500608 485877145600 505312231424 513207735040 533202841600 542897438720 555288166400 574218444800 577499693056 586523125760 597187182592 631640289280 641509668800 656249651200 678621798400 682499637248 706730393600 721874616320 733153907200 746483978240 775567769600 777403432960 789550361600 821132376064 835226828800 853124546560 902343270400 918749511680 933104972800 938437001216 971754291200 1010624462848 1026415470080 1066405683200 1085794877440 1110576332800 1148436889600 1173046251520 1194374365184 1263280578560 1283019337600 1312499302400 1357243596800 1443749232640 1466307814400 1492967956480 1551135539200 1554806865920 1579100723200 1642264752128 1706249093120 1804686540800 1837499023360 1866209945600 1876874002432 1943508582400 2021248925696 2052830940160 2132811366400 2171589754880 2296873779200 2346092503040 2388748730368 2526561157120 2566038675200 2714487193600 2887498465280 2932615628800 2985935912960 3158201446400 3284529504256 3412498186240 3609373081600 3732419891200 3753748004864 3887017164800 4042497851392 4105661880320 4265622732800 4593747558400 4692185006080 4777497460736 5053122314240 5132077350400 5428974387200 5865231257600 5971871825920 6316402892800 6569059008512 7218746163200 7464839782400 7507496009728 7774034329600 8211323760640 8531245465600 9187495116800 9384370012160 10106244628480 10264154700800 10857948774400 11730462515200 11943743651840 12632805785600 13138118017024 14437492326400 14929679564800 16422647521280 17062490931200 18768740024320 20212489256960 20528309401600 23460925030400 23887487303680 25265611571200 26276236034048 29859359129600 32845295042560 37537480048640 41056618803200 46921850060800 50531223142400 52552472068096 59718718259200 65690590085120 82113237606400 93843700121600 101062446284800 119437436518400 131381180170240 164226475212800 187687400243200 262762360340480 328452950425600 656905900851200 1313811801702400
- Sum of all divisors σ(n): 4433643890473392
- Sum of proper divisors (its aliquot sum) s(n): 3119832088770992
- 1313811801702400 is an abundant number, because the sum of its proper divisors (3119832088770992) is greater than itself. Its abundance is 1806020287068592
Bases of 1313811801702400
- Binary: 1001010101011100111101001011011111000000000000000002
- Hexadecimal: 0x4AAE7A5BE0000
- Base-36: CXPGT54934
Squares and roots of 1313811801702400
- 1313811801702400 squared (13138118017024002) is 1726101450292506419538165760000
- 1313811801702400 cubed (13138118017024003) is 2267772456329923494542955654465741389824000000
-
The
square root of 1313811801702400 is 36246541.9275053051 -
The
cube root of 1313811801702400 is 109524.4429271915
Scales and comparisons
How big is 1313811801702400?- 1,313,811,801,702,400 seconds is equal to 41,775,151 years, 21 weeks, 1 day, 7 hours, 6 minutes, 40 seconds.
-
To count from 1 to 1,313,811,801,702,400 would take you about one hundred twenty-five million, three hundred twenty-five thousand, four hundred fifty-four 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 1313811801702400 cubic inches would be around 9127 feet tall.
Recreational maths with 1313811801702400
- 1313811801702400 backwards is 0042071081183131
- 1313811801702400 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 1313811801702400's digits is 40
- More coming soon!
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Numbermatics. (2024). Number 1313811801702400 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/1313811801702400/
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The information we have on file for 1313811801702400 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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