13039724390400
13,039,724,390,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 13039724390400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
13039724390400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 13039724390400:
211 × 33 × 52 × 172 × 127 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 17 × 17 × 127 × 257)See below for interesting mathematical facts about the number 13039724390400 from the Numbermatics database.
Names of 13039724390400
- Cardinal: 13039724390400 can be written as Thirteen trillion, thirty-nine billion, seven hundred twenty-four million, three hundred ninety thousand, four hundred.
Scientific notation
- Scientific notation: 1.30397243904 × 1013
Factors of 13039724390400
Divisors of 13039724390400
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 30 32 34 36 40 45 48 50 51 54 60 64 68 72 75 80 85 90 96 100 102 108 120 127 128 135 136 144 150 153 160 170 180 192 200 204 216 225 240 254 255 256 257 270 272 288 289 300 306 320 340 360 381 384 400 408 425 432 450 459 480 508 510 512 514 540 544 576 578 600 612 635 640 675 680 720 762 765 768 771 800 816 850 864 867 900 918 960 1016 1020 1024 1028 1080 1088 1143 1152 1156 1200 1224 1270 1275 1280 1285 1350 1360 1440 1445 1524 1530 1536 1542 1600 1632 1700 1728 1734 1800 1836 1905 1920 2032 2040 2048 2056 2159 2160 2176 2286 2295 2304 2312 2313 2400 2448 2540 2550 2560 2570 2601 2700 2720 2880 2890 3048 3060 3072 3084 3175 3200 3264 3400 3429 3456 3468 3600 3672 3810 3825 3840 3855 4064 4080 4112 4318 4320 4335 4352 4369 4572 4590 4608 4624 4626 4800 4896 5080 5100 5120 5140 5202 5400 5440 5715 5760 5780 6096 6120 6144 6168 6350 6400 6425 6477 6528 6800 6858 6912 6936 6939 7200 7225 7344 7620 7650 7680 7710 7803 8128 8160 8224 8636 8640 8670 8704 8738 9144 9180 9216 9248 9252 9525 9600 9792 10160 10200 10240 10280 10404 10795 10800 10880 11430 11475 11520 11560 11565 12192 12240 12336 12700 12800 12850 12954 13005 13056 13107 13600 13716 13824 13872 13878 14400 14450 14688 15240 15300 15360 15420 15606 16256 16320 16448 17145 17272 17280 17340 17408 17476 18288 18360 18432 18496 18504 19050 19200 19275 19431 19584 20320 20400 20560 20808 21590 21600 21675 21760 21845 22860 22950 23040 23120 23130 24384 24480 24672 25400 25600 25700 25908 26010 26112 26214 27200 27432 27648 27744 27756 28575 28800 28900 29376 30480 30600 30720 30840 31212 32385 32512 32639 32640 32896 34290 34544 34560 34680 34695 34816 34952 36576 36703 36720 36992 37008 38100 38400 38550 38862 39015 39168 39321 40640 40800 41120 41616 43180 43200 43350 43520 43690 45720 45900 46080 46240 46260 48768 48960 49344 50800 51200 51400 51816 52020 52224 52428 53975 54400 54864 55296 55488 55512 57150 57600 57800 57825 58293 58752 60960 61200 61680 62424 64770 65024 65025 65278 65280 65535 65792 68580 69088 69120 69360 69390 69904 73152 73406 73440 73984 74016 74273 76200 76800 77100 77724 78030 78336 78642 81280 81600 82240 83232 85725 86360 86400 86700 87040 87380 91440 91800 92160 92480 92520 97155 97536 97917 97920 98688 101600 102800 103632 104040 104448 104856 107950 108800 109225 109728 110109 110976 111024 114300 115200 115600 115650 116586 117504 117963 121920 122400 123360 124848 129540 130048 130050 130556 130560 131070 131584 137160 138176 138240 138720 138780 139808 146304 146812 146880 147968 148032 148546 152400 153600 154200 155448 156060 156672 157284 161925 162560 163195 163200 164480 166464 171450 172720 172800 173400 173475 174080 174760 182880 183515 183600 184960 185040 194310 195072 195075 195834 195840 196605 197376 203200 205600 207264 208080 209712 215900 217600 218450 219456 220218 221952 222048 222819 228600 230400 231200 231300 233172 235008 235926 243840 244800 246720 249696 259080 260096 260100 261112 261120 262140 263168 274320 276352 276480 277440 277560 279616 291465 292608 293624 293751 293760 295936 296064 297092 304800 308400 310896 312120 313344 314568 323850 325120 326390 326400 327675 328960 330327 332928 342900 345440 345600 346800 346950 349520 365760 367030 367200 369920 370080 371365 388620 390144 390150 391668 391680 393210 394752 406400 411200 414528 416160 419424 431800 435200 436900 438912 440436 443904 444096 445638 457200 460800 462400 462600 466344 470016 471852 485775 487680 489585 489600 493440 499392 518160 520200 522224 522240 524280 526336 548640 550545 552704 554863 554880 555120 559232 582930 585216 587248 587502 587520 589815 591872 592128 594184 609600 616800 621792 624240 629136 647700 650240 652780 652800 655350 657920 660654 665856 668457 685800 690880 691200 693600 693900 699040 731520 734060 734400 739840 740160 742730 777240 780288 780300 783336 783360 786420 789504 812800 815975 822400 829056 832320 838848 863600 870400 873800 877824 880872 881253 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120794112 124358400 124844175 125333760 125827200 126845568 128343744 132130800 133167120 133171200 133691400 134215680 140939520 141000480 141490065 142044928 142604160 149230080 149813010 150400512 150922736 150992640 152111104 156667200 158556960 159800544 160429680 165811200 166458900 167111680 167769600 169127424 169788078 171124992 175564800 176174400 176250600 177556160 177638400 178255200 186537600 187919360 188000640 188653420 188740800 190138880 198196200 198973440 199750680 199756800 200534016 200537100 201323520 208889600 211409280 213067392 213906240 221945200 223692800 225503232 225600768 226384104 228166656 234899200 235000800 235816775 237673600 239700816 241588224 248716800 249688350 250667520 251654400 253691136 254682117 256687488 264261600 266334240 267382800 281879040 282000960 282980130 284089856 285208320 298460160 299626020 300801024 301845472 301985280 313334400 317113920 319601088 320859360 331622400 332917800 334223360 335539200 338254848 339576156 342249984 352348800 352501200 355112320 355276800 356510400 373075200 374532525 375838720 376001280 377306840 377481600 380277760 396392400 399501360 399513600 401074200 402647040 417779200 422818560 424470195 426134784 427812480 443890400 451201536 452768208 456333312 469798400 470001600 471633550 475347200 479401632 497433600 499376700 501335040 503308800 507382272 509364234 513374976 528523200 532668480 534765600 563758080 564001920 565960260 568179712 570416640 596920320 599252040 601602048 603690944 603970560 626668800 634227840 639202176 641718720 665835600 671078400 676509696 679152312 684499968 704697600 705002400 707450325 710224640 713020800 746150400 749065050 752002560 754613680 754963200 760555520 792784800 799002720 802148400 835558400 845637120 848940390 852269568 855624960 887780800 902403072 905536416 939596800 940003200 943267100 950694400 958803264 994867200 998753400 1002670080 1006617600 1014764544 1018728468 1026749952 1057046400 1065336960 1069531200 1127516160 1128003840 1131920520 1136359424 1140833280 1198504080 1207381888 1207941120 1253337600 1268455680 1273410585 1278404352 1283437440 1331671200 1358304624 1368999936 1409395200 1410004800 1414900650 1420449280 1426041600 1492300800 1498130100 1504005120 1509227360 1509926400 1585569600 1598005440 1604296800 1671116800 1691274240 1697880780 1704539136 1711249920 1775561600 1804806144 1811072832 1879193600 1880006400 1886534200 1901388800 1917606528 1997506800 2013235200 2029529088 2037456936 2053499904 2114092800 2122350975 2130673920 2139062400 2256007680 2263841040 2281666560 2397008160 2414763776 2506675200 2536911360 2546821170 2556808704 2566874880 2663342400 2716609248 2818790400 2820009600 2829801300 2840898560 2852083200 2984601600 2996260200 3008010240 3018454720 3019852800 3171139200 3196010880 3208593600 3382548480 3395761560 3409078272 3422499840 3551123200 3622145664 3760012800 3773068400 3802777600 3835213056 3995013600 4074913872 4106999808 4228185600 4244701950 4261347840 4278124800 4512015360 4527682080 4794016320 4829527552 5013350400 5073822720 5093642340 5113617408 5133749760 5326684800 5433218496 5637580800 5640019200 5659602600 5681797120 5704166400 5992520400 6036909440 6039705600 6342278400 6367052925 6392021760 6417187200 6791523120 6844999680 7102246400 7244291328 7520025600 7546136800 7670426112 7990027200 8149827744 8456371200 8489403900 8522695680 8556249600 9024030720 9055364160 9588032640 9659055104 10147645440 10187284680 10227234816 10267499520 10653369600 10866436992 11280038400 11319205200 11408332800 11985040800 12073818880 12684556800 12734105850 12784043520 12834374400 13583046240 14204492800 14488582656 15040051200 15092273600 15340852224 15980054400 16299655488 16912742400 16978807800 17045391360 17112499200 18110728320 19176065280 19318110208 20374569360 20534999040 21306739200 21732873984 22560076800 22638410400 23970081600 24147637760 25369113600 25468211700 25568087040 25668748800 27166092480 28408985600 28977165312 30184547200 30681704448 31960108800 32599310976 33957615600 34224998400 36221456640 38352130560 40749138720 42613478400 43465747968 45120153600 45276820800 47940163200 48295275520 50738227200 50936423400 51136174080 51337497600 54332184960 57954330624 60369094400 63920217600 65198621952 67915231200 72442913280 76704261120 81498277440 85226956800 86931495936 90553641600 95880326400 96590551040 101872846800 102674995200 108664369920 120738188800 127840435200 130397243904 135830462400 144885826560 153408522240 162996554880 173862991872 181107283200 191760652800 203745693600 217328739840 241476377600 255680870400 260794487808 271660924800 289771653120 325993109760 362214566400 383521305600 407491387200 434657479680 482952755200 521588975616 543321849600 651986219520 724429132800 767042611200 814982774400 869314959360 1086643699200 1303972439040 1448858265600 1629965548800 2173287398400 2607944878080 3259931097600 4346574796800 6519862195200 13039724390400
- Sum of all divisors σ(n): 51480605030400
- Sum of proper divisors (its aliquot sum) s(n): 38440880640000
- 13039724390400 is an abundant number, because the sum of its proper divisors (38440880640000) is greater than itself. Its abundance is 25401156249600
Bases of 13039724390400
- Binary: 101111011100000011000010001111101000000000002
- Hexadecimal: 0xBDC0C23E800
- Base-36: 4MED785C0
Squares and roots of 13039724390400
- 13039724390400 squared (130397243904002) is 170034412177592651612160000
- 13039724390400 cubed (130397243904003) is 2217201871679481675582892633227264000000
-
The
square root of 13039724390400 is 3611055.8553420355 -
The
cube root of 13039724390400 is 23537.2726100337
Scales and comparisons
How big is 13039724390400?- 13,039,724,390,400 seconds is equal to 414,622 years, 46 weeks, 6 days.
-
To count from 1 to 13,039,724,390,400 would take you about one million, thirty-six thousand, five hundred fifty-seven 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 13039724390400 cubic inches would be around 1961.4 feet tall.
Recreational maths with 13039724390400
- 13039724390400 backwards is 00409342793031
- 13039724390400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13039724390400's digits is 45
- More coming soon!
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"Number 13039724390400 - Facts about the integer". Numbermatics.com. 2024. Web. 16 June 2024.
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Numbermatics. (2024). Number 13039724390400 - Facts about the integer. Retrieved 16 June 2024, from https://numbermatics.com/n/13039724390400/
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The information we have on file for 13039724390400 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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