12988007825408
12,988,007,825,408 is an even composite number composed of six prime numbers multiplied together.
What does the number 12988007825408 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1080 divisors.
12988007825408 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 12988007825408:
214 × 72 × 112 × 19 × 31 × 227
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 11 × 11 × 19 × 31 × 227)See below for interesting mathematical facts about the number 12988007825408 from the Numbermatics database.
Names of 12988007825408
- Cardinal: 12988007825408 can be written as Twelve trillion, nine hundred eighty-eight billion, seven million, eight hundred twenty-five thousand, four hundred eight.
Scientific notation
- Scientific notation: 1.2988007825408 × 1013
Factors of 12988007825408
Divisors of 12988007825408
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 4 7 8 11 14 16 19 22 28 31 32 38 44 49 56 62 64 76 77 88 98 112 121 124 128 133 152 154 176 196 209 217 224 227 242 248 256 266 304 308 341 352 392 418 434 448 454 484 496 512 532 539 589 608 616 682 704 784 836 847 868 896 908 931 968 992 1024 1064 1078 1178 1216 1232 1364 1408 1463 1519 1568 1589 1672 1694 1736 1792 1816 1862 1936 1984 2048 2128 2156 2299 2356 2387 2432 2464 2497 2728 2816 2926 3038 3136 3178 3344 3388 3472 3584 3632 3724 3751 3872 3968 4096 4123 4256 4312 4313 4598 4712 4774 4864 4928 4994 5456 5632 5852 5929 6076 6272 6356 6479 6688 6776 6944 7037 7168 7264 7448 7502 7744 7936 8192 8246 8512 8624 8626 9196 9424 9548 9728 9856 9988 10241 10912 11123 11264 11704 11858 12152 12544 12712 12958 13376 13552 13888 14074 14336 14528 14896 15004 15488 15872 16093 16384 16492 16709 17024 17248 17252 17479 18392 18848 19096 19456 19712 19976 20482 21824 22246 22528 23408 23716 24304 25088 25424 25916 26257 26752 27104 27467 27776 28148 28672 28861 29056 29792 30008 30191 30976 31744 32186 32984 33418 34048 34496 34504 34958 36784 37696 38192 38912 39424 39952 40964 43648 44492 45056 45353 46816 47432 47443 48608 49259 50176 50848 51832 52514 53504 54208 54934 55552 56296 57344 57722 58112 59584 60016 60382 61952 63488 64372 65968 66836 68096 68992 69008 69916 71269 73568 75392 76384 77407 77824 78848 79904 81928 87296 88984 90112 90706 93632 94864 94886 97216 98518 100352 101696 103664 105028 107008 108416 109868 111104 112592 112651 114688 115444 116224 119168 120032 120764 122353 123904 126976 128744 131936 133672 133703 136192 137984 138016 139832 142538 147136 150784 152768 154814 155648 157696 159808 163856 174592 177968 180224 181412 183799 187264 189728 189772 192269 194432 197036 200704 203392 207328 210056 211337 214016 216832 219736 222208 225184 225302 230888 232448 238336 240064 241528 244706 247808 253952 257488 263872 267344 267406 272384 275968 276032 279664 285076 294272 301568 305536 309628 311296 315392 317471 319616 327712 332101 344813 349184 355936 362824 367598 374528 379456 379544 384538 388864 394072 401408 406784 414656 420112 422674 428032 433664 439472 444416 450368 450604 461776 464896 476672 480128 483056 489412 495616 498883 507904 514976 521873 527744 534688 534812 541849 544768 551936 552064 559328 570152 588544 603136 611072 619256 630784 634942 639232 655424 664202 689626 698368 711872 725648 735196 749056 758912 759088 769076 777728 788144 802816 813568 829312 840224 845348 851477 856064 867328 878944 888832 900736 901208 923552 929792 935921 953344 960256 966112 978824 991232 997766 1029952 1043746 1055488 1069376 1069624 1083698 1089536 1103872 1104128 1118656 1140304 1177088 1206272 1222144 1238512 1261568 1269884 1278464 1310848 1328404 1345883 1379252 1396736 1423744 1451296 1470392 1470733 1498112 1517824 1518176 1538152 1555456 1576288 1627136 1658624 1680448 1690696 1702954 1712128 1734656 1757888 1777664 1801472 1802416 1847104 1859584 1871842 1906688 1920512 1932224 1957648 1982464 1995532 2059904 2087492 2110976 2138752 2139248 2167396 2179072 2207744 2208256 2237312 2280608 2324707 2354176 2412544 2444288 2477024 2539768 2556928 2621696 2656808 2691766 2758504 2793472 2847488 2902592 2940784 2941466 2996224 3035648 3036352 3076304 3110912 3152576 3254272 3317248 3360896 3381392 3405908 3424256 3469312 3492181 3515776 3555328 3602944 3604832 3653111 3694208 3719168 3743684 3792943 3813376 3841024 3864448 3915296 3991064 4119808 4174984 4221952 4277504 4278496 4334792 4415488 4416512 4474624 4561216 4649414 4708352 4825088 4888576 4954048 5079536 5113856 5243392 5313616 5383532 5517008 5586944 5694976 5805184 5881568 5882932 5960339 5992448 6071296 6072704 6152608 6221824 6305152 6508544 6551447 6634496 6721792 6762784 6811816 6938624 6984362 7031552 7205888 7209664 7306222 7388416 7487368 7585886 7626752 7682048 7728896 7830592 7982128 8239616 8349968 8443904 8555008 8556992 8669584 8830976 8833024 8949248 9122432 9298828 9416704 9650176 9777152 9908096 10159072 10227712 10295131 10486784 10627232 10767064 11034016 11389952 11610368 11763136 11765864 11920678 11984896 12142592 12145408 12305216 12443648 12610304 13017088 13102894 13268992 13443584 13525568 13623632 13877248 13968724 14063104 14411776 14419328 14612444 14776832 14974736 15171772 15253504 15364096 15457792 15661184 15964256 16178063 16479232 16699936 16887808 17110016 17113984 17339168 17666048 17898496 18244864 18597656 18833408 19554304 19816192 20318144 20455424 20590262 20973568 21254464 21534128 22068032 22779904 23220736 23526272 23531728 23841356 23969792 24285184 24290816 24610432 24887296 25220608 25571777 26034176 26205788 26537984 26887168 27051136 27247264 27937448 28126208 28823552 28838656 29224888 29553664 29949472 30343544 30728192 30915584 31322368 31928512 32356126 32958464 33399872 33775616 34220032 34227968 34678336 35332096 35796992 36489728 37195312 37666816 39108608 39632384 40636288 40910848 41180524 41722373 41947136 42508928 43068256 44136064 45559808 46441472 47052544 47063456 47682712 48570368 48581632 49220864 50441216 51143554 52411576 53075968 53774336 54102272 54494528 55874896 56252416 57647104 57677312 58449776 59107328 59898944 60687088 61456384 61831168 62644736 63857024 64712252 65916928 66799744 67551232 68440064 68455936 69356672 70664192 71593984 72065917 72979456 74390624 79264768 81272576 82361048 83444746 83894272 85017856 86136512 88272128 91119616 92882944 94105088 94126912 95365424 97140736 97163264 98441728 100882432 102287108 104823152 106151936 107548672 108204544 108989056 111749792 112504832 113246441 115294208 115354624 116899552 118214656 119797888 121374176 123662336 125289472 127714048 129424504 131833856 133599488 136880128 136911872 138713344 143187968 144131834 145958912 148781248 158529536 162545152 164722096 166889492 167788544 170035712 172273024 176544256 182239232 185765888 188210176 188253824 190730848 194326528 196883456 201764864 204574216 209646304 215097344 216409088 217978112 223499584 225009664 226492882 230709248 233799104 236429312 239595776 242748352 247324672 250578944 255428096 258849008 263667712 267198976 273760256 273823744 277426688 286375936 288263668 291917824 297562496 317059072 325090304 329444192 333778984 340071424 344546048 353088512 371531776 376420352 376507648 381461696 388653056 393766912 403529728 409148432 419292608 430194688 432818176 435956224 446999168 450019328 452985764 461418496 467598208 472858624 479191552 485496704 494649344 501157888 510856192 517698016 534397952 547647488 554853376 576527336 583835648 595124992 634118144 650180608 658888384 667557968 680142848 689092096 706177024 743063552 752840704 753015296 762923392 777306112 787533824 792725087 807059456 818296864 838585216 865636352 871912448 893998336 905971528 922836992 935196416 958383104 970993408 1002315776 1021712384 1035396032 1068795904 1095294976 1109706752 1153054672 1167671296 1190249984 1268236288 1300361216 1317776768 1335115936 1360285696 1378184192 1412354048 1505681408 1506030592 1525846784 1575067648 1585450174 1636593728 1677170432 1731272704 1743824896 1787996672 1811943056 1845673984 1870392832 1916766208 1941986816 2004631552 2043424768 2070792064 2137591808 2190589952 2219413504 2306109344 2380499968 2600722432 2635553536 2670231872 2720571392 2756368384 2824708096 3011362816 3012061184 3051693568 3150135296 3170900348 3273187456 3354340864 3462545408 3487649792 3575993344 3623886112 3740785664 3833532416 3883973632 4086849536 4141584128 4275183616 4438827008 4612218688 4760999936 5201444864 5271107072 5340463744 5441142784 5512736768 5649416192 6024122368 6103387136 6341800696 6546374912 6708681728 6975299584 7151986688 7247772224 7481571328 7667064832 7767947264 8173699072 8283168256 8550367232 8877654016 9224437376 9521999872 10542214144 10680927488 11025473536 12048244736 12206774272 12683601392 13092749824 13417363456 13950599168 14303973376 14495544448 14963142656 15334129664 15535894528 16566336512 18448874752 19043999744 21084428288 21361854976 22050947072 24096489472 24413548544 25367202784 26185499648 26834726912 28607946752 28991088896 29926285312 31071789056 33132673024 36897749504 38087999488 42168856576 42723709952 48827097088 50734405568 52370999296 53669453824 57215893504 57982177792 59852570624 62143578112 66265346048 73795499008 84337713152 85447419904 97654194176 101468811136 104741998592 107338907648 115964355584 132530692096 147590998016 168675426304 170894839808 202937622272 209483997184 231928711168 265061384192 295181996032 341789679616 405875244544 418967994368 463857422336 590363992064 683579359232 811750489088 927714844672 1180727984128 1623500978176 1855429689344 3247001956352 6494003912704 12988007825408
- Sum of all divisors σ(n): 36247495011840
- Sum of proper divisors (its aliquot sum) s(n): 23259487186432
- 12988007825408 is an abundant number, because the sum of its proper divisors (23259487186432) is greater than itself. Its abundance is 10271479361024
Bases of 12988007825408
- Binary: 101111010000000000011001011111000000000000002
- Hexadecimal: 0xBD00197C000
- Base-36: 4LQLWIOE8
Squares and roots of 12988007825408
- 12988007825408 squared (129880078254082) is 168688347272859445010366464
- 12988007825408 cubed (129880078254083) is 2190925574435040727607123494113810317312
-
The
square root of 12988007825408 is 3603887.8763646351 -
The
cube root of 12988007825408 is 23506.1144948801
Scales and comparisons
How big is 12988007825408?- 12,988,007,825,408 seconds is equal to 412,978 years, 24 weeks, 4 days, 15 hours, 30 minutes, 8 seconds.
-
To count from 1 to 12,988,007,825,408 would take you about one million, thirty-two thousand, four hundred forty-six 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 12988007825408 cubic inches would be around 1958.8 feet tall.
Recreational maths with 12988007825408
- 12988007825408 backwards is 80452870088921
- 12988007825408 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 12988007825408's digits is 62
- More coming soon!
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The information we have on file for 12988007825408 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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