12642589440
12,642,589,440 is an even composite number composed of seven prime numbers multiplied together.
12642589440 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 12642589440:
28 × 32 × 5 × 13 × 29 × 41 × 71
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 29 × 41 × 71)See below for interesting mathematical facts about the number 12642589440 from the Numbermatics database.
Names of 12642589440
- Cardinal: 12642589440 can be written as Twelve billion, six hundred forty-two million, five hundred eighty-nine thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.264258944 × 1010
Factors of 12642589440
Divisors of 12642589440
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 29 30 32 36 39 40 41 45 48 52 58 60 64 65 71 72 78 80 82 87 90 96 104 116 117 120 123 128 130 142 144 145 156 160 164 174 180 192 195 205 208 213 232 234 240 246 256 260 261 284 288 290 312 320 328 348 355 360 369 377 384 390 410 416 426 435 464 468 480 492 520 522 533 568 576 580 585 615 624 639 640 656 696 710 720 738 754 768 780 820 832 852 870 923 928 936 960 984 1040 1044 1065 1066 1131 1136 1152 1160 1170 1189 1230 1248 1278 1280 1305 1312 1392 1420 1440 1476 1508 1560 1599 1640 1664 1704 1740 1845 1846 1856 1872 1885 1920 1968 2059 2080 2088 2130 2132 2262 2272 2304 2320 2340 2378 2460 2496 2556 2610 2624 2665 2769 2784 2840 2880 2911 2952 3016 3120 3195 3198 3280 3328 3393 3408 3480 3567 3690 3692 3712 3744 3770 3840 3936 4118 4160 4176 4260 4264 4524 4544 4615 4640 4680 4756 4797 4920 4992 5112 5220 5248 5330 5538 5568 5655 5680 5760 5822 5904 5945 6032 6177 6240 6390 6396 6560 6786 6816 6960 7134 7380 7384 7424 7488 7540 7872 7995 8236 8307 8320 8352 8520 8528 8733 9048 9088 9230 9280 9360 9512 9594 9840 9984 10224 10295 10440 10496 10660 10701 11076 11136 11310 11360 11520 11644 11808 11890 12064 12354 12480 12780 12792 13120 13572 13632 13845 13920 14268 14555 14760 14768 14976 15080 15457 15744 15990 16472 16614 16640 16704 16965 17040 17056 17466 17835 18096 18176 18460 18531 18560 18720 19024 19188 19680 20448 20590 20880 21320 21402 22152 22272 22620 22720 23288 23616 23780 23985 24128 24708 24960 25560 25584 26199 26240 26767 27144 27264 27690 27840 28536 29110 29520 29536 29952 30160 30885 30914 31488 31980 32944 33228 33408 33930 34080 34112 34932 35670 36192 36920 37062 37120 37440 37843 38048 38376 39360 40896 41180 41535 41760 42640 42804 43665 44304 45240 45440 46371 46576 47232 47560 47970 48256 49416 49920 51120 51168 52398 52480 53505 53534 54288 54528 55380 55680 57072 58220 59040 59072 60320 61770 61828 63960 65888 66456 66816 67860 68160 68224 69864 71340 72384 73840 74124 74880 75686 76096 76752 77285 78720 80301 81792 82360 83070 83520 84419 85280 85608 87330 88608 90480 90880 92655 92742 93152 94464 95120 95940 96512 98832 102240 102336 104796 107010 107068 108576 110760 111360 113529 114144 116440 118080 118144 120640 123540 123656 127920 130995 131776 132912 133835 135720 136320 136448 139113 139728 142680 144768 147680 148248 149760 151372 152192 153504 154570 157440 160602 163584 164720 166140 167040 168838 170560 171216 174660 177216 180960 185310 185484 186304 189215 190240 191880 197664 204480 204672 209592 214020 214136 217152 221520 227058 228288 231855 232880 236160 236288 240903 241280 247080 247312 253257 255840 261990 263552 265824 267670 271440 272640 278226 279456 285360 289536 295360 296496 302744 304384 307008 309140 321204 329440 332280 334080 337676 340587 341120 342432 349320 354432 361920 370620 370968 372608 378430 380480 383760 395328 401505 408960 409344 419184 422095 428040 428272 434304 443040 454116 456576 463710 465760 472320 481806 482560 494160 494624 506514 511680 523980 527104 531648 535340 542880 556452 558912 567645 570720 590720 592992 605488 614016 618280 642408 658880 664560 675352 681174 682240 684864 695565 698640 708864 723840 741240 741936 745216 756860 759771 760960 767520 790656 803010 817920 838368 844190 856080 856544 868608 886080 908232 913152 927420 931520 963612 988320 989248 1013028 1023360 1047960 1063296 1070680 1085760 1097447 1112904 1117824 1135290 1141440 1181440 1185984 1204515 1210976 1228032 1236560 1266285 1284816 1317760 1329120 1350704 1362348 1369728 1391130 1397280 1447680 1482480 1483872 1513720 1519542 1521920 1535040 1581312 1606020 1676736 1688380 1702935 1712160 1713088 1772160 1816464 1854840 1863040 1927224 1976640 1978496 2026056 2046720 2095920 2126592 2141360 2171520 2194894 2225808 2235648 2270580 2282880 2371968 2409030 2421952 2473120 2532570 2569632 2635520 2658240 2701408 2724696 2739456 2782260 2794560 2964960 2967744 3027440 3039084 3070080 3212040 3292341 3353472 3376760 3405870 3424320 3426176 3544320 3632928 3709680 3726080 3798855 3854448 3953280 3956992 4052112 4191840 4282720 4343040 4389788 4451616 4541160 4565760 4743936 4818060 4843904 4946240 5065140 5139264 5316480 5402816 5449392 5487235 5564520 5589120 5929920 5935488 6054880 6078168 6140160 6424080 6584682 6706944 6753520 6811740 6848640 6852352 7265856 7419360 7597710 7708896 7906560 8104224 8383680 8565440 8779576 8903232 9082320 9636120 9687808 9877023 9892480 10130280 10278528 10632960 10805632 10898784 10974470 11129040 11178240 11859840 11870976 12109760 12156336 12848160 13169364 13507040 13623480 13697280 14531712 14838720 15195420 15417792 16208448 16461705 16767360 17130880 17559152 17806464 18164640 19272240 19754046 19784960 20260560 20557056 21611264 21797568 21948940 22258080 23719680 24219520 24312672 25696320 26338728 27014080 27246960 29063424 29677440 30390840 30835584 32416896 32923410 33534720 34261760 35118304 35612928 36329280 38544480 39508092 40521120 43595136 43897880 44516160 48439040 48625344 49385115 51392640 52677456 54028160 54493920 59354880 60781680 61671168 64833792 65846820 70236608 72658560 77088960 79016184 81042240 87190272 87795760 89032320 97250688 98770230 102785280 105354912 108056320 108987840 121563360 131693640 140473216 145317120 154177920 158032368 162084480 175591520 178064640 194501376 197540460 210709824 217975680 243126720 263387280 280946432 308355840 316064736 324168960 351183040 395080920 421419648 435951360 486253440 526774560 632129472 702366080 790161840 842839296 972506880 1053549120 1264258944 1404732160 1580323680 2107098240 2528517888 3160647360 4214196480 6321294720 12642589440
- Sum of all divisors σ(n): 50622848640
- Sum of proper divisors (its aliquot sum) s(n): 37980259200
- 12642589440 is an abundant number, because the sum of its proper divisors (37980259200) is greater than itself. Its abundance is 25337669760
Bases of 12642589440
- Binary: 10111100011000111010011011000000002
- Hexadecimal: 0x2F18E9B00
- Base-36: 5T32KG0
Squares and roots of 12642589440
- 12642589440 squared (126425894402) is 159835067748399513600
- 12642589440 cubed (126425894403) is 2020729139657600267540496384000
-
The
square root of 12642589440 is 112439.2700083027 -
The
cube root of 12642589440 is 2329.5856275279
Scales and comparisons
How big is 12642589440?- 12,642,589,440 seconds is equal to 401 years, 51 weeks, 5 days, 6 hours, 24 minutes.
-
To count from 1 to 12,642,589,440 would take you about eight hundred three 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 12642589440 cubic inches would be around 194.1 feet tall.
Recreational maths with 12642589440
- 12642589440 backwards is 04498524621
- 12642589440 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 12642589440's digits is 45
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 12642589440 - Facts about the integer". Numbermatics.com. 2024. Web. 29 May 2024.
APA style:
Numbermatics. (2024). Number 12642589440 - Facts about the integer. Retrieved 29 May 2024, from https://numbermatics.com/n/12642589440/
Chicago style:
Numbermatics. 2024. "Number 12642589440 - Facts about the integer". https://numbermatics.com/n/12642589440/
The information we have on file for 12642589440 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!
Keywords: Divisors of 12642589440, math, Factors of 12642589440, curriculum, school, college, exams, university, Prime factorization of 12642589440, STEM, science, technology, engineering, physics, economics, calculator, twelve billion, six hundred forty-two million, five hundred eighty-nine thousand, four hundred forty.