12507460073472
12,507,460,073,472 is an even composite number composed of seven prime numbers multiplied together.
12507460073472 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 12507460073472:
211 × 3 × 7 × 132 × 19 × 41 × 472
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 13 × 13 × 19 × 41 × 47 × 47)See below for interesting mathematical facts about the number 12507460073472 from the Numbermatics database.
Names of 12507460073472
- Cardinal: 12507460073472 can be written as Twelve trillion, five hundred seven billion, four hundred sixty million, seventy-three thousand, four hundred seventy-two.
Scientific notation
- Scientific notation: 1.2507460073472 × 1013
Factors of 12507460073472
Divisors of 12507460073472
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 19 21 24 26 28 32 38 39 41 42 47 48 52 56 57 64 76 78 82 84 91 94 96 104 112 114 123 128 133 141 152 156 164 168 169 182 188 192 208 224 228 246 247 256 266 273 282 287 304 312 328 329 336 338 364 376 384 399 416 448 456 492 494 507 512 532 533 546 564 574 608 611 624 656 658 672 676 728 741 752 768 779 798 832 861 893 896 912 984 987 988 1014 1024 1064 1066 1092 1128 1148 1183 1216 1222 1248 1312 1316 1344 1352 1456 1482 1504 1536 1558 1596 1599 1664 1722 1729 1786 1792 1824 1833 1927 1968 1974 1976 2028 2048 2128 2132 2184 2209 2256 2296 2337 2366 2432 2444 2496 2624 2632 2679 2688 2704 2912 2964 3008 3072 3116 3192 3198 3211 3328 3444 3458 3549 3572 3584 3648 3666 3731 3854 3936 3948 3952 4056 4256 4264 4277 4368 4418 4512 4592 4674 4732 4864 4888 4992 5187 5248 5264 5358 5376 5408 5453 5781 5824 5928 6016 6144 6232 6251 6384 6396 6422 6627 6656 6888 6916 6929 7098 7144 7168 7296 7332 7462 7708 7872 7896 7904 7943 8112 8512 8528 8554 8736 8836 9024 9184 9348 9464 9633 9728 9776 9984 10127 10374 10496 10528 10716 10752 10816 10906 11193 11562 11609 11648 11856 12032 12464 12502 12768 12792 12831 12844 13254 13312 13489 13776 13832 13858 14196 14288 14336 14592 14664 14924 15416 15463 15744 15792 15808 15886 16224 16359 17024 17056 17108 17472 17672 18048 18368 18696 18753 18928 19266 19456 19552 19968 20254 20748 20787 20992 21056 21432 21504 21632 21812 22386 22477 23124 23218 23296 23712 23829 24064 24928 25004 25051 25536 25584 25662 25688 26508 26624 26978 27552 27664 27716 28392 28576 28717 29184 29328 29848 30381 30832 30926 31488 31584 31616 31772 32448 32718 34048 34112 34216 34827 34944 35344 36096 36613 36736 37392 37506 37856 38532 38912 39104 39936 40467 40508 41496 41574 41971 41984 42112 42864 43008 43264 43624 44772 44954 46248 46389 46436 46592 47424 47658 48128 48503 49856 50008 50102 51072 51168 51324 51376 53016 53956 55104 55328 55432 55601 56784 57152 57434 58368 58656 59696 60762 61664 61852 62976 63168 63232 63544 64896 65436 67431 68096 68224 68432 69654 69888 70688 70889 72192 73226 73472 74784 75012 75153 75712 77064 78208 79872 80934 81016 81263 82992 83148 83942 83968 84224 85728 86151 86528 87248 89544 89908 90569 92496 92778 92872 93184 94848 95316 96256 97006 99712 100016 100204 102144 102336 102648 102752 106032 107912 109839 110208 110656 110864 111202 113568 114304 114868 116736 117312 119392 121524 123328 123704 125913 125952 126336 126464 127088 129792 130872 131651 134862 136192 136448 136864 139308 139776 141376 141778 144384 145509 146452 146944 149568 150024 150306 150917 151424 154128 156416 161868 162032 162526 165984 166296 166803 167884 168448 171456 172302 173056 174496 175357 179088 179816 181138 184992 185556 185744 186368 189696 190632 194012 199424 200032 200408 201019 204288 204672 205296 205504 212064 212667 215824 219678 220416 221312 221728 222404 227136 228608 229736 234624 238784 243048 243789 246656 247408 251826 251904 252672 252928 254176 256291 259584 261744 263302 269724 271707 272384 272896 273728 278616 279552 282752 283556 288768 291018 292904 293797 293888 299136 300048 300612 301834 302848 308256 312832 323736 324064 325052 325663 331968 332592 333606 335768 336896 342912 344604 346112 348992 350714 358176 359632 362276 369984 371112 371488 373321 379392 381264 388024 394953 398848 400064 400816 402038 408576 409344 410592 411008 424128 425334 431648 439356 440832 442624 443456 444808 452751 454272 457216 459472 469248 475969 477568 486096 487578 493312 494816 503652 505344 505856 508352 512582 519168 523488 526071 526604 539448 543414 545623 545792 547456 557232 559104 565504 567112 582036 585808 587594 587776 598272 600096 601224 603057 603668 605696 616512 625664 633983 647472 648128 650104 651326 663936 665184 667212 671536 673792 685824 689208 697984 701428 716352 719264 724552 739968 742224 742976 746642 758784 762528 768873 776048 789906 797696 800128 801632 804076 817152 818688 821184 822016 848256 850668 863296 878712 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3911025664 3918377216 4013947392 4071438826 4158065184 4219790848 4295144256 4625539968 4653072944 4668704768 4752074496 4766562528 5011001632 5117618688 5142870096 5286331392 5351929856 5447500032 5544086912 5662046208 5726859008 5866538496 5877565824 6107158239 6167386624 6329686272 6336099328 6355416704 6490638336 6823491584 6857160128 6979609416 7003057152 7233927168 7263333376 7516502448 7822051328 7836754432 8027894784 8142877652 8316130368 8439581696 8590288512 9251079936 9306145888 9504148992 9533125056 10022003264 10235237376 10285740192 10572662784 10895000064 11088173824 11453718016 11733076992 11755131648 12214316478 12334773248 12659372544 12672198656 12710833408 13714320256 13959218832 14006114304 14526666752 15033004896 15673508864 16055789568 16285755304 16632260736 16879163392 17180577024 18502159872 18612291776 19008297984 19066250112 20044006528 20470474752 20571480384 21790000128 22176347648 22907436032 23466153984 23510263296 24428632956 24669546496 25318745088 25421666816 27428640512 27918437664 30066009792 31347017728 32571510608 33264521472 34361154048 37004319744 37224583552 38016595968 38132500224 40088013056 41142960768 43580000256 44352695296 45814872064 47020526592 48857265912 50637490176 50843333632 54857281024 55836875328 60132019584 65143021216 66529042944 68722308096 74008639488 74449167104 76265000448 80176026112 82285921536 88705390592 94041053184 97714531824 101686667264 109714562048 111673750656 120264039168 130286042432 133058085888 137444616192 148898334208 152530000896 160352052224 164571843072 195429063648 219429124096 223347501312 240528078336 260572084864 266116171776 297796668416 305060001792 320704104448 329143686144 390858127296 446695002624 481056156672 521144169728 595593336832 658287372288 781716254592 893390005248 962112313344 1042288339456 1563432509184 1786780010496 2084576678912 3126865018368 4169153357824 6253730036736 12507460073472
- Sum of all divisors σ(n): 45463809081600
- Sum of proper divisors (its aliquot sum) s(n): 32956349008128
- 12507460073472 is an abundant number, because the sum of its proper divisors (32956349008128) is greater than itself. Its abundance is 20448888934656
Bases of 12507460073472
- Binary: 101101100000000111101011011011111000000000002
- Hexadecimal: 0xB601EB6F800
- Base-36: 4FLUISLXC
Squares and roots of 12507460073472
- 12507460073472 squared (125074600734722) is 156436557489496207638134784
- 12507460073472 cubed (125074600734723) is 1956623996831280989053930653077678850048
-
The
square root of 12507460073472 is 3536588.7622781363 -
The
cube root of 12507460073472 is 23212.5601290715
Scales and comparisons
How big is 12507460073472?- 12,507,460,073,472 seconds is equal to 397,698 years, 28 weeks, 1 day, 8 hours, 51 minutes, 12 seconds.
-
To count from 1 to 12,507,460,073,472 would take you about nine hundred ninety-four thousand, two 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 12507460073472 cubic inches would be around 1934.4 feet tall.
Recreational maths with 12507460073472
- 12507460073472 backwards is 27437006470521
- 12507460073472 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 12507460073472's digits is 48
- More coming soon!
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Numbermatics. (2024). Number 12507460073472 - Facts about the integer. Retrieved 21 September 2024, from https://numbermatics.com/n/12507460073472/
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The information we have on file for 12507460073472 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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