12838081484800
12,838,081,484,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 12838081484800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
12838081484800 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 12838081484800:
211 × 52 × 11 × 132 × 19 × 31 × 229
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 13 × 13 × 19 × 31 × 229)See below for interesting mathematical facts about the number 12838081484800 from the Numbermatics database.
Names of 12838081484800
- Cardinal: 12838081484800 can be written as Twelve trillion, eight hundred thirty-eight billion, eighty-one million, four hundred eighty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 1.28380814848 × 1013
Factors of 12838081484800
Divisors of 12838081484800
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 4 5 8 10 11 13 16 19 20 22 25 26 31 32 38 40 44 50 52 55 62 64 65 76 80 88 95 100 104 110 124 128 130 143 152 155 160 169 176 190 200 208 209 220 229 247 248 256 260 275 286 304 310 320 325 338 341 352 380 400 403 416 418 440 458 475 494 496 512 520 550 572 589 608 620 640 650 676 682 704 715 760 775 800 806 832 836 845 880 916 950 988 992 1024 1040 1045 1100 1144 1145 1178 1216 1235 1240 1280 1300 1352 1364 1408 1430 1520 1550 1600 1612 1664 1672 1690 1705 1760 1832 1859 1900 1976 1984 2015 2048 2080 2090 2200 2288 2290 2356 2432 2470 2480 2519 2560 2600 2704 2717 2728 2816 2860 2945 2977 3040 3100 3200 3211 3224 3328 3344 3380 3410 3520 3575 3664 3718 3800 3952 3968 4030 4160 4180 4225 4351 4400 4433 4576 4580 4712 4864 4940 4960 5038 5120 5200 5225 5239 5408 5434 5456 5632 5720 5725 5890 5954 6080 6175 6200 6400 6422 6448 6479 6656 6688 6760 6820 7040 7099 7150 7328 7436 7600 7657 7904 7936 8060 8320 8360 8450 8525 8702 8800 8866 9152 9160 9295 9424 9728 9880 9920 10075 10076 10240 10400 10450 10478 10816 10868 10912 11264 11440 11450 11780 11908 12160 12350 12400 12595 12800 12844 12896 12958 13312 13376 13520 13585 13640 14080 14198 14300 14656 14725 14872 14885 15200 15314 15808 15872 16055 16120 16640 16720 16900 17050 17404 17600 17732 18304 18320 18590 18848 19456 19760 19840 20150 20152 20800 20900 20956 21632 21736 21755 21824 22165 22528 22880 22900 23560 23816 24320 24700 24800 25190 25600 25688 25792 25916 26195 26624 26752 27040 27170 27280 28160 28396 28600 29312 29450 29744 29770 30400 30628 31616 31744 32110 32240 32395 32747 33280 33440 33800 34100 34808 35200 35321 35464 35495 36608 36640 37180 37696 38285 38701 38912 39520 39680 40300 40304 41600 41800 41912 43264 43472 43510 43648 44330 45760 45800 46475 47120 47632 47861 48640 49400 49600 50380 51200 51376 51584 51832 52390 53504 54080 54340 54560 56320 56563 56792 57200 57629 58624 58900 59488 59540 60800 61256 62975 63232 63488 64220 64480 64790 65494 66560 66880 67600 67925 68200 69616 70400 70642 70928 70990 73216 73280 74360 74425 75392 76570 77402 78089 79040 79360 80275 80600 80608 83200 83600 83824 84227 86528 86944 87020 87296 88660 91520 91600 92287 92950 94240 95264 95722 97280 98800 99200 99541 100760 102752 103168 103664 104780 107008 108160 108680 108775 109120 110825 112640 113126 113584 114400 115258 117248 117800 118976 119080 121600 122512 125950 126464 128440 128960 129580 130975 130988 133120 133760 134881 135200 135850 136400 139232 140800 141284 141856 141980 146432 146560 148720 148850 150784 153140 154804 156178 158080 158720 160550 161200 161216 161975 163735 166400 167200 167648 168454 173056 173888 174040 174592 176605 177320 177475 183040 183200 184574 185900 188480 190528 191425 191444 193505 194560 197600 198400 199082 201520 205504 206336 207328 209560 214016 216320 217360 217550 218240 221650 226252 227168 228800 230516 234496 235600 237952 238160 239305 243200 245024 251900 252928 256880 257920 259160 261950 261976 267520 269762 270400 271700 272800 278464 281600 282568 282815 283712 283960 288145 292864 293120 297440 297700 301568 306280 309608 312356 316160 317440 321100 322400 322432 323950 327470 332800 334400 335296 336908 346112 347776 348080 349184 353210 354640 354950 366080 366400 369148 371800 376960 381056 382850 382888 387010 390445 395200 396800 398164 403040 411008 412672 414656 419120 421135 425711 428032 432640 434720 435100 436480 443300 452504 454336 457600 461032 461435 468992 471200 475904 476320 478610 486400 490048 497705 503800 505856 513760 515840 518320 523900 523952 535040 539524 540800 543400 545600 556928 563200 565136 565630 567424 567920 576290 586240 594880 595400 603136 612560 619216 622193 624712 632320 642200 644800 644864 647900 654940 665600 668800 670592 673816 674405 695552 696160 698368 706420 709280 709900 732160 732800 735319 738296 743600 753920 762112 765700 765776 774020 780890 790400 793600 796328 806080 818675 822016 825344 829312 838240 842270 851422 865280 869440 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22444198400 23341966336 24688618240 25074377900 25883228800 25988019200 27027539968 28030745600 29177457920 30713113600 30860772800 31856281600 32095203712 33784424960 36471822400 37648332800 37982489600 39501789184 40119004640 41413166080 42230531200 44888396800 46683932672 49377236480 50148755800 51766457600 51976038400 56061491200 58354915840 61426227200 61721545600 64190407424 67568849920 72943644800 75964979200 80238009280 82826332160 84461062400 89776793600 98754472960 100297511600 103532915200 116709831680 123443091200 128380814848 135137699840 145887289600 160476018560 168922124800 197508945920 200595023200 207065830400 233419663360 246886182400 256761629696 291774579200 320952037120 337844249600 401190046400 414131660800 493772364800 513523259392 583549158400 641904074240 675688499200 802380092800 987544729600 1167098316800 1283808148480 1604760185600 2567616296960 3209520371200 6419040742400 12838081484800
- Sum of all divisors σ(n): 41035123584000
- Sum of proper divisors (its aliquot sum) s(n): 28197042099200
- 12838081484800 is an abundant number, because the sum of its proper divisors (28197042099200) is greater than itself. Its abundance is 15358960614400
Bases of 12838081484800
- Binary: 101110101101000110010100100101011000000000002
- Hexadecimal: 0xBAD19495800
- Base-36: 4JTQE8VLS
Squares and roots of 12838081484800
- 12838081484800 squared (128380814848002) is 164816336210364572631040000
- 12838081484800 cubed (128380814848003) is 2115925554294853217752419445768192000000
-
The
square root of 12838081484800 is 3583026.8607421855 -
The
cube root of 12838081484800 is 23415.3170498471
Scales and comparisons
How big is 12838081484800?- 12,838,081,484,800 seconds is equal to 408,211 years, 14 weeks, 4 days, 1 hour, 46 minutes, 40 seconds.
-
To count from 1 to 12,838,081,484,800 would take you about one million, twenty thousand, five hundred twenty-eight 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 12838081484800 cubic inches would be around 1951.3 feet tall.
Recreational maths with 12838081484800
- 12838081484800 backwards is 00848418083821
- 12838081484800 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 12838081484800's digits is 55
- More coming soon!
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"Number 12838081484800 - Facts about the integer". Numbermatics.com. 2024. Web. 9 May 2024.
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Numbermatics. (2024). Number 12838081484800 - Facts about the integer. Retrieved 9 May 2024, from https://numbermatics.com/n/12838081484800/
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The information we have on file for 12838081484800 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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