12420948239263200
12,420,948,239,263,200 is an even composite number composed of seven prime numbers multiplied together.
12420948239263200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 12420948239263200:
25 × 3 × 52 × 74 × 13 × 41 × 20112
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 7 × 7 × 13 × 41 × 2011 × 2011)See below for interesting mathematical facts about the number 12420948239263200 from the Numbermatics database.
Names of 12420948239263200
- Cardinal: 12420948239263200 can be written as Twelve quadrillion, four hundred twenty trillion, nine hundred forty-eight billion, two hundred thirty-nine million, two hundred sixty-three thousand, two hundred.
Scientific notation
- Scientific notation: 1.24209482392632 × 1016
Factors of 12420948239263200
Divisors of 12420948239263200
- Number of divisors d(n): 2160
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 25 26 28 30 32 35 39 40 41 42 48 49 50 52 56 60 65 70 75 78 80 82 84 91 96 98 100 104 105 112 120 123 130 140 147 150 156 160 164 168 175 182 195 196 200 205 208 210 224 240 245 246 260 273 280 287 294 300 312 325 328 336 343 350 364 390 392 400 410 416 420 455 480 490 492 520 525 533 546 560 574 588 600 615 624 637 650 656 672 686 700 728 735 780 784 800 820 840 861 910 975 980 984 1025 1029 1040 1050 1066 1092 1120 1148 1176 1200 1225 1230 1248 1274 1300 1312 1365 1372 1400 1435 1456 1470 1560 1568 1599 1640 1680 1715 1722 1820 1911 1950 1960 1968 2009 2011 2050 2058 2080 2100 2132 2184 2275 2296 2352 2400 2401 2450 2460 2548 2600 2665 2730 2744 2800 2870 2912 2940 3075 3120 3185 3198 3280 3360 3430 3444 3640 3675 3731 3822 3900 3920 3936 4018 4022 4100 4116 4200 4264 4305 4368 4459 4550 4592 4704 4802 4900 4920 5096 5145 5200 5330 5460 5488 5600 5740 5880 6027 6033 6150 6240 6370 6396 6560 6825 6860 6888 7175 7203 7280 7350 7462 7644 7800 7840 7995 8036 8044 8200 8232 8400 8528 8575 8610 8736 8918 9100 9184 9555 9604 9800 9840 10045 10055 10192 10290 10400 10660 10920 10976 11193 11480 11760 12005 12054 12066 12300 12740 12792 13325 13377 13650 13720 13776 14063 14077 14350 14406 14560 14700 14924 15288 15600 15925 15990 16072 16088 16400 16464 16800 17056 17150 17220 17836 18200 18655 19110 19208 19600 19680 20090 20110 20384 20580 21320 21525 21840 22295 22386 22960 23520 24010 24108 24132 24600 25480 25584 25725 26117 26143 26650 26754 27300 27440 27552 28126 28154 28700 28812 29400 29848 30135 30165 30576 31200 31213 31850 31980 32144 32176 32800 32928 34300 34440 35672 36015 36400 37310 38220 38416 39200 39975 40180 40220 41160 42189 42231 42640 43050 43680 44590 44772 45920 47775 48020 48216 48264 49200 50225 50275 50960 51168 51450 52234 52286 53300 53508 54600 54880 55965 56252 56308 57400 57624 58800 59696 60025 60270 60330 61152 62426 63700 63960 64288 64352 66885 68600 68880 70315 70385 71344 72030 72800 74620 76440 76832 78351 78429 79950 80360 80440 82320 82451 84378 84462 85280 86100 89180 89544 93275 93639 95550 96040 96432 96528 98400 98441 98539 100450 100550 101920 102900 104468 104572 106600 107016 109200 111475 111930 112504 112616 114800 115248 117600 119392 120050 120540 120660 124852 127400 127920 130585 130715 133770 137200 137760 140630 140770 142688 144060 149240 150675 150825 152880 156065 156702 156858 159900 160720 160880 164640 164902 168756 168924 172200 178360 179088 180075 182819 183001 186550 187278 191100 192080 192864 193056 196882 197078 200900 201100 205800 208936 209144 210945 211155 213200 214032 218400 222950 223860 225008 225232 229600 230496 240100 241080 241320 247353 249704 254800 255840 261170 261430 267540 274400 279825 281260 281540 288120 295323 295617 298480 301350 301650 305760 312130 313404 313716 319800 321440 321760 329804 334425 337512 337848 344400 351575 351925 356720 358176 360150 365638 366002 373100 374556 382200 384160 391755 392145 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4265435521725 4327856529360 4436052942594 4526584635300 4549797889840 4660768570080 4777287784332 4874783453400 5049165950920 5069774791536 5173239583200 5175395099693 5281015407850 5409820661700 5459757467808 5687247362300 5825960712600 5914737256792 5971609730415 6035446180400 6058999141104 6176503351200 6182652184800 6311457438650 6337218489420 6369717045776 6499711271200 6824696834760 7213094215600 7242535416480 7393421570990 7573748926380 7767947616800 7921523111775 7962146307220 8449624652560 8530871043450 8655713058720 8872105885188 9053169270600 9099595779680 9467186157975 9554575568664 9749566906800 9952682884025 10098331901840 10139549583072 10350790199386 10562030815700 10819641323400 11090132356485 11374494724600 11651921425200 11829474513584 11943219460830 12070892360800 12117998282208 12622914877300 12674436978840 12739434091552 13649393669520 14426188431200 14786843141980 15147497852760 15526185299079 15843046223550 15924292614440 16899249305120 17061742086900 17744211770376 18106338541200 18483553927475 18934372315950 19109151137328 19499133813600 19905365768050 20196663803680 20701580398772 21124061631400 21639282646800 22180264712970 22748989449200 23303842850400 23658949027168 23886438921660 25245829754600 25348873957680 25876975498465 27298787339040 29573686283960 29858048652075 30294995705520 31052370598158 31686092447100 31848585228880 34123484173800 35488423540752 36212677082400 36967107854950 37868744631900 38218302274656 39810731536100 41403160797544 42248123262800 43278565293600 44360529425940 45497978898400 47772877843320 50491659509200 50697747915360 51753950996930 55450661782425 59147372567920 59716097304150 60589991411040 62104741196316 63372184894200 63697170457760 68246968347600 70976847081504 73934215709900 75737489263800 77630926495395 79621463072200 82806321595088 84496246525600 88721058851880 95545755686640 100983319018400 103507901993860 110901323564850 118294745135840 119432194608300 124209482392632 126744369788400 129384877492325 136493936695200 147868431419800 151474978527600 155261852990790 159242926144400 165612643190176 177442117703760 191091511373280 207015803987720 221802647129700 238864389216600 248418964785264 253488739576800 258769754984650 295736862839600 302949957055200 310523705981580 318485852288800 354884235407520 388154632476975 414031607975440 443605294259400 477728778433200 496837929570528 517539509969300 591473725679200 621047411963160 776309264953950 828063215950880 887210588518800 955457556866400 1035079019938600 1242094823926320 1552618529907900 1774421177037600 2070158039877200 2484189647852640 3105237059815800 4140316079754400 6210474119631600 12420948239263200
- Sum of all divisors σ(n): 52058640669720048
- Sum of proper divisors (its aliquot sum) s(n): 39637692430456848
- 12420948239263200 is an abundant number, because the sum of its proper divisors (39637692430456848) is greater than itself. Its abundance is 27216744191193648
Bases of 12420948239263200
- Binary: 1011000010000011001001010111111001001100100101111000002
- Hexadecimal: 0x2C20C95F9325E0
- Base-36: 3EAUWUI9ZHC
Squares and roots of 12420948239263200
- 12420948239263200 squared (124209482392632002) is 154279955162455588274078874240000
- 12420948239263200 cubed (124209482392632003) is 1916303337428708182287387353172168023059968000000
-
The
square root of 12420948239263200 is 111449307.9353263637 -
The
cube root of 12420948239263200 is 231589.1723529215
Scales and comparisons
How big is 12420948239263200?- 12,420,948,239,263,200 seconds is equal to 394,947,733 years, 25 weeks, 4 days, 11 hours, 20 minutes.
-
To count from 1 to 12,420,948,239,263,200 would take you about one billion, one hundred eighty-four million, eight hundred forty-three thousand, two hundred 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 12420948239263200 cubic inches would be around 19299.1 feet tall.
Recreational maths with 12420948239263200
- 12420948239263200 backwards is 00236293284902421
- The number of decimal digits it has is: 17
- The sum of 12420948239263200's digits is 57
- More coming soon!
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"Number 12420948239263200 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
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Numbermatics. (2024). Number 12420948239263200 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/12420948239263200/
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The information we have on file for 12420948239263200 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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