42427698809600
42,427,698,809,600 is an even composite number composed of six prime numbers multiplied together.
What does the number 42427698809600 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 648 divisors.
42427698809600 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 42427698809600:
28 × 52 × 13 × 172 × 97 × 18191
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 17 × 17 × 97 × 18191)See below for interesting mathematical facts about the number 42427698809600 from the Numbermatics database.
Names of 42427698809600
- Cardinal: 42427698809600 can be written as Forty-two trillion, four hundred twenty-seven billion, six hundred ninety-eight million, eight hundred nine thousand, six hundred.
Scientific notation
- Scientific notation: 4.24276988096 × 1013
Factors of 42427698809600
Divisors of 42427698809600
- Number of divisors d(n): 648
-
Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 25 26 32 34 40 50 52 64 65 68 80 85 97 100 104 128 130 136 160 170 194 200 208 221 256 260 272 289 320 325 340 388 400 416 425 442 485 520 544 578 640 650 680 776 800 832 850 884 970 1040 1088 1105 1156 1261 1280 1300 1360 1445 1552 1600 1649 1664 1700 1768 1940 2080 2176 2210 2312 2425 2522 2600 2720 2890 3104 3200 3298 3328 3400 3536 3757 3880 4160 4352 4420 4624 4850 5044 5200 5440 5525 5780 6208 6305 6400 6596 6800 7072 7225 7514 7760 8245 8320 8840 9248 9700 10088 10400 10880 11050 11560 12416 12610 13192 13600 14144 14450 15028 15520 16490 16640 17680 18191 18496 18785 19400 20176 20800 21437 21760 22100 23120 24832 25220 26384 27200 28033 28288 28900 30056 31040 31525 32980 35360 36382 36992 37570 38800 40352 41225 41600 42874 44200 46240 50440 52768 54400 56066 56576 57800 60112 62080 63050 65960 70720 72764 73984 75140 77600 80704 82450 83200 85748 88400 90955 92480 93925 100880 105536 107185 108800 112132 115600 120224 124160 126100 131920 140165 141440 145528 150280 155200 161408 164900 171496 176800 181910 184960 187850 201760 211072 214370 224264 231200 236483 240448 252200 263840 280330 282880 291056 300560 309247 310400 322816 329800 342992 353600 363820 364429 369920 375700 403520 422144 428740 448528 454775 462400 472966 480896 504400 527680 535925 560660 582112 601120 618494 620800 659600 685984 700825 707200 727640 728858 751400 807040 857480 897056 909550 924800 945932 961792 1008800 1055360 1071850 1121320 1164224 1182415 1202240 1236988 1319200 1371968 1401650 1414400 1455280 1457716 1502800 1546235 1614080 1714960 1764527 1794112 1819100 1822145 1849600 1891864 2017600 2110720 2143700 2242640 2328448 2364830 2404480 2473976 2638400 2743936 2803300 2910560 2915432 3005600 3092470 3429920 3529054 3588224 3638200 3644290 3783728 4020211 4035200 4287400 4485280 4656896 4729660 4808960 4947952 5257199 5276800 5487872 5606600 5821120 5830864 5912075 6011200 6184940 6859840 7058108 7176448 7276400 7288580 7567456 7731175 8040422 8070400 8574800 8822635 8970560 9110725 9459320 9895904 10514398 10553600 11213200 11642240 11661728 11824150 12022400 12369880 13719680 14116216 14552800 14577160 15134912 15462350 16080844 17149600 17645270 17941120 18221450 18918640 19791808 20101055 21028796 22426400 22938851 23284480 23323456 23648300 24044800 24739760 26285995 27439360 28232432 29105600 29154320 29996959 30269824 30924700 32161688 34299200 35290540 35882240 36442900 37837280 39583616 40202110 42057592 44113175 44852800 45877702 46646912 47296600 49479520 52571990 56464864 58211200 58308640 59993918 60539648 61849400 64323376 68343587 68598400 70581080 72885800 75674560 79167232 80404220 84115184 88226350 89705600 91755404 93293824 94593200 98959040 100505275 105143980 112929728 114694255 116422400 116617280 119987836 123698800 128646752 131429975 136687174 137196800 141162160 145771600 149984795 151349120 160808440 168230368 176452700 179411200 183510808 189186400 197918080 201010550 210287960 225859456 229388510 233234560 239975672 247397600 257293504 262859950 273374348 282324320 291543200 299969590 302698240 321616880 336460736 341717935 352905400 367021616 378372800 389960467 395836160 402021100 420575920 451718912 458777020 466469120 479951344 494795200 509948303 514587008 525719900 546748696 564648640 573471275 583086400 599939180 643233760 672921472 683435870 705810800 734043232 749923975 756745600 779920934 804042200 841151840 917554040 959902688 989590400 1019896606 1029174016 1051439800 1093497392 1129297280 1146942550 1166172800 1199878360 1286467520 1345842944 1366871740 1411621600 1468086464 1499847950 1513491200 1559841868 1608084400 1682303680 1708589675 1835108080 1919805376 1949802335 1979180800 2039793212 2102879600 2186994784 2258594560 2293885100 2332345600 2399756720 2549741515 2572935040 2733743480 2823243200 2936172928 2999695900 3119683736 3216168800 3364607360 3417179350 3670216160 3839610752 3899604670 4079586424 4205759200 4373989568 4587770200 4799513440 5099483030 5145870080 5467486960 5646486400 5872345856 5999391800 6239367472 6432337600 6629327939 6729214720 6834358700 7340432320 7679221504 7799209340 8159172848 8411518400 8747979136 9175540400 9599026880 9749011675 10198966060 10934973920 11292972800 11998783600 12478734944 12748707575 12864675200 13258655878 13668717400 14680864640 15598418680 16318345696 16823036800 17495958272 18351080800 19198053760 19498023350 20397932120 21869947840 23997567200 24957469888 25497415150 25729350400 26517311756 27337434800 29361729280 31196837360 32636691392 33146639695 33646073600 36702161600 38396107520 38996046700 40795864240 43739895680 47995134400 49914939776 50994830300 53034623512 54674869600 62393674720 65273382784 66293279390 73404323200 77992093400 81591728480 87479791360 95990268800 99829879552 101989660600 106069247024 109349739200 124787349440 130546765568 132586558780 146808646400 155984186800 163183456960 165733198475 191980537600 203979321200 212138494048 218699478400 249574698880 265173117560 311968373600 326366913920 331466396950 407958642400 424276988096 437398956800 499149397760 530346235120 623936747200 652733827840 662932793900 815917284800 848553976192 1060692470240 1247873494400 1325865587800 1631834569600 1697107952384 2121384940480 2495746988800 2651731175600 3263669139200 4242769880960 5303462351200 8485539761920 10606924702400 21213849404800 42427698809600
- Sum of all divisors σ(n): 121382346324288
- Sum of proper divisors (its aliquot sum) s(n): 78954647514688
- 42427698809600 is an abundant number, because the sum of its proper divisors (78954647514688) is greater than itself. Its abundance is 36526948705088
Bases of 42427698809600
- Binary: 10011010010110011101111110101010001011000000002
- Hexadecimal: 0x269677EA8B00
- Base-36: F1F0KF4ZK
Squares and roots of 42427698809600
- 42427698809600 squared (424276988096002) is 1800109626278133257052160000
- 42427698809600 cubed (424276988096003) is 76374509047990255268742099637108736000000
-
The
square root of 42427698809600 is 6513654.7966253171 -
The
cube root of 42427698809600 is 34877.8596500375
Scales and comparisons
How big is 42427698809600?- 42,427,698,809,600 seconds is equal to 1,349,069 years, 30 weeks, 2 days, 19 hours, 33 minutes, 20 seconds.
-
To count from 1 to 42,427,698,809,600 would take you about three million, three hundred seventy-two thousand, six hundred seventy-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 42427698809600 cubic inches would be around 2906.5 feet tall.
Recreational maths with 42427698809600
- 42427698809600 backwards is 00690889672424
- 42427698809600 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42427698809600's digits is 65
- More coming soon!
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The information we have on file for 42427698809600 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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