42028314681600
42,028,314,681,600 is an even composite number composed of eight prime numbers multiplied together.
42028314681600 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand, eight hundred eighty-eight divisors.
Prime factorization of 42028314681600:
28 × 32 × 52 × 13 × 172 × 29 × 37 × 181
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 13 × 17 × 17 × 29 × 37 × 181)See below for interesting mathematical facts about the number 42028314681600 from the Numbermatics database.
Names of 42028314681600
- Cardinal: 42028314681600 can be written as Forty-two trillion, twenty-eight billion, three hundred fourteen million, six hundred eighty-one thousand, six hundred.
Scientific notation
- Scientific notation: 4.20283146816 × 1013
Factors of 42028314681600
Divisors of 42028314681600
- Number of divisors d(n): 3888
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20 24 25 26 29 30 32 34 36 37 39 40 45 48 50 51 52 58 60 64 65 68 72 74 75 78 80 85 87 90 96 100 102 104 111 116 117 120 128 130 136 144 145 148 150 153 156 160 170 174 180 181 185 192 195 200 204 208 221 222 225 232 234 240 255 256 260 261 272 288 289 290 296 300 306 312 320 325 333 340 348 360 362 370 377 384 390 400 408 416 425 435 442 444 450 464 468 480 481 493 510 520 522 543 544 555 576 578 580 585 592 600 612 624 629 640 650 663 666 680 696 720 724 725 740 754 765 768 780 800 816 832 850 867 870 884 888 900 905 925 928 936 960 962 975 986 1020 1040 1044 1073 1086 1088 1105 1110 1131 1152 1156 1160 1170 1184 1200 1224 1248 1258 1275 1280 1300 1305 1326 1332 1360 1392 1440 1443 1445 1448 1450 1479 1480 1508 1530 1560 1600 1629 1632 1664 1665 1700 1734 1740 1768 1776 1800 1810 1850 1856 1872 1885 1887 1920 1924 1950 1972 1989 2040 2080 2088 2146 2172 2175 2176 2210 2220 2262 2304 2312 2320 2340 2353 2368 2400 2405 2448 2465 2496 2516 2550 2600 2601 2610 2652 2664 2715 2720 2775 2784 2880 2886 2890 2896 2900 2925 2958 2960 3016 3060 3077 3120 3145 3200 3219 3258 3264 3315 3328 3330 3393 3400 3468 3480 3536 3552 3600 3620 3700 3712 3744 3757 3770 3774 3825 3840 3848 3900 3944 3978 4080 4160 4176 4292 4329 4335 4344 4350 4352 4420 4437 4440 4524 4525 4624 4640 4680 4706 4736 4800 4810 4896 4930 4992 5032 5100 5200 5202 5220 5249 5304 5328 5365 5430 5440 5525 5550 5568 5655 5661 5760 5772 5780 5792 5800 5850 5916 5920 6032 6120 6154 6240 6290 6400 6409 6438 6516 6525 6528 6630 6660 6697 6786 6800 6936 6960 7059 7072 7104 7200 7215 7225 7240 7395 7400 7424 7488 7514 7540 7548 7650 7696 7800 7888 7956 8145 8160 8177 8320 8325 8352 8381 8584 8658 8670 8688 8700 8840 8874 8880 9048 9050 9231 9248 9280 9360 9412 9425 9435 9472 9600 9620 9657 9792 9860 9945 9984 10064 10200 10400 10404 10440 10498 10608 10656 10693 10730 10860 10880 11050 11100 11136 11271 11310 11322 11520 11544 11560 11584 11600 11700 11765 11832 11840 12025 12064 12240 12308 12325 12480 12580 12818 12876 13005 13032 13050 13056 13260 13320 13394 13572 13575 13600 13872 13920 13949 14118 14144 14208 14400 14430 14450 14480 14790 14800 14976 15028 15080 15096 15300 15385 15392 15600 15725 15747 15776 15912 16095 16290 16320 16354 16575 16640 16650 16704 16762 16965 17168 17316 17340 17376 17400 17680 17748 17760 18096 18100 18241 18462 18496 18560 18720 18785 18824 18850 18870 19200 19227 19240 19314 19584 19720 19890 20091 20128 20400 20800 20808 20880 20996 21177 21216 21312 21386 21460 21645 21675 21720 21760 22100 22185 22200 22272 22542 22620 22644 23088 23120 23168 23200 23400 23530 23664 23680 24050 24128 24480 24531 24616 24650 24960 25143 25160 25636 25752 26010 26064 26100 26245 26520 26640 26788 26825 27144 27150 27200 27693 27744 27840 27898 28236 28275 28288 28305 28416 28800 28860 28900 28960 29580 29600 29952 30056 30160 30192 30600 30770 30784 31200 31450 31494 31552 31824 32045 32079 32190 32580 32640 32708 33150 33300 33408 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6180634512 6193385600 6275692800 6310557760 6339112320 6438160950 6441121024 6450017600 6528163200 6557702400 6566924169 6681767040 6735306840 6829430400 6867371680 6967558800 7099377480 7104177600 7184327296 7246261152 7256269800 7271334720 7281412800 7296582410 7424185600 7432062720 7548188700 7572669312 7606934784 7725793140 7740021120 7833795840 7888197200 7923890400 8006918400 8051401280 8079260800 8082368208 8240846016 8352208800 8419133550 8525013120 8584214600 8737695360 8755898892 8874221850 8930793600 8980409120 9057826440 9089168400 9288025344 9290078400 9465836640 9472236800 9508668480 9657241425 9661681536 9675026400 9695112960 9708550400 9792244800 10064251600 10102960260 10301057520 10565187200 10656266400 10776490944 10922119200 10944873615 10987794688 11136278400 11148094080 11186668800 11225511400 11322283050 11359003968 11610031680 11674531856 11832295800 11885835600 12077101920 12118891200 12361269024 12386771200 12621115520 12628700325 12678224640 12876321900 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109448736150 111480940800 113590039680 116100316800 116745318560 120771019200 123612690240 126211155200 129317891328 131338483380 134706136800 137347433600 140094382272 141987549600 144925223040 145426694400 145931648200 154515862800 161028025600 161647364160 164173104225 164816920320 175117977840 179608182400 181156528800 186792509696 189316732800 190173369600 202059205200 206021150400 210141573408 215529818880 218897472300 227180079360 232200633600 233490637120 241542038400 247225380480 262676966760 269412273600 274694867200 280188764544 283975099200 289850446080 291863296400 309031725600 323294728320 328346208450 350235955680 359216364800 362313057600 378633465600 404118410400 412042300800 420283146816 437794944600 466981274240 483084076800 494450760960 525353933520 538824547200 560377529088 567950198400 583726592800 618063451200 646589456640 656692416900 700471911360 724626115200 808236820800 824084601600 840566293632 875589889200 933962548480 1050707867040 1077649094400 1135900396800 1167453185600 1236126902400 1313384833800 1400943822720 1449252230400 1616473641600 1681132587264 1751179778400 2101415734080 2334906371200 2472253804800 2626769667600 2801887645440 3232947283200 3502359556800 4202831468160 4669812742400 5253539335200 7004719113600 8405662936320 10507078670400 14009438227200 21014157340800 42028314681600
- Sum of all divisors σ(n): 183640555054320
- Sum of proper divisors (its aliquot sum) s(n): 141612240372720
- 42028314681600 is an abundant number, because the sum of its proper divisors (141612240372720) is greater than itself. Its abundance is 99583925691120
Bases of 42028314681600
- Binary: 10011000111001011110101100010001100001000000002
- Hexadecimal: 0x26397AC46100
- Base-36: EWBJHF7K0
Squares and roots of 42028314681600
- 42028314681600 squared (420283146816002) is 1766379234975594109378560000
- 42028314681600 cubed (420283146816003) is 74237942334598138124877409500266496000000
-
The
square root of 42028314681600 is 6482924.8554645457 -
The
cube root of 42028314681600 is 34768.0760106477
Scales and comparisons
How big is 42028314681600?- 42,028,314,681,600 seconds is equal to 1,336,370 years, 21 weeks, 8 hours.
-
To count from 1 to 42,028,314,681,600 would take you about three million, three hundred forty thousand, nine hundred twenty-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 42028314681600 cubic inches would be around 2897.3 feet tall.
Recreational maths with 42028314681600
- 42028314681600 backwards is 00618641382024
- 42028314681600 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42028314681600's digits is 45
- More coming soon!
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Cite this page
MLA style:
"Number 42028314681600 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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Numbermatics. (2024). Number 42028314681600 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/42028314681600/
Chicago style:
Numbermatics. 2024. "Number 42028314681600 - Facts about the integer". https://numbermatics.com/n/42028314681600/
The information we have on file for 42028314681600 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 42028314681600, math, Factors of 42028314681600, curriculum, school, college, exams, university, Prime factorization of 42028314681600, STEM, science, technology, engineering, physics, economics, calculator, forty-two trillion, twenty-eight billion, three hundred fourteen million, six hundred eighty-one thousand, six hundred.