422138080465920
422,138,080,465,920 is an even composite number composed of seven prime numbers multiplied together.
What does the number 422138080465920 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2640 divisors.
422138080465920 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, six hundred forty divisors.
Prime factorization of 422138080465920:
210 × 34 × 5 × 7 × 13 × 732 × 2099
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 7 × 13 × 73 × 73 × 2099)See below for interesting mathematical facts about the number 422138080465920 from the Numbermatics database.
Names of 422138080465920
- Cardinal: 422138080465920 can be written as Four hundred twenty-two trillion, one hundred thirty-eight billion, eighty million, four hundred sixty-five thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 4.2213808046592 × 1014
Factors of 422138080465920
Divisors of 422138080465920
- Number of divisors d(n): 2640
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 27 28 30 32 35 36 39 40 42 45 48 52 54 56 60 63 64 65 70 72 73 78 80 81 84 90 91 96 104 105 108 112 117 120 126 128 130 135 140 144 146 156 160 162 168 180 182 189 192 195 208 210 216 219 224 234 240 252 256 260 270 273 280 288 292 312 315 320 324 336 351 360 364 365 378 384 390 405 416 420 432 438 448 455 468 480 504 511 512 520 540 546 560 567 576 584 585 624 630 640 648 657 672 702 720 728 730 756 768 780 810 819 832 840 864 876 896 910 936 945 949 960 1008 1022 1024 1040 1053 1080 1092 1095 1120 1134 1152 1168 1170 1248 1260 1280 1296 1314 1344 1365 1404 1440 1456 1460 1512 1533 1536 1560 1620 1638 1664 1680 1728 1752 1755 1792 1820 1872 1890 1898 1920 1971 2016 2044 2080 2099 2106 2160 2184 2190 2240 2268 2304 2336 2340 2457 2496 2520 2555 2560 2592 2628 2688 2730 2808 2835 2847 2880 2912 2920 3024 3066 3072 3120 3240 3276 3285 3328 3360 3456 3504 3510 3584 3640 3744 3780 3796 3840 3942 4032 4088 4095 4160 4198 4212 4320 4368 4380 4480 4536 4599 4608 4672 4680 4745 4914 4992 5040 5110 5120 5184 5256 5265 5329 5376 5460 5616 5670 5694 5760 5824 5840 5913 6048 6132 6240 6297 6480 6552 6570 6643 6656 6720 6912 7008 7020 7168 7280 7371 7488 7560 7592 7665 7680 7884 8064 8176 8190 8320 8396 8424 8541 8640 8736 8760 8960 9072 9198 9216 9344 9360 9490 9828 9855 9984 10080 10220 10368 10495 10512 10530 10658 10752 10920 11232 11340 11388 11520 11648 11680 11826 12096 12264 12285 12480 12594 12960 13104 13140 13286 13312 13440 13797 13824 14016 14040 14235 14560 14693 14742 14976 15120 15184 15330 15360 15768 15987 16128 16352 16380 16640 16792 16848 17082 17280 17472 17520 17920 18144 18396 18688 18720 18891 18980 19656 19710 19929 19968 20160 20440 20736 20990 21024 21060 21316 21504 21840 22464 22680 22776 22995 23040 23296 23360 23652 24192 24528 24570 24960 25188 25623 25920 26208 26280 26572 26645 26880 27287 27594 27648 28032 28080 28470 29120 29386 29484 29565 29952 30240 30368 30660 31485 31536 31974 32256 32704 32760 33215 33280 33584 33696 34164 34560 34944 35040 35840 36288 36792 36855 37303 37376 37440 37782 37960 39312 39420 39858 39936 40320 40880 41391 41472 41980 42048 42120 42632 42705 43680 44079 44928 45360 45552 45990 46080 46592 46720 47304 47961 48384 49056 49140 49920 50376 51246 51840 52416 52560 53144 53290 53760 54574 55188 56064 56160 56673 56940 58240 58772 58968 59130 59787 59904 60480 60736 61320 62970 63072 63948 64512 65408 65520 66430 66560 67168 67392 68328 68985 69120 69277 69888 70080 72576 73465 73584 73710 74606 74752 74880 75564 75920 76869 78624 78840 79716 79935 80640 81760 81861 82782 82944 83960 84096 84240 85264 85410 87360 88158 89856 90720 91104 91980 93184 93440 94455 94608 95922 96768 98112 98280 99645 99840 100752 102492 103680 104832 105120 106288 106580 107520 109148 110376 111909 112128 112320 113346 113880 116480 117544 117936 118260 119574 119808 120960 121472 122640 125940 126144 127896 128115 130816 131040 132237 132860 134336 134784 136435 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91609826490 91789102080 93063950720 94227250104 96378557184 96643333440 97717148256 100222716160 100556951040 101475500112 103086222336 103262739840 104696944560 107087285760 109931791788 111206027520 111676740864 112750555680 115972000128 117784062630 120267259392 120473196480 122146435320 125636333472 126844375140 128504742912 128857777920 130289531008 135300666816 137414739735 137683653120 139595926080 144567835776 144965000160 146575722384 148274703360 148902321152 150334074240 154629333504 157045416840 160630928640 162861913760 164897687682 165220383744 167515111296 169125833520 171810370560 180400889088 180709794720 183219652980 186127901440 188454500208 192757114368 193286666880 195434296512 200445432320 201113902080 202951000224 206525479680 209393889120 214174571520 219863583576 222412055040 223353481728 225501111360 231944000256 235568125260 240534518784 240946392960 244292870640 251272666944 253688750280 257715555840 260579062016 270601333632 274829479470 275367306240 279191852160 289135671552 289930000320 293151444768 300668148480 309258667008 314090833680 321261857280 325723827520 329795375364 335030222592 338251667040 360801778176 361419589440 366439305960 372255802880 376909000416 385514228736 386573333760 390868593024 400890864640 405902000448 412244219205 413050959360 418787778240 439727167152 444824110080 446706963456 451002222720 463888000512 471136250520 481892785920 488585741280 502545333888 507377500560 515431111680 521158124032 541202667264 549658958940 558383704320 578271343104 579860000640 586302889536 601336296960 628181667360 642523714560 651447655040 659590750728 670060445184 676503334080 721603556352 722839178880 732878611920 744511605760 753818000832 773146667520 781737186048 811804000896 824488438410 826101918720 837575556480 879454334304 902004445440 927776001024 942272501040 963785571840 977171482560 1005090667776 1014755001120 1042316248064 1082405334528 1099317917880 1116767408640 1156542686208 1159720001280 1172605779072 1202672593920 1256363334720 1302895310080 1319181501456 1340120890368 1353006668160 1445678357760 1465757223840 1507636001664 1546293335040 1563474372096 1623608001792 1648976876820 1675151112960 1758908668608 1804008890880 1884545002080 1927571143680 1954342965120 2010181335552 2029510002240 2164810669056 2198635835760 2233534817280 2319440002560 2345211558144 2512726669440 2605790620160 2638363002912 2706013336320 2891356715520 2931514447680 3015272003328 3126948744192 3247216003584 3297953753640 3350302225920 3517817337216 3608017781760 3769090004160 3908685930240 4020362671104 4059020004480 4397271671520 4638880005120 4690423116288 5025453338880 5211581240320 5276726005824 5412026672640 5782713431040 5863028895360 6030544006656 6494432007168 6595907507280 6700604451840 7035634674432 7538180008320 7817371860480 8118040008960 8794543343040 9380846232576 10050906677760 10553452011648 10824053345280 11726057790720 12061088013312 13191815014560 14071269348864 15076360016640 15634743720960 16236080017920 17589086686080 20101813355520 21106904023296 23452115581440 26383630029120 28142538697728 30152720033280 32472160035840 35178173372160 42213808046592 46904231162880 52767260058240 60305440066560 70356346744320 84427616093184 105534520116480 140712693488640 211069040232960 422138080465920
- Sum of all divisors σ(n): 1888542437443200
- Sum of proper divisors (its aliquot sum) s(n): 1466404356977280
- 422138080465920 is an abundant number, because the sum of its proper divisors (1466404356977280) is greater than itself. Its abundance is 1044266276511360
Bases of 422138080465920
- Binary: 10111111111101110101011100101010100010100000000002
- Hexadecimal: 0x17FEEAE551400
- Base-36: 45MVK1TS00
Squares and roots of 422138080465920
- 422138080465920 squared (4221380804659202) is 178200558979451548684281446400
- 422138080465920 cubed (4221380804659203) is 75225241905539640654315161525899323506688000
-
The
square root of 422138080465920 is 20545999.1352555059 -
The
cube root of 422138080465920 is 75015.5867140363
Scales and comparisons
How big is 422138080465920?- 422,138,080,465,920 seconds is equal to 13,422,685 years, 10 weeks, 2 days, 19 hours, 12 minutes.
-
To count from 1 to 422,138,080,465,920 would take you about thirty-three million, five hundred fifty-six thousand, seven hundred thirteen 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 422138080465920 cubic inches would be around 6251.3 feet tall.
Recreational maths with 422138080465920
- 422138080465920 backwards is 029564080831224
- 422138080465920 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 422138080465920's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 422138080465920 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.
APA style:
Numbermatics. (2024). Number 422138080465920 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/422138080465920/
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The information we have on file for 422138080465920 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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