42946476941312000

Names of 42946476941312000

• Cardinal: 42946476941312000 can be written as Forty-two quadrillion, nine hundred forty-six trillion, four hundred seventy-six billion, nine hundred forty-one million, three hundred twelve thousand.

Scientific notation

• Scientific notation: 4.2946476941312 × 10¹⁶

Factors of 42946476941312000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 26
• Sum of prime factors: 16450

Divisors of 42946476941312000

• Number of divisors d(n): 1632
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 19 20 25 28 32 35 38 40 49 50 56 64 70 76 80 95 98 100 112 125 128 133 140 152 160 175 190 196 200 224 245 250 256 266 280 304 320 343 350 380 392 400 448 475 490 500 512 532 560 608 640 665 686 700 760 784 800 875 896 931 950 980 1000 1024 1064 1120 1216 1225 1280 1330 1372 1400 1520 1568 1600 1715 1750 1792 1862 1900 1960 2000 2048 2128 2240 2375 2401 2432 2450 2560 2660 2744 2800 3040 3136 3200 3325 3430 3500 3584 3724 3800 3920 4000 4096 4256 4480 4655 4750 4802 4864 4900 5120 5320 5488 5600 6080 6125 6272 6400 6517 6650 6860 7000 7168 7448 7600 7840 8000 8192 8512 8575 8960 9310 9500 9604 9728 9800 10240 10640 10976 11200 12005 12160 12250 12544 12800 13034 13300 13720 14000 14336 14896 15200 15680 16000 16384 16417 16625 16807 17024 17150 17920 18620 19000 19208 19456 19600 20480 21280 21952 22400 23275 24010 24320 24500 25088 25600 26068 26600 27440 28000 28672 29792 30400 31360 32000 32585 32768 32834 33250 33614 34048 34300 35840 37240 38000 38416 38912 39200 40960 42560 42875 43904 44800 45619 46550 48020 48640 49000 50176 51200 52136 53200 54880 56000 57344 59584 60025 60800 62720 64000 65170 65536 65668 66500 67228 68096 68600 71680 74480 76000 76832 77824 78400 81920 82085 84035 85120 85750 87808 89600 91238 93100 96040 97280 98000 100352 102400 104272 106400 109760 112000 114688 114919 116375 119168 120050 121600 125440 128000 130340 131336 133000 134456 136192 137200 143360 148960 152000 153664 155648 156800 162925 163840 164170 168070 170240 171500 175616 179200 182476 186200 192080 194560 196000 200704 204800 208544 212800 219520 224000 228095 229376 229838 232750 238336 240100 243200 250880 256000 260680 262672 266000 268912 272384 274400 286720 297920 300125 304000 307328 311296 311923 313600 319333 325850 327680 328340 336140 340480 343000 351232 358400 364952 372400 384160 389120 392000 401408 409600 410425 417088 420175 425600 439040 448000 456190 458752 459676 465500 476672 480200 486400 501760 512000 521360 525344 532000 537824 544768 548800 573440 574595 595840 600250 608000 614656 622592 623846 627200 638666 651700 656680 672280 680960 686000 702464 716800 729904 744800 768320 778240 784000 802816 804433 814625 819200 820850 834176 840350 851200 878080 896000 912380 919352 931000 953344 960400 972800 1003520 1024000 1042720 1050688 1064000 1075648 1089536 1097600 1140475 1146880 1149190 1191680 1200500 1216000 1229312 1245184 1247692 1254400 1277332 1303400 1313360 1344560 1361920 1372000 1404928 1433600 1459808 1489600 1536640 1556480 1559615 1568000 1596665 1605632 1608866 1629250 1638400 1641700 1668352 1680700 1702400 1756160 1792000 1824760 1838704 1862000 1906688 1920800 1945600 2007040 2048000 2052125 2085440 2100875 2101376 2128000 2151296 2179072 2183461 2195200 2280950 2293760 2298380 2383360 2401000 2432000 2458624 2495384 2508800 2554664 2606800 2626720 2689120 2723840 2744000 2809856 2867200 2872975 2919616 2979200 3073280 3112960 3119230 3136000 3193330 3211264 3217732 3258500 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5991416984000 6135210991616 6260419379200 6458116833280 6589915136000 6710387022080 6847333696000 7011669704704 7063565286400 7669013739520 7825524224000 8072646041600 8387983777600 8764587130880 8829456608000 8943456256000 9041363566592 9225881190400 9586267174400 10090807552000 10484979722000 10736619235328 10955733913600 11301704458240 11532351488000 11982833968000 12270421983232 12520838758400 12916233666560 13420774044160 13694667392000 14127130572800 15338027479040 15651048448000 16145292083200 16775967555200 17529174261760 17658913216000 17886912512000 18082727133184 19172534348800 20181615104000 20969959444000 21473238470656 21911467827200 22603408916480 23064702976000 23965667936000 24540843966464 25041677516800 26841548088320 27389334784000 28254261145600 30676054958080 31302096896000 32290584166400 33551935110400 35058348523520 35317826432000 38345068697600 40363230208000 41939918888000 42946476941312 43822935654400 45206817832960 46129405952000 47931335872000 49081687932928 53683096176640 54778669568000 56508522291200 61352109916160 62604193792000 64581168332800 67103870220800 70635652864000 76690137395200 80726460416000 83879837776000 85892953882624 87645871308800 90413635665920 95862671744000 107366192353280 109557339136000 113017044582400 122704219832320 125208387584000 134207740441600 141271305728000 153380274790400 161452920832000 167759675552000 171785907765248 175291742617600 191725343488000 214732384706560 219114678272000 226034089164800 245408439664640 268415480883200 282542611456000 306760549580800 322905841664000 335519351104000 343571815530496 383450686976000 429464769413120 438229356544000 452068178329600 536830961766400 565085222912000 613521099161600 671038702208000 766901373952000 858929538826240 876458713088000 1073661923532800 1130170445824000 1227042198323200 1342077404416000 1533802747904000 1717859077652480 2147323847065600 2260340891648000 2684154808832000 3067605495808000 4294647694131200 5368309617664000 6135210991616000 8589295388262400 10736619235328000 21473238470656000 42946476941312000
• Sum of all divisors σ(n): 131648148772058880
• Sum of proper divisors (its aliquot sum) s(n): 88701671830746880
• 42946476941312000 is an abundant number, because the sum of its proper divisors (88701671830746880) is greater than itself. Its abundance is 45755194889434880

Bases of 42946476941312000

• Binary: 10011000100100111001011111011110011100010000000000000000₂
• Hexadecimal: 0x989397DE710000
• Base-36: BQV9751OJY8

Squares and roots of 42946476941312000

• 42946476941312000 squared (42946476941312000²) is 1844399881670643319092281344000000
• 42946476941312000 cubed (42946476941312000³) is 79210476988726864623113606506737280483328000000000
• The square root of 42946476941312000 is 207235317.7943180611
• The cube root of 42946476941312000 is 350194.3870974313

Scales and comparisons

• 42,946,476,941,312,000 seconds is equal to 1,365,565,124 years, 29 weeks, 6 hours, 13 minutes, 20 seconds.
• To count from 1 to 42,946,476,941,312,000 would take you about four billion, ninety-six million, six hundred ninety-five thousand, three 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 42946476941312000 cubic inches would be around 29182.9 feet tall.

Recreational maths with 42946476941312000

• 42946476941312000 backwards is 00021314967464924
• The number of decimal digits it has is: 17
• The sum of 42946476941312000's digits is 62
• More coming soon!