42226961920
42,226,961,920 is an even composite number composed of six prime numbers multiplied together.
What does the number 42226961920 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 480 divisors.
42226961920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 42226961920:
29 × 5 × 11 × 132 × 19 × 467
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 11 × 13 × 13 × 19 × 467)See below for interesting mathematical facts about the number 42226961920 from the Numbermatics database.
Names of 42226961920
- Cardinal: 42226961920 can be written as Forty-two billion, two hundred twenty-six million, nine hundred sixty-one thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 4.222696192 × 1010
Factors of 42226961920
Divisors of 42226961920
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 4 5 8 10 11 13 16 19 20 22 26 32 38 40 44 52 55 64 65 76 80 88 95 104 110 128 130 143 152 160 169 176 190 208 209 220 247 256 260 286 304 320 338 352 380 416 418 440 467 494 512 520 572 608 640 676 704 715 760 832 836 845 880 934 988 1040 1045 1144 1216 1235 1280 1352 1408 1430 1520 1664 1672 1690 1760 1859 1868 1976 2080 2090 2288 2335 2432 2470 2560 2704 2717 2816 2860 3040 3211 3328 3344 3380 3520 3718 3736 3952 4160 4180 4576 4670 4864 4940 5137 5408 5434 5632 5720 6071 6080 6422 6656 6688 6760 7040 7436 7472 7904 8320 8360 8873 9152 9295 9340 9728 9880 10274 10816 10868 11440 12142 12160 12844 13376 13520 13585 14080 14872 14944 15808 16055 16640 16720 17746 18304 18590 18680 19760 20548 21632 21736 22880 24284 24320 25685 25688 26752 27040 27170 28160 29744 29888 30355 31616 32110 33280 33440 35321 35492 36608 37180 37360 39520 41096 43264 43472 44365 45760 48568 48640 51370 51376 53504 54080 54340 59488 59776 60710 63232 64220 66781 66880 70642 70984 73216 74360 74720 78923 79040 82192 86528 86944 88730 91520 97136 97603 102740 102752 107008 108160 108680 115349 118976 119552 121420 126464 128440 133562 133760 141284 141968 148720 149440 157846 158080 164384 173888 176605 177460 183040 194272 195206 205480 205504 216320 217360 230698 237952 239104 242840 256880 267124 267520 282568 283936 297440 298880 315692 316160 328768 333905 347776 353210 354920 366080 388544 390412 394615 410960 411008 432640 434720 461396 475904 485680 488015 513760 534248 535040 565136 567872 576745 594880 597760 631384 632320 657536 667810 695552 706420 709840 777088 780824 789230 821920 822016 868153 869440 922792 951808 971360 976030 1027520 1068496 1130272 1135744 1153490 1189760 1195520 1262768 1268839 1315072 1335620 1391104 1412840 1419680 1499537 1554176 1561648 1578460 1643840 1644032 1736306 1738880 1845584 1942720 1952060 2055040 2136992 2260544 2271488 2306980 2379520 2525536 2537678 2630144 2671240 2825680 2839360 2999074 3108352 3123296 3156920 3287680 3472612 3477760 3691168 3885440 3904120 4110080 4273984 4340765 4521088 4542976 4613960 4759040 5051072 5075356 5342480 5651360 5678720 5998148 6246592 6313840 6344195 6575360 6945224 6955520 7382336 7497685 7770880 7808240 8220160 8547968 8681530 9042176 9227920 10102144 10150712 10684960 11302720 11357440 11996296 12493184 12627680 12688390 13150720 13890448 14764672 14995370 15541760 15616480 16494907 17095936 17363060 18084352 18455840 20204288 20301424 21369920 22605440 22714880 23992592 24986368 25255360 25376780 27780896 29529344 29990740 31232960 32989814 34191872 34726120 36911680 40408576 40602848 42739840 45210880 47985184 49972736 50510720 50753560 55561792 59058688 59981480 62465920 65979628 69452240 73823360 81205696 82474535 85479680 90421760 95970368 101021440 101507120 111123584 119962960 124931840 131959256 138904480 147646720 162411392 164949070 170959360 191940736 202042880 203014240 222247168 239925920 249863680 263918512 277808960 295293440 324822784 329898140 383881472 406028480 444494336 479851840 527837024 555617920 649645568 659796280 767762944 812056960 959703680 1055674048 1111235840 1319592560 1624113920 1919407360 2111348096 2222471680 2639185120 3248227840 3838814720 4222696192 5278370240 8445392384 10556740480 21113480960 42226961920
- Sum of all divisors σ(n): 126163889280
- Sum of proper divisors (its aliquot sum) s(n): 83936927360
- 42226961920 is an abundant number, because the sum of its proper divisors (83936927360) is greater than itself. Its abundance is 41709965440
Bases of 42226961920
- Binary: 1001110101001110110001001110000000002
- Hexadecimal: 0x9D4EC4E00
- Base-36: JECUCCG
Squares and roots of 42226961920
- 42226961920 squared (422269619202) is 1783116312993130086400
- 42226961920 cubed (422269619203) is 75295584647691705380019109888000
-
The
square root of 42226961920 is 205491.9996496213 -
The
cube root of 42226961920 is 3482.2767151421
Scales and comparisons
How big is 42226961920?- 42,226,961,920 seconds is equal to 1,342 years, 35 weeks, 4 days, 23 hours, 38 minutes, 40 seconds.
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To count from 1 to 42,226,961,920 would take you about two thousand, six hundred eighty-five 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 42226961920 cubic inches would be around 290.2 feet tall.
Recreational maths with 42226961920
- 42226961920 backwards is 02916962224
- The number of decimal digits it has is: 11
- The sum of 42226961920's digits is 43
- More coming soon!
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