42264638640
42,264,638,640 is an even composite number composed of seven prime numbers multiplied together.
42264638640 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 42264638640:
24 × 32 × 5 × 7 × 31 × 157 × 1723
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 31 × 157 × 1723)See below for interesting mathematical facts about the number 42264638640 from the Numbermatics database.
Names of 42264638640
- Cardinal: 42264638640 can be written as Forty-two billion, two hundred sixty-four million, six hundred thirty-eight thousand, six hundred forty.
Scientific notation
- Scientific notation: 4.226463864 × 1010
Factors of 42264638640
Divisors of 42264638640
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 31 35 36 40 42 45 48 56 60 62 63 70 72 80 84 90 93 105 112 120 124 126 140 144 155 157 168 180 186 210 217 240 248 252 279 280 310 314 315 336 360 372 420 434 465 471 496 504 558 560 620 628 630 651 720 744 785 840 868 930 942 1008 1085 1099 1116 1240 1256 1260 1302 1395 1413 1488 1570 1680 1723 1736 1860 1884 1953 2170 2198 2232 2355 2480 2512 2520 2604 2790 2826 3140 3255 3297 3446 3472 3720 3768 3906 4340 4396 4464 4710 4867 5040 5169 5208 5495 5580 5652 6280 6510 6594 6892 7065 7440 7536 7812 8615 8680 8792 9420 9734 9765 9891 10338 10416 10990 11160 11304 12061 12560 13020 13188 13784 14130 14601 15507 15624 16485 17230 17360 17584 18840 19468 19530 19782 20676 21980 22320 22608 24122 24335 25845 26040 26376 27568 28260 29202 31014 31248 32970 34069 34460 36183 37680 38936 39060 39564 41352 43803 43960 48244 48670 49455 51690 52080 52752 53413 56520 58404 60305 62028 65940 68138 68920 72366 73005 77535 77872 78120 79128 82704 87606 87920 96488 97340 98910 102207 103380 106826 108549 113040 116808 120610 124056 131880 136276 137840 144732 146010 155070 156240 158256 160239 170345 175212 180915 192976 194680 197820 204414 206760 213652 217098 219015 233616 241220 248112 263760 267065 270511 272552 289464 292020 306621 310140 320478 340690 350424 361830 373891 389360 395640 408828 413520 427304 434196 438030 480717 482440 511035 534130 541022 542745 545104 578928 584040 613242 620280 640956 681380 700848 723660 747782 791280 801195 811533 817656 854608 868392 876060 961434 964880 1022070 1068260 1082044 1085490 1121673 1168080 1226484 1240560 1281912 1352555 1362760 1447320 1495564 1533105 1602390 1623066 1635312 1736784 1752120 1869455 1893577 1922868 2044140 2136520 2164088 2170980 2243346 2403585 2434599 2452968 2563824 2705110 2725520 2894640 2991128 3066210 3204780 3246132 3365019 3504240 3738910 3787154 3845736 4057665 4088280 4273040 4328176 4341960 4486692 4807170 4869198 4905936 5410220 5608365 5680731 5982256 6132420 6409560 6492264 6730038 7477820 7574308 7691472 8115330 8176560 8385841 8683920 8973384 9467885 9614340 9738396 10820440 11216730 11361462 12172995 12264840 12819120 12984528 13460076 14955640 15148616 16230660 16771682 16825095 17042193 17946768 18935770 19228680 19476792 21640880 22433460 22722924 24345990 24529680 25157523 26920152 28403655 29911280 30297232 32461320 33543364 33650190 34084386 37871540 38457360 38953584 41929205 44866920 45445848 48691980 50315046 53840304 56807310 58700887 64922640 67086728 67300380 68168772 75472569 75743080 83858410 85210965 89733840 90891696 97383960 100630092 113614620 117401774 125787615 134173456 134600760 136337544 150945138 151486160 167716820 170421930 176102661 194767920 201260184 227229240 234803548 251575230 269201520 272675088 293504435 301890276 335433640 340843860 352205322 377362845 402520368 454458480 469607096 503150460 528307983 587008870 603780552 670867280 681687720 704410644 754725690 880513305 939214192 1006300920 1056615966 1174017740 1207561104 1363375440 1408821288 1509451380 1761026610 2012601840 2113231932 2348035480 2641539915 2817642576 3018902760 3522053220 4226463864 4696070960 5283079830 6037805520 7044106440 8452927728 10566159660 14088212880 21132319320 42264638640
- Sum of all divisors σ(n): 168612827136
- Sum of proper divisors (its aliquot sum) s(n): 126348188496
- 42264638640 is an abundant number, because the sum of its proper divisors (126348188496) is greater than itself. Its abundance is 84083549856
Bases of 42264638640
- Binary: 1001110101110010101100110100101100002
- Hexadecimal: 0x9D72B34B0
- Base-36: JEZ9VW0
Squares and roots of 42264638640
- 42264638640 squared (422646386402) is 1786299679369781049600
- 42264638640 cubed (422646386403) is 75497310451311658997263916544000
-
The
square root of 42264638640 is 205583.6536303409 -
The
cube root of 42264638640 is 3483.3120865189
Scales and comparisons
How big is 42264638640?- 42,264,638,640 seconds is equal to 1,343 years, 46 weeks, 1 hour, 24 minutes.
-
To count from 1 to 42,264,638,640 would take you about two thousand, six hundred eighty-seven 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 42264638640 cubic inches would be around 290.3 feet tall.
Recreational maths with 42264638640
- 42264638640 backwards is 04683646224
- 42264638640 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 42264638640's digits is 45
- More coming soon!
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