42257009664
42,257,009,664 is an even composite number composed of five prime numbers multiplied together.
42257009664 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred fifty-two divisors.
Prime factorization of 42257009664:
210 × 33 × 31 × 47 × 1049
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 31 × 47 × 1049)See below for interesting mathematical facts about the number 42257009664 from the Numbermatics database.
Names of 42257009664
- Cardinal: 42257009664 can be written as Forty-two billion, two hundred fifty-seven million, nine thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 4.2257009664 × 1010
Factors of 42257009664
Divisors of 42257009664
- Number of divisors d(n): 352
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 47 48 54 62 64 72 93 94 96 108 124 128 141 144 186 188 192 216 248 256 279 282 288 372 376 384 423 432 496 512 558 564 576 744 752 768 837 846 864 992 1024 1049 1116 1128 1152 1269 1457 1488 1504 1536 1674 1692 1728 1984 2098 2232 2256 2304 2538 2914 2976 3008 3072 3147 3348 3384 3456 3968 4196 4371 4464 4512 4608 5076 5828 5952 6016 6294 6696 6768 6912 7936 8392 8742 8928 9024 9216 9441 10152 11656 11904 12032 12588 13113 13392 13536 13824 15872 16784 17484 17856 18048 18882 20304 23312 23808 24064 25176 26226 26784 27072 27648 28323 31744 32519 33568 34968 35712 36096 37764 39339 40608 46624 47616 48128 49303 50352 52452 53568 54144 56646 65038 67136 69936 71424 72192 75528 78678 81216 93248 95232 97557 98606 100704 104904 107136 108288 113292 130076 134272 139872 142848 144384 147909 151056 157356 162432 186496 195114 197212 201408 209808 214272 216576 226584 260152 268544 279744 285696 292671 295818 302112 314712 324864 372992 390228 394424 402816 419616 428544 433152 443727 453168 520304 537088 559488 585342 591636 604224 629424 649728 745984 780456 788848 805632 839232 857088 878013 887454 906336 1040608 1074176 1118976 1170684 1183272 1208448 1258848 1299456 1331181 1491968 1528393 1560912 1577696 1611264 1678464 1756026 1774908 1812672 2081216 2237952 2341368 2366544 2416896 2517696 2662362 3056786 3121824 3155392 3222528 3356928 3512052 3549816 3625344 4162432 4475904 4585179 4682736 4733088 4833792 5035392 5324724 6113572 6243648 6310784 6713856 7024104 7099632 7250688 8324864 9170358 9365472 9466176 9667584 10070784 10649448 12227144 12487296 12621568 13427712 13755537 14048208 14199264 14501376 16649728 18340716 18730944 18932352 20141568 21298896 24454288 24974592 25243136 27511074 28096416 28398528 29002752 33299456 36681432 37461888 37864704 40283136 41266611 42597792 48908576 49949184 50486272 55022148 56192832 56797056 73362864 74923776 75729408 82533222 85195584 97817152 99898368 110044296 112385664 113594112 146725728 149847552 151458816 165066444 170391168 195634304 220088592 224771328 227188224 293451456 299695104 330132888 340782336 391268608 440177184 449542656 454376448 586902912 660265776 681564672 782537216 880354368 899085312 1173805824 1320531552 1363129344 1565074432 1760708736 2347611648 2641063104 3521417472 4695223296 5282126208 7042834944 10564252416 14085669888 21128504832 42257009664
- Sum of all divisors σ(n): 132056064000
- Sum of proper divisors (its aliquot sum) s(n): 89799054336
- 42257009664 is an abundant number, because the sum of its proper divisors (89799054336) is greater than itself. Its abundance is 47542044672
Bases of 42257009664
- Binary: 1001110101101011011011001100000000002
- Hexadecimal: 0x9D6B6CC00
- Base-36: JEUQDC0
Squares and roots of 42257009664
- 42257009664 squared (422570096642) is 1785654865743389392896
- 42257009664 cubed (422570096643) is 75456434918287028119721364946944
-
The
square root of 42257009664 is 205565.0983605923 -
The
cube root of 42257009664 is 3483.1024888959
Scales and comparisons
How big is 42257009664?- 42,257,009,664 seconds is equal to 1,343 years, 33 weeks, 2 days, 18 hours, 14 minutes, 24 seconds.
-
To count from 1 to 42,257,009,664 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 42257009664 cubic inches would be around 290.3 feet tall.
Recreational maths with 42257009664
- 42257009664 backwards is 46690075224
- The number of decimal digits it has is: 11
- The sum of 42257009664's digits is 45
- More coming soon!
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