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42052342320 = 243456489559
BaseRepresentation
bin100111001010100000…
…111101001000110000
311000112200220022220000
4213022200331020300
51142110344423240
631152451350000
73016045004052
oct471240751060
9130480808800
1042052342320
111691a4a621a
1281972b2300
133c723251c1
14206cdad8d2
151161c88430
hex9ca83d230

42052342320 has 100 divisors (see below), whose sum is σ = 146054037360. Its totient is φ = 11213956224.

The previous prime is 42052342303. The next prime is 42052342361. The reversal of 42052342320 is 2324325024.

It is a happy number.

42052342320 is a `hidden beast` number, since 420 + 5 + 2 + 3 + 4 + 232 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3238300 + ... + 3251259.

Almost surely, 242052342320 is an apocalyptic number.

42052342320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42052342320 is an abundant number, since it is smaller than the sum of its proper divisors (104001695040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42052342320 is a wasteful number, since it uses less digits than its factorization.

42052342320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6489584 (or 6489569 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 42052342320 its reverse (2324325024), we get a palindrome (44376667344).

The spelling of 42052342320 in words is "forty-two billion, fifty-two million, three hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 6489559 12979118 19468677 25958236 32447795 38937354 51916472 58406031 64895590 77874708 97343385 103832944 116812062 129791180 155749416 175218093 194686770 233624124 259582360 292030155 311498832 350436186 389373540 467248248 519164720 525654279 584060310 700872372 778747080 876090465 934496496 1051308558 1168120620 1401744744 1557494160 1752180930 2102617116 2336241240 2628271395 2803489488 3504361860 4205234232 4672482480 5256542790 7008723720 8410468464 10513085580 14017447440 21026171160 42052342320