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42204056224 = 25111071120541
BaseRepresentation
bin100111010011100011…
…101100101010100000
311000221021101012020111
4213103203230222200
51142413214244344
631215511221104
73022566362461
oct472343545240
9130837335214
1042204056224
11169980a9110
12821a077794
133c978a4245
1420851c2d68
151170255834
hex9d38ecaa0

42204056224 has 48 divisors (see below), whose sum is σ = 91490013216. Its totient is φ = 19004358400.

The previous prime is 42204056189. The next prime is 42204056263. The reversal of 42204056224 is 42265040224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 522607 + ... + 597934.

It is an arithmetic number, because the mean of its divisors is an integer number (1906041942).

Almost surely, 242204056224 is an apocalyptic number.

42204056224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42204056224 is an abundant number, since it is smaller than the sum of its proper divisors (49285956992).

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

42204056224 is a wasteful number, since it uses less digits than its factorization.

42204056224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120669 (or 1120661 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 31.

Adding to 42204056224 its reverse (42265040224), we get a palindrome (84469096448).

The spelling of 42204056224 in words is "forty-two billion, two hundred four million, fifty-six thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 107 176 214 352 428 856 1177 1712 2354 3424 4708 9416 18832 37664 1120541 2241082 4482164 8964328 12325951 17928656 24651902 35857312 49303804 98607608 119897887 197215216 239795774 394430432 479591548 959183096 1318876757 1918366192 2637753514 3836732384 5275507028 10551014056 21102028112 42204056224