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42855417241 = 7131812719601
BaseRepresentation
bin100111111010011000…
…011100010110011001
311002121200000202120121
4213322120130112121
51200231441322431
631404300153241
73044666015260
oct477230342631
9132550022517
1042855417241
11171a18472aa
128380238821
13406c813870
1421078d95d7
1511ac51b611
hex9fa61c599

42855417241 has 32 divisors (see below), whose sum is σ = 53237789696. Its totient is φ = 33592320000.

The previous prime is 42855417229. The next prime is 42855417259. The reversal of 42855417241 is 14271455824.

It is a 8-Lehmer number, since φ(42855417241) divides (42855417241-1)8.

It is a cyclic number.

It is not a de Polignac number, because 42855417241 - 213 = 42855409049 is a prime.

It is the 207016-th Hogben number.

It is not an unprimeable number, because it can be changed into a prime (42855417221) by changing a digit.

It is a nontrivial repunit in base 207015.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4458841 + ... + 4468441.

It is an arithmetic number, because the mean of its divisors is an integer number (1663680928).

Almost surely, 242855417241 is an apocalyptic number.

It is an amenable number.

42855417241 is a deficient number, since it is larger than the sum of its proper divisors (10382372455).

42855417241 is a wasteful number, since it uses less digits than its factorization.

42855417241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10073.

The product of its digits is 358400, while the sum is 43.

The spelling of 42855417241 in words is "forty-two billion, eight hundred fifty-five million, four hundred seventeen thousand, two hundred forty-one".

Divisors: 1 7 13 91 181 271 1267 1897 2353 3523 9601 16471 24661 49051 67207 124813 343357 637663 873691 1737781 2601871 4463641 12164467 18213097 22591153 33824323 158138071 236770261 470938651 3296570557 6122202463 42855417241