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42415012653441 = 3827110315499487
BaseRepresentation
bin10011010010011100000111…
…10000110010100110000001
312120011211120011022001012220
421221032003300302212001
521024411421214402231
6230113104322441253
711635245360642531
oct1151160360624601
9176154504261186
1042415012653441
1112573118981a5a
124910391b03229
131a889457c674c
14a68c7ccc74c1
154d84a25a6896
hex269383c32981

42415012653441 has 16 divisors (see below), whose sum is σ = 56673071898624. Its totient is φ = 28216876260944.

The previous prime is 42415012653427. The next prime is 42415012653493. The reversal of 42415012653441 is 14435621051424.

It is a cyclic number.

It is not a de Polignac number, because 42415012653441 - 214 = 42415012637057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42415012653393 and 42415012653402.

It is not an unprimeable number, because it can be changed into a prime (42415012653241) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5013201 + ... + 10486286.

It is an arithmetic number, because the mean of its divisors is an integer number (3542066993664).

Almost surely, 242415012653441 is an apocalyptic number.

It is an amenable number.

42415012653441 is a deficient number, since it is larger than the sum of its proper divisors (14258059245183).

42415012653441 is a wasteful number, since it uses less digits than its factorization.

42415012653441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15501420.

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 42415012653441 in words is "forty-two trillion, four hundred fifteen billion, twelve million, six hundred fifty-three thousand, four hundred forty-one".

Divisors: 1 3 827 1103 2481 3309 912181 2736543 15499487 46498461 12818075749 17095934161 38454227247 51287802483 14138337551147 42415012653441