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42015220042401 = 3223962993100949
BaseRepresentation
bin10011000110110011011100…
…10001000000101010100001
312111202121121220222010101200
421203121232101000222201
521001334132312324101
6225205305311351413
711564333214552204
oct1143315621005241
9174677556863350
1042015220042401
1112429611419aa1
1248669b8222569
131a5a03112b988
14a537944ab93b
154ccda3ec6986
hex26366e440aa1

42015220042401 has 24 divisors (see below), whose sum is σ = 60952273200000. Its totient is φ = 27888512279712.

The previous prime is 42015220042391. The next prime is 42015220042441. The reversal of 42015220042401 is 10424002251024.

It is a happy number.

42015220042401 is a `hidden beast` number, since 4 + 2 + 0 + 1 + 52 + 200 + 4 + 2 + 401 = 666.

It is not a de Polignac number, because 42015220042401 - 219 = 42015219518113 is a prime.

It is a super-2 number, since 2×420152200424012 (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42015220042441) 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 23 ways as a sum of consecutive naturals, for example, 11998675 + ... + 15099623.

It is an arithmetic number, because the mean of its divisors is an integer number (2539678050000).

Almost surely, 242015220042401 is an apocalyptic number.

It is an amenable number.

42015220042401 is a deficient number, since it is larger than the sum of its proper divisors (18937053157599).

42015220042401 is a wasteful number, since it uses less digits than its factorization.

42015220042401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3107493 (or 3107490 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 42015220042401 its reverse (10424002251024), we get a palindrome (52439222293425).

The spelling of 42015220042401 in words is "forty-two trillion, fifteen billion, two hundred twenty million, forty-two thousand, four hundred one".

Divisors: 1 3 9 239 717 2151 6299 18897 56691 1505461 3100949 4516383 9302847 13549149 27908541 741126811 2223380433 6670141299 19532877751 58598633253 175795899759 4668357782489 14005073347467 42015220042401