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42141410031 = 3719105617569
BaseRepresentation
bin100111001111110100…
…101110001011101111
311000202220111102211010
4213033310232023233
51142301200110111
631205352400303
73021206034510
oct471764561357
9130686442733
1042141410031
11169658000a6
1282010a6093
133c8790b9a6
14207ab56a07
1511699cdaa6
hex9cfd2e2ef

42141410031 has 16 divisors (see below), whose sum is σ = 67595244800. Its totient is φ = 22813394688.

The previous prime is 42141410027. The next prime is 42141410063. The reversal of 42141410031 is 13001414124.

It is not a de Polignac number, because 42141410031 - 22 = 42141410027 is a prime.

It is a super-2 number, since 2×421414100312 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42141410011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52808386 + ... + 52809183.

It is an arithmetic number, because the mean of its divisors is an integer number (4224702800).

Almost surely, 242141410031 is an apocalyptic number.

42141410031 is a deficient number, since it is larger than the sum of its proper divisors (25453834769).

42141410031 is a wasteful number, since it uses less digits than its factorization.

42141410031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105617598.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 42141410031 its reverse (13001414124), we get a palindrome (55142824155).

The spelling of 42141410031 in words is "forty-two billion, one hundred forty-one million, four hundred ten thousand, thirty-one".

Divisors: 1 3 7 19 21 57 133 399 105617569 316852707 739322983 2006733811 2217968949 6020201433 14047136677 42141410031