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42113440431 = 334639336227
BaseRepresentation
bin100111001110001010…
…000001101010101111
311000200221212102202000
4213032022001222233
51142222020043211
631202513103343
73020416223466
oct471612015257
9130627772660
1042113440431
1116950a37127
1281b3857b53
133c81b97c2a
1420771559dd
151167306656
hex9ce281aaf

42113440431 has 16 divisors (see below), whose sum is σ = 62403916800. Its totient is φ = 28069491384.

The previous prime is 42113440361. The next prime is 42113440463. The reversal of 42113440431 is 13404431124.

42113440431 is a `hidden beast` number, since 4 + 211 + 3 + 440 + 4 + 3 + 1 = 666.

42113440431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42113440431 - 214 = 42113424047 is a prime.

It is a super-2 number, since 2×421134404312 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 42113440395 and 42113440404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42113442431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42861 + ... + 293366.

It is an arithmetic number, because the mean of its divisors is an integer number (3900244800).

Almost surely, 242113440431 is an apocalyptic number.

42113440431 is a deficient number, since it is larger than the sum of its proper divisors (20290476369).

42113440431 is a wasteful number, since it uses less digits than its factorization.

42113440431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340875 (or 340869 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 42113440431 its reverse (13404431124), we get a palindrome (55517871555).

The spelling of 42113440431 in words is "forty-two billion, one hundred thirteen million, four hundred forty thousand, four hundred thirty-one".

Divisors: 1 3 9 27 4639 13917 41751 125253 336227 1008681 3026043 9078129 1559757053 4679271159 14037813477 42113440431