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42040400424 = 23311787202343
BaseRepresentation
bin100111001001110011…
…011001101000101000
311000111212102121200120
4213021303121220220
51142044320303144
631151343403240
73015541336041
oct471163315050
9130455377616
1042040400424
111691378a090
1281932b3520
133c6ca037a9
14206b5818c8
151160bc9e19
hex9c9cd9a28

42040400424 has 64 divisors (see below), whose sum is σ = 114801891840. Its totient is φ = 12723264960.

The previous prime is 42040400329. The next prime is 42040400429. The reversal of 42040400424 is 42400404024.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 42040400394 and 42040400403.

It is not an unprimeable number, because it can be changed into a prime (42040400429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106597 + ... + 308939.

It is an arithmetic number, because the mean of its divisors is an integer number (1793779560).

Almost surely, 242040400424 is an apocalyptic number.

42040400424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42040400424 is an abundant number, since it is smaller than the sum of its proper divisors (72761491416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42040400424 is a wasteful number, since it uses less digits than its factorization.

42040400424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203150 (or 203146 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 42040400424 its reverse (42400404024), we get a palindrome (84440804448).

The spelling of 42040400424 in words is "forty-two billion, forty million, four hundred thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 787 1574 2361 3148 4722 6296 8657 9444 17314 18888 25971 34628 51942 69256 103884 202343 207768 404686 607029 809372 1214058 1618744 2225773 2428116 4451546 4856232 6677319 8903092 13354638 17806184 26709276 53418552 159243941 318487882 477731823 636975764 955463646 1273951528 1751683351 1910927292 3503366702 3821854584 5255050053 7006733404 10510100106 14013466808 21020200212 42040400424