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42010102024 = 231117257109267
BaseRepresentation
bin100111000111111111…
…110100100100001000
311000102202102022002121
4213013333310210020
51142014041231044
631144342141024
73015022655362
oct470777644410
9130382368077
1042010102024
11168a8675490
128185121774
133c66655a47
142067535d32
15115d1e2984
hex9c7ff4908

42010102024 has 64 divisors (see below), whose sum is σ = 91339306560. Its totient is φ = 17902141440.

The previous prime is 42010101937. The next prime is 42010102039. The reversal of 42010102024 is 42020101024.

It is a junction number, because it is equal to n+sod(n) for n = 42010101989 and 42010102007.

It is an unprimeable number.

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, 329839 + ... + 439105.

It is an arithmetic number, because the mean of its divisors is an integer number (1427176665).

Almost surely, 242010102024 is an apocalyptic number.

42010102024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42010102024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45669653280).

42010102024 is an abundant number, since it is smaller than the sum of its proper divisors (49329204536).

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

42010102024 is a wasteful number, since it uses less digits than its factorization.

42010102024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109558 (or 109554 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 42010102024 its reverse (42020101024), we get a palindrome (84030203048).

The spelling of 42010102024 in words is "forty-two billion, ten million, one hundred two thousand, twenty-four".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 257 374 514 748 1028 1496 2056 2827 4369 5654 8738 11308 17476 22616 34952 48059 96118 109267 192236 218534 384472 437068 874136 1201937 1857539 2403874 3715078 4807748 7430156 9615496 14860312 20432929 28081619 40865858 56163238 81731716 112326476 163463432 224652952 308897809 477387523 617795618 954775046 1235591236 1909550092 2471182472 3819100184 5251262753 10502525506 21005051012 42010102024