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42023432024 = 2375591134219
BaseRepresentation
bin100111001000110010…
…101010111101011000
311000110200111112102022
4213020302222331120
51142030444311044
631145535554012
73015244164350
oct471062527530
9130420445368
1042023432024
111690514a512
12818968b908
133c69342212
142069205b60
15115e4773ee
hex9c8caaf58

42023432024 has 32 divisors (see below), whose sum is σ = 90066988800. Its totient is φ = 18006686880.

The previous prime is 42023432023. The next prime is 42023432029.

It is a happy number.

42023432024 is nontrivially palindromic in base 10.

42023432024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 42023431984 and 42023432002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42023432023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 245987 + ... + 380205.

It is an arithmetic number, because the mean of its divisors is an integer number (2814593400).

Almost surely, 242023432024 is an apocalyptic number.

It is an amenable number.

42023432024 is an abundant number, since it is smaller than the sum of its proper divisors (48043556776).

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

42023432024 is a wasteful number, since it uses less digits than its factorization.

42023432024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139823 (or 139819 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

The spelling of 42023432024 in words is "forty-two billion, twenty-three million, four hundred thirty-two thousand, twenty-four".

Divisors: 1 2 4 7 8 14 28 56 5591 11182 22364 39137 44728 78274 134219 156548 268438 313096 536876 939533 1073752 1879066 3758132 7516264 750418429 1500836858 3001673716 5252929003 6003347432 10505858006 21011716012 42023432024