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42023632024 = 23112431009601
BaseRepresentation
bin100111001000110011…
…011011110010011000
311000110200212200202201
4213020303123302120
51142031022211044
631145544135544
73015245656423
oct471063336230
9130420780681
1042023632024
1116905276800
1281897675b4
133c693b226a
1420692589ba
15115e4b67d4
hex9c8cdbc98

42023632024 has 48 divisors (see below), whose sum is σ = 88622863560. Its totient is φ = 18657408000.

The previous prime is 42023632019. The next prime is 42023632087.

42023632024 is nontrivially palindromic in base 10.

42023632024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 42023631983 and 42023632001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 463177 + ... + 546424.

Almost surely, 242023632024 is an apocalyptic number.

42023632024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42023632024 is an abundant number, since it is smaller than the sum of its proper divisors (46599231536).

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

42023632024 is a wasteful number, since it uses less digits than its factorization.

42023632024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009672 (or 1009657 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

The spelling of 42023632024 in words is "forty-two billion, twenty-three million, six hundred thirty-two thousand, twenty-four".

Divisors: 1 2 4 8 11 22 43 44 86 88 121 172 242 344 473 484 946 968 1892 3784 5203 10406 20812 41624 1009601 2019202 4038404 8076808 11105611 22211222 43412843 44422444 86825686 88844888 122161721 173651372 244323442 347302744 477541273 488646884 955082546 977293768 1910165092 3820330184 5252954003 10505908006 21011816012 42023632024