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42021612024 = 2337250128643
BaseRepresentation
bin100111001000101011…
…101110100111111000
311000110120002001211220
4213020223232213320
51142030013041044
631145432552040
73015222544260
oct471053564770
9130416061756
1042021612024
1116904117087
128188b52620
133c68b559b2
142068c907a0
15115e218019
hex9c8aee9f8

42021612024 has 32 divisors (see below), whose sum is σ = 120061749120. Its totient is φ = 12006174816.

The previous prime is 42021611969. The next prime is 42021612071.

It is a happy number.

42021612024 is nontrivially palindromic in base 10.

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 = 42021611985 and 42021612003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125064154 + ... + 125064489.

It is an arithmetic number, because the mean of its divisors is an integer number (3751929660).

Almost surely, 242021612024 is an apocalyptic number.

It is an amenable number.

42021612024 is an abundant number, since it is smaller than the sum of its proper divisors (78040137096).

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

42021612024 is a wasteful number, since it uses less digits than its factorization.

42021612024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250128659 (or 250128655 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The spelling of 42021612024 in words is "forty-two billion, twenty-one million, six hundred twelve thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 250128643 500257286 750385929 1000514572 1500771858 1750900501 2001029144 3001543716 3501801002 5252701503 6003087432 7003602004 10505403006 14007204008 21010806012 42021612024