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4142017624 = 2312714927361
BaseRepresentation
bin1111011011100010…
…0010110001011000
3101200122221022000011
43312320202301120
531440324030444
61523001451304
7204433366063
oct36670426130
911618838004
104142017624
111836074168
129771a0b34
13510187204
142b41618da
15193979734
hexf6e22c58

4142017624 has 32 divisors (see below), whose sum is σ = 7880256000. Its totient is φ = 2040837120.

The previous prime is 4142017619. The next prime is 4142017631. The reversal of 4142017624 is 4267102414.

4142017624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 137704 + ... + 165064.

It is an arithmetic number, because the mean of its divisors is an integer number (246258000).

Almost surely, 24142017624 is an apocalyptic number.

It is an amenable number.

4142017624 is a deficient number, since it is larger than the sum of its proper divisors (3738238376).

4142017624 is a wasteful number, since it uses less digits than its factorization.

4142017624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27643 (or 27639 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 4142017624 is about 64358.5085594749. The cubic root of 4142017624 is about 1605.9695780121.

The spelling of 4142017624 in words is "four billion, one hundred forty-two million, seventeen thousand, six hundred twenty-four".

Divisors: 1 2 4 8 127 149 254 298 508 596 1016 1192 18923 27361 37846 54722 75692 109444 151384 218888 3474847 4076789 6949694 8153578 13899388 16307156 27798776 32614312 517752203 1035504406 2071008812 4142017624