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4142075931 = 327891794127
BaseRepresentation
bin1111011011100011…
…0001000000011011
3101200200001020222200
43312320301000123
531440332412211
61523003021243
7204434031060
oct36670610033
911620036880
104142075931
111836103a54
1297720a823
135101a7906
142b4178c67
1519398bb56
hexf6e3101b

4142075931 has 48 divisors (see below), whose sum is σ = 6954854400. Its totient is φ = 2326667904.

The previous prime is 4142075897. The next prime is 4142075933. The reversal of 4142075931 is 1395702414.

4142075931 is a `hidden beast` number, since 41 + 4 + 20 + 7 + 593 + 1 = 666.

4142075931 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4142075931 - 29 = 4142075419 is a prime.

It is a super-2 number, since 2×41420759312 = 34313586036339033522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4142075933) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1001590 + ... + 1005716.

It is an arithmetic number, because the mean of its divisors is an integer number (144892800).

Almost surely, 24142075931 is an apocalyptic number.

4142075931 is a deficient number, since it is larger than the sum of its proper divisors (2812778469).

4142075931 is a wasteful number, since it uses less digits than its factorization.

4142075931 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4408 (or 4405 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 4142075931 is about 64358.9615438285. The cubic root of 4142075931 is about 1605.9771136978.

The spelling of 4142075931 in words is "four billion, one hundred forty-two million, seventy-five thousand, nine hundred thirty-one".

Divisors: 1 3 7 9 21 63 89 179 267 537 623 801 1253 1611 1869 3759 4127 5607 11277 12381 15931 28889 37143 47793 86667 111517 143379 260001 334551 367303 738733 1003653 1101909 2216199 2571121 3305727 5171131 6648597 7713363 15513393 23140089 46540179 65747237 197241711 460230659 591725133 1380691977 4142075931