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4158317142 = 233753207563
BaseRepresentation
bin1111011111011010…
…1110001001010110
3101201210121101202000
43313312232021112
532004012122032
61524343100130
7205022053410
oct36766561126
911653541660
104158317142
111844297241
12980741646
135136731b5
142b63a59b0
151950e8e7c
hexf7dae256

4158317142 has 64 divisors (see below), whose sum is σ = 10760117760. Its totient is φ = 1165668192.

The previous prime is 4158317123. The next prime is 4158317159. The reversal of 4158317142 is 2417138514.

4158317142 is a `hidden beast` number, since 4 + 1 + 583 + 1 + 71 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4158317097 and 4158317106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83748 + ... + 123815.

It is an arithmetic number, because the mean of its divisors is an integer number (168126840).

Almost surely, 24158317142 is an apocalyptic number.

4158317142 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

4158317142 is an abundant number, since it is smaller than the sum of its proper divisors (6601800618).

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

4158317142 is a wasteful number, since it uses less digits than its factorization.

4158317142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207634 (or 207628 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 4158317142 is about 64485.0148639201. The cubic root of 4158317142 is about 1608.0734052589.

The spelling of 4158317142 in words is "four billion, one hundred fifty-eight million, three hundred seventeen thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 53 54 63 106 126 159 189 318 371 378 477 742 954 1113 1431 2226 2862 3339 6678 10017 20034 207563 415126 622689 1245378 1452941 1868067 2905882 3736134 4358823 5604201 8717646 11000839 11208402 13076469 22001678 26152938 33002517 39229407 66005034 77005873 78458814 99007551 154011746 198015102 231017619 297022653 462035238 594045306 693052857 1386105714 2079158571 4158317142