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3142887168 = 28315232687
BaseRepresentation
bin1011101101010100…
…1010011100000000
322010000220012200110
42323111022130000
522414034342133
61235510551320
7140612046231
oct27325123400
98100805613
103142887168
111373094713
12738668540
133b1192a65
1421b59d088
15135dbac63
hexbb54a700

3142887168 has 72 divisors (see below), whose sum is σ = 8373270528. Its totient is φ = 1046551552.

The previous prime is 3142887127. The next prime is 3142887169. The reversal of 3142887168 is 8617882413.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3142887169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1168321 + ... + 1171007.

It is an arithmetic number, because the mean of its divisors is an integer number (116295424).

Almost surely, 23142887168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3142887168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4186635264).

3142887168 is an abundant number, since it is smaller than the sum of its proper divisors (5230383360).

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

3142887168 is a wasteful number, since it uses less digits than its factorization.

3142887168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4229 (or 4215 counting only the distinct ones).

The product of its digits is 516096, while the sum is 48.

The square root of 3142887168 is about 56061.4588465195. The cubic root of 3142887168 is about 1464.7930249209.

The spelling of 3142887168 in words is "three billion, one hundred forty-two million, eight hundred eighty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 1523 2687 3046 4569 5374 6092 8061 9138 10748 12184 16122 18276 21496 24368 32244 36552 42992 48736 64488 73104 85984 97472 128976 146208 171968 194944 257952 292416 343936 389888 515904 584832 687872 1031808 1169664 2063616 4092301 8184602 12276903 16369204 24553806 32738408 49107612 65476816 98215224 130953632 196430448 261907264 392860896 523814528 785721792 1047629056 1571443584 3142887168