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3141975072 = 253291128583
BaseRepresentation
bin1011101101000110…
…1011110000100000
322002222011212112010
42323101223300200
522413321200242
61235435232520
7140601230115
oct27321536040
98088155463
103141975072
111372621415
127382a8740
133b0c33862
1421b40290c
15135c8a89c
hexbb46bc20

3141975072 has 48 divisors (see below), whose sum is σ = 8532095040. Its totient is φ = 1011209472.

The previous prime is 3141975061. The next prime is 3141975077. The reversal of 3141975072 is 2705791413.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3141975072.

It is not an unprimeable number, because it can be changed into a prime (3141975077) 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, 561508 + ... + 567075.

It is an arithmetic number, because the mean of its divisors is an integer number (177751980).

Almost surely, 23141975072 is an apocalyptic number.

3141975072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3141975072 is an abundant number, since it is smaller than the sum of its proper divisors (5390119968).

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

3141975072 is a wasteful number, since it uses less digits than its factorization.

3141975072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128625 (or 1128617 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The square root of 3141975072 is about 56053.3234697105. The cubic root of 3141975072 is about 1464.6513122163.

It can be divided in two parts, 31419 and 75072, that added together give a triangular number (106491 = T461).

The spelling of 3141975072 in words is "three billion, one hundred forty-one million, nine hundred seventy-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 1128583 2257166 3385749 4514332 6771498 9028664 13542996 18057328 27085992 32728907 36114656 54171984 65457814 98186721 108343968 130915628 196373442 261831256 392746884 523662512 785493768 1047325024 1570987536 3141975072