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3140565312 = 26317256599
BaseRepresentation
bin1011101100110001…
…0011100101000000
322002212112020200210
42323030103211000
522412441042222
61235345114120
7140553236043
oct27314234500
98085466623
103140565312
111371849225
12737928940
133b085bc91
1421b156c5a
15135aacd0c
hexbb313940

3140565312 has 84 divisors (see below), whose sum is σ = 8827109600. Its totient is φ = 985257984.

The previous prime is 3140565299. The next prime is 3140565349. The reversal of 3140565312 is 2135650413.

It is a self number, because there is not a number n which added to its sum of digits gives 3140565312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27189 + ... + 83787.

Almost surely, 23140565312 is an apocalyptic number.

3140565312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3140565312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4413554800).

3140565312 is an abundant number, since it is smaller than the sum of its proper divisors (5686544288).

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

3140565312 is a wasteful number, since it uses less digits than its factorization.

3140565312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56648 (or 56621 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 3140565312 is about 56040.7468900977. The cubic root of 3140565312 is about 1464.4322233014.

The spelling of 3140565312 in words is "three billion, one hundred forty million, five hundred sixty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 289 408 544 578 816 867 1088 1156 1632 1734 2312 3264 3468 4624 6936 9248 13872 18496 27744 55488 56599 113198 169797 226396 339594 452792 679188 905584 962183 1358376 1811168 1924366 2716752 2886549 3622336 3848732 5433504 5773098 7697464 10867008 11546196 15394928 16357111 23092392 30789856 32714222 46184784 49071333 61579712 65428444 92369568 98142666 130856888 184739136 196285332 261713776 392570664 523427552 785141328 1046855104 1570282656 3140565312