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3140914592 = 252328115187
BaseRepresentation
bin1011101100110110…
…1000110110100000
322002220011222211002
42323031220312200
522413033231332
61235400411132
7140556222254
oct27315506640
98086158732
103140914592
111371a67692
12737a76aa8
133b0951c5a
1421b208264
15135b2b562
hexbb368da0

3140914592 has 48 divisors (see below), whose sum is σ = 6475920192. Its totient is φ = 1496732160.

The previous prime is 3140914573. The next prime is 3140914631. The reversal of 3140914592 is 2954190413.

3140914592 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 199223 + ... + 214409.

It is an arithmetic number, because the mean of its divisors is an integer number (134915004).

Almost surely, 23140914592 is an apocalyptic number.

3140914592 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 3140914592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3237960096).

3140914592 is an abundant number, since it is smaller than the sum of its proper divisors (3335005600).

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

3140914592 is a wasteful number, since it uses less digits than its factorization.

3140914592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15501 (or 15493 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 3140914592 is about 56043.8631073912. The cubic root of 3140914592 is about 1464.4865105475.

The spelling of 3140914592 in words is "three billion, one hundred forty million, nine hundred fourteen thousand, five hundred ninety-two".

Divisors: 1 2 4 8 16 23 32 46 92 184 281 368 562 736 1124 2248 4496 6463 8992 12926 15187 25852 30374 51704 60748 103408 121496 206816 242992 349301 485984 698602 1397204 2794408 4267547 5588816 8535094 11177632 17070188 34140376 68280752 98153581 136561504 196307162 392614324 785228648 1570457296 3140914592