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3140681544 = 23327111343577
BaseRepresentation
bin1011101100110010…
…1111111101001000
322002212202011010200
42323030233331020
522413003302134
61235351412200
7140554231650
oct27314577510
98085664120
103140681544
111371918590
12737984060
133b089cb60
1421b187360
15135ad2499
hexbb32ff48

3140681544 has 192 divisors, whose sum is σ = 11420922240. Its totient is φ = 752993280.

The previous prime is 3140681519. The next prime is 3140681591. The reversal of 3140681544 is 4451860413.

3140681544 is a `hidden beast` number, since 31 + 4 + 0 + 6 + 81 + 544 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3140681499 and 3140681508.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50284 + ... + 93860.

It is an arithmetic number, because the mean of its divisors is an integer number (59483970).

Almost surely, 23140681544 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 3140681544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5710461120).

3140681544 is an abundant number, since it is smaller than the sum of its proper divisors (8280240696).

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

3140681544 is a wasteful number, since it uses less digits than its factorization.

3140681544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43620 (or 43613 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 3140681544 is about 56041.7839116494. The cubic root of 3140681544 is about 1464.4502892407.

The spelling of 3140681544 in words is "three billion, one hundred forty million, six hundred eighty-one thousand, five hundred forty-four".