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3156725040 = 243573311237
BaseRepresentation
bin1011110000100111…
…1100110100110000
322010222221020200020
42330021330310300
522431110200130
61241123323440
7141140502000
oct27411746460
98128836606
103156725040
11137a986277
12741220580
133b3cc9451
1421d362000
15137200e10
hexbc27cd30

3156725040 has 320 divisors, whose sum is σ = 11789721600. Its totient is φ = 697697280.

The previous prime is 3156724981. The next prime is 3156725063. The reversal of 3156725040 is 405276513.

3156725040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3156724992 and 3156725010.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2551302 + ... + 2552538.

It is an arithmetic number, because the mean of its divisors is an integer number (36842880).

Almost surely, 23156725040 is an apocalyptic number.

3156725040 is a gapful number since it is divisible by the number (30) 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 3156725040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5894860800).

3156725040 is an abundant number, since it is smaller than the sum of its proper divisors (8632996560).

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

3156725040 is a wasteful number, since it uses less digits than its factorization.

3156725040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 3156725040 is about 56184.7402770539. The cubic root of 3156725040 is about 1466.9396649766.

The spelling of 3156725040 in words is "three billion, one hundred fifty-six million, seven hundred twenty-five thousand, forty".