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3140122752 = 27321321272
BaseRepresentation
bin1011101100101010…
…0111100010000000
322002211200202121200
42323022213202000
522412332412002
61235331421200
7140546413554
oct27312474200
98084622550
103140122752
111371576778
12737754800
133b0735700
1421b07d864
15135a21b1c
hexbb2a7880

3140122752 has 216 divisors, whose sum is σ = 9862227765. Its totient is φ = 958583808.

The previous prime is 3140122709. The next prime is 3140122753. The reversal of 3140122752 is 2572210413.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3140122752 is a `hidden beast` number, since 31 + 401 + 227 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2684897856 + 455224896 = 51816^2 + 21336^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=39624.

It is not an unprimeable number, because it can be changed into a prime (3140122753) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 24725313 + ... + 24725439.

Almost surely, 23140122752 is an apocalyptic number.

3140122752 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 3140122752

3140122752 is an abundant number, since it is smaller than the sum of its proper divisors (6722105013).

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

3140122752 is a wasteful number, since it uses less digits than its factorization.

3140122752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 3140122752 is about 56036.7981954715. The cubic root of 3140122752 is about 1464.3634321226.

The spelling of 3140122752 in words is "three billion, one hundred forty million, one hundred twenty-two thousand, seven hundred fifty-two".