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3142520040 = 23351121729439
BaseRepresentation
bin1011101101001111…
…0000110011101000
322010000012120002010
42323103300303220
522413441120130
61235455035520
7140605660002
oct27323606350
98100176063
103142520040
111372963900
1273850bba0
133b109491a
1421b505372
15135d470b0
hexbb4f0ce8

3142520040 has 384 divisors, whose sum is σ = 11376288000. Its totient is φ = 690708480.

The previous prime is 3142520039. The next prime is 3142520047. The reversal of 3142520040 is 400252413.

It is a junction number, because it is equal to n+sod(n) for n = 3142519989 and 3142520016.

It is not an unprimeable number, because it can be changed into a prime (3142520047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7158141 + ... + 7158579.

It is an arithmetic number, because the mean of its divisors is an integer number (29625750).

Almost surely, 23142520040 is an apocalyptic number.

3142520040 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 3142520040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5688144000).

3142520040 is an abundant number, since it is smaller than the sum of its proper divisors (8233767960).

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

3142520040 is a wasteful number, since it uses less digits than its factorization.

3142520040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 3142520040 is about 56058.1844158371. The cubic root of 3142520040 is about 1464.7359874004.

Adding to 3142520040 its reverse (400252413), we get a palindrome (3542772453).

The spelling of 3142520040 in words is "three billion, one hundred forty-two million, five hundred twenty thousand, forty".