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3523140000 = 25325423237
BaseRepresentation
bin1101000111111110…
…1101100110100000
3100002112102001111200
43101333231212200
524203410440000
61341333041200
7153210124122
oct32177554640
910075361450
103523140000
1115487a2256
12823a86200
13441bac033
14255ca3212
1515947d500
hexd1fed9a0

3523140000 has 540 divisors, whose sum is σ = 13441373946. Its totient is φ = 874368000.

The previous prime is 3523139981. The next prime is 3523140043. The reversal of 3523140000 is 413253.

3523140000 is a `hidden beast` number, since 3 + 523 + 140 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 384003216 + 3139136784 = 19596^2 + 56028^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 95219982 + ... + 95220018.

Almost surely, 23523140000 is an apocalyptic number.

3523140000 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 3523140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6720686973).

3523140000 is an abundant number, since it is smaller than the sum of its proper divisors (9918233946).

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

3523140000 is a wasteful number, since it uses less digits than its factorization.

3523140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 3523140000 is about 59356.0443425941. The cubic root of 3523140000 is about 1521.6331707351.

Adding to 3523140000 its reverse (413253), we get a palindrome (3523553253).

The spelling of 3523140000 in words is "three billion, five hundred twenty-three million, one hundred forty thousand".