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5140040000 = 26542337151
BaseRepresentation
bin1001100100101111…
…01100100101000000
3111021012220002022212
410302113230211000
541011322240000
62210012521252
7241242422234
oct46227544500
914235802285
105140040000
1121a8467147
12bb5480228
1363bb811b4
1436a9165c4
152013b9c35
hex1325ec940

5140040000 has 280 divisors, whose sum is σ = 13749698688. Its totient is φ = 1900800000.

The previous prime is 5140039973. The next prime is 5140040029. The reversal of 5140040000 is 400415.

It is a super-2 number, since 2×51400400002 = 52840022403200000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34039925 + ... + 34040075.

Almost surely, 25140040000 is an apocalyptic number.

5140040000 is a gapful number since it is divisible by the number (50) 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 5140040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6874849344).

5140040000 is an abundant number, since it is smaller than the sum of its proper divisors (8609658688).

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

5140040000 is a wasteful number, since it uses less digits than its factorization.

5140040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 5140040000 is about 71694.0722793733. The cubic root of 5140040000 is about 1725.7935157569.

Adding to 5140040000 its reverse (400415), we get a palindrome (5140440415).

The spelling of 5140040000 in words is "five billion, one hundred forty million, forty thousand".