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5135140032 = 2631119731753
BaseRepresentation
bin1001100100001010…
…00000010011000000
3111020212200010211120
410302011000103000
541004043440112
62205315512240
7241152653511
oct46205002300
914225603746
105135140032
1121a571a790
12bb38b8680
1363ab56ac9
14369ddca08
15200c4ce8c
hex1321404c0

5135140032 has 224 divisors, whose sum is σ = 15824728320. Its totient is φ = 1453178880.

The previous prime is 5135140001. The next prime is 5135140039. The reversal of 5135140032 is 2300415315.

It is a super-2 number, since 2×51351400322 = 52739326296497922048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 5135139984 and 5135140011.

It is not an unprimeable number, because it can be changed into a prime (5135140039) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2928468 + ... + 2930220.

Almost surely, 25135140032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5135140032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7912364160).

5135140032 is an abundant number, since it is smaller than the sum of its proper divisors (10689588288).

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

5135140032 is a wasteful number, since it uses less digits than its factorization.

5135140032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1871 (or 1861 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 5135140032 is about 71659.8913758596. The cubic root of 5135140032 is about 1725.2449453470.

Adding to 5135140032 its reverse (2300415315), we get a palindrome (7435555347).

The spelling of 5135140032 in words is "five billion, one hundred thirty-five million, one hundred forty thousand, thirty-two".