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5361431040 = 29335721583
BaseRepresentation
bin1001111111001000…
…01111001000000000
3111211122110220202000
410333210033020000
541440011243130
62244002024000
7246601261200
oct47744171000
914748426660
105361431040
11230142a549
121057648000
136759b7b04
1438c0a6400
15215a4c260
hex13f90f200

5361431040 has 480 divisors, whose sum is σ = 22167509760. Its totient is φ = 1224695808.

The previous prime is 5361431029. The next prime is 5361431099. The reversal of 5361431040 is 401341635.

5361431040 is a `hidden beast` number, since 5 + 3 + 614 + 3 + 1 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 5361430995 and 5361431013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3386089 + ... + 3387671.

It is an arithmetic number, because the mean of its divisors is an integer number (46182312).

Almost surely, 25361431040 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 5361431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11083754880).

5361431040 is an abundant number, since it is smaller than the sum of its proper divisors (16806078720).

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

5361431040 is a wasteful number, since it uses less digits than its factorization.

5361431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 5361431040 is about 73221.7934770789. The cubic root of 5361431040 is about 1750.2237580554.

Adding to 5361431040 its reverse (401341635), we get a palindrome (5762772675).

The spelling of 5361431040 in words is "five billion, three hundred sixty-one million, four hundred thirty-one thousand, forty".