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5314104180 = 223257111273019
BaseRepresentation
bin1001111001011111…
…01100101101110100
3111201100102110111100
410330233230231310
541340402313210
62235151410100
7245455066050
oct47457545564
914640373440
105314104180
112287745140
121043823930
13668c57358
14385aa6c60
152117ee5c0
hex13cbecb74

5314104180 has 288 divisors, whose sum is σ = 20261928960. Its totient is φ = 1095171840.

The previous prime is 5314104179. The next prime is 5314104181. The reversal of 5314104180 is 814014135.

It is a happy number.

5314104180 is a `hidden beast` number, since 531 + 4 + 10 + 41 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (5314104179) and next prime (5314104181).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5314104181) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1758711 + ... + 1761729.

It is an arithmetic number, because the mean of its divisors is an integer number (70353920).

Almost surely, 25314104180 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 5314104180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10130964480).

5314104180 is an abundant number, since it is smaller than the sum of its proper divisors (14947824780).

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

5314104180 is a wasteful number, since it uses less digits than its factorization.

5314104180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3179 (or 3174 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 5314104180 is about 72897.9024389591. The cubic root of 5314104180 is about 1745.0586242596.

The spelling of 5314104180 in words is "five billion, three hundred fourteen million, one hundred four thousand, one hundred eighty".