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5214451140 = 2234517296529
BaseRepresentation
bin1001101101100111…
…00011010111000100
3111110101220120020000
410312303203113010
541134344414030
62221231441300
7243135050313
oct46663432704
914411816200
105214451140
112236470358
121016386230
13651405762
1437676627a
15207bb7860
hex136ce35c4

5214451140 has 240 divisors, whose sum is σ = 17920148400. Its totient is φ = 1263403008.

The previous prime is 5214451133. The next prime is 5214451189. The reversal of 5214451140 is 411544125.

5214451140 is a `hidden beast` number, since 5 + 2 + 144 + 511 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 123343236 + 5091107904 = 11106^2 + 71352^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 795396 + ... + 801924.

It is an arithmetic number, because the mean of its divisors is an integer number (74667285).

Almost surely, 25214451140 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 5214451140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8960074200).

5214451140 is an abundant number, since it is smaller than the sum of its proper divisors (12705697260).

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

5214451140 is a wasteful number, since it uses less digits than its factorization.

5214451140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6596 (or 6585 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 5214451140 is about 72211.1566172430. The cubic root of 5214451140 is about 1734.0816163497.

Adding to 5214451140 its reverse (411544125), we get a palindrome (5625995265).

The spelling of 5214451140 in words is "five billion, two hundred fourteen million, four hundred fifty-one thousand, one hundred forty".