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54213301440 = 2632553355171
BaseRepresentation
bin110010011111010111…
…010101010011000000
312011221012220001122100
4302133113111103000
51342012101121230
640523311110400
73626312313264
oct623727252300
9164835801570
1054213301440
1120a9aaa4861
12a60bb12400
13515c924bbc
1428a412a0a4
151624700660
hexc9f5d54c0

54213301440 has 168 divisors, whose sum is σ = 189990026928. Its totient is φ = 14184069120.

The previous prime is 54213301433. The next prime is 54213301447. The reversal of 54213301440 is 4410331245.

It is a happy number.

54213301440 is a `hidden beast` number, since 5 + 4 + 213 + 3 + 0 + 1 + 440 = 666.

54213301440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54213301433) and next prime (54213301447).

It is not an unprimeable number, because it can be changed into a prime (54213301447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24946 + ... + 330225.

Almost surely, 254213301440 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 54213301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94995013464).

54213301440 is an abundant number, since it is smaller than the sum of its proper divisors (135776725488).

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

54213301440 is a wasteful number, since it uses less digits than its factorization.

54213301440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355247 (or 355234 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 54213301440 its reverse (4410331245), we get a palindrome (58623632685).

The spelling of 54213301440 in words is "fifty-four billion, two hundred thirteen million, three hundred one thousand, four hundred forty".