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23421313749240 = 2332511271137167331
BaseRepresentation
bin1010101001101001100110…
…00101100001000011111000
310001221001111121212210111200
411110310303011201003320
511032213322304433430
6121451334125254200
74635063663040431
oct524646305410370
9101831447783450
1023421313749240
11750aa18023400
12276325a704360
13100b80b069ac4
145ad851c9c488
152a9397248460
hex154d331610f8

23421313749240 has 1152 divisors, whose sum is σ = 86237558184960. Its totient is φ = 5507099136000.

The previous prime is 23421313749191. The next prime is 23421313749269. The reversal of 23421313749240 is 4294731312432.

It is a happy number.

23421313749240 is a `hidden beast` number, since 2 + 3 + 4 + 2 + 1 + 31 + 374 + 9 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 70759255875 + ... + 70759256205.

It is an arithmetic number, because the mean of its divisors is an integer number (74858991480).

Almost surely, 223421313749240 is an apocalyptic number.

23421313749240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23421313749240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43118779092480).

23421313749240 is an abundant number, since it is smaller than the sum of its proper divisors (62816244435720).

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

23421313749240 is a wasteful number, since it uses less digits than its factorization.

23421313749240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 23421313749240 in words is "twenty-three trillion, four hundred twenty-one billion, three hundred thirteen million, seven hundred forty-nine thousand, two hundred forty".