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23320242444240 = 2433578963172079
BaseRepresentation
bin1010100110101101010101…
…10001000101011111010000
310001120101121210101112002000
411103112222301011133100
511024034324031203430
6121333101012354000
74624555230110640
oct523265261053720
9101511553345060
1023320242444240
1174810719a1a75
122747752015900
1310021216156a1
145a89c484c520
152a692de44e60
hex1535aac457d0

23320242444240 has 320 divisors, whose sum is σ = 91811095142400. Its totient is φ = 5329715452416.

The previous prime is 23320242444227. The next prime is 23320242444283. The reversal of 23320242444240 is 4244424202332.

23320242444240 is a `hidden beast` number, since 2 + 3 + 3 + 202 + 4 + 2 + 4 + 442 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 23320242444195 and 23320242444204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 135434521 + ... + 135606599.

It is an arithmetic number, because the mean of its divisors is an integer number (286909672320).

Almost surely, 223320242444240 is an apocalyptic number.

23320242444240 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 23320242444240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45905547571200).

23320242444240 is an abundant number, since it is smaller than the sum of its proper divisors (68490852698160).

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

23320242444240 is a wasteful number, since it uses less digits than its factorization.

23320242444240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181071 (or 181059 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 23320242444240 its reverse (4244424202332), we get a palindrome (27564666646572).

The spelling of 23320242444240 in words is "twenty-three trillion, three hundred twenty billion, two hundred forty-two million, four hundred forty-four thousand, two hundred forty".