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23243156462240 = 255111361130312781
BaseRepresentation
bin1010100100011101110000…
…00101011001101010100000
310001022000122112111220021122
411102032320011121222200
511021303441023242430
6121233431512311412
74616156041062431
oct522167005315240
9101260575456248
1023243156462240
117451404969830
12273481a0a2568
13cc7a8811bca0
145a4d90ad7488
152a491b6d3ee5
hex1523b8159aa0

23243156462240 has 384 divisors, whose sum is σ = 65624978732544. Its totient is φ = 7667509248000.

The previous prime is 23243156462191. The next prime is 23243156462261. The reversal of 23243156462240 is 4226465134232.

23243156462240 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 23243156462191 and 23243156462200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1818564650 + ... + 1818577430.

It is an arithmetic number, because the mean of its divisors is an integer number (170898382116).

Almost surely, 223243156462240 is an apocalyptic number.

23243156462240 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 23243156462240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32812489366272).

23243156462240 is an abundant number, since it is smaller than the sum of its proper divisors (42381822270304).

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

23243156462240 is a wasteful number, since it uses less digits than its factorization.

23243156462240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14184 (or 14176 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 44.

The spelling of 23243156462240 in words is "twenty-three trillion, two hundred forty-three billion, one hundred fifty-six million, four hundred sixty-two thousand, two hundred forty".