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23344113122240 = 265434740938819
BaseRepresentation
bin1010100111011001110011…
…00100011111101111000000
310001122200020101021121100012
411103230321210133233000
511024432220424402430
6121352045412044052
74626361612403231
oct523547144375700
9101580211247305
1023344113122240
117490201306729
1227502b4303628
131004456ba2a21
145a9c0ac23088
152a73798dd695
hex153b3991fbc0

23344113122240 has 224 divisors, whose sum is σ = 58111931243520. Its totient is φ = 8923244875776.

The previous prime is 23344113122237. The next prime is 23344113122293. The reversal of 23344113122240 is 4222131144332.

It is a happy number.

It is a super-2 number, since 2×233441131222402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 23344113122197 and 23344113122206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2647020551 + ... + 2647029369.

It is an arithmetic number, because the mean of its divisors is an integer number (259428264480).

Almost surely, 223344113122240 is an apocalyptic number.

23344113122240 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 23344113122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29055965621760).

23344113122240 is an abundant number, since it is smaller than the sum of its proper divisors (34767818121280).

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

23344113122240 is a wasteful number, since it uses less digits than its factorization.

23344113122240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13019 (or 13009 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 23344113122240 its reverse (4222131144332), we get a palindrome (27566244266572).

The spelling of 23344113122240 in words is "twenty-three trillion, three hundred forty-four billion, one hundred thirteen million, one hundred twenty-two thousand, two hundred forty".