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23111414040 = 233511136122079
BaseRepresentation
bin10101100001100011…
…000011000100011000
32012122200012110220210
4111201203003010120
5334313010222130
614341153451120
71445502530601
oct254143030430
965580173823
1023111414040
11988a877490
12458bb70aa0
13224419b030
141193610da8
15903ebb5b0
hex5618c3118

23111414040 has 256 divisors, whose sum is σ = 82794700800. Its totient is φ = 5086771200.

The previous prime is 23111414023. The next prime is 23111414057. The reversal of 23111414040 is 4041411132.

It is an interprime number because it is at equal distance from previous prime (23111414023) and next prime (23111414057).

It is a junction number, because it is equal to n+sod(n) for n = 23111413998 and 23111414016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1035721 + ... + 1057799.

It is an arithmetic number, because the mean of its divisors is an integer number (323416800).

Almost surely, 223111414040 is an apocalyptic number.

23111414040 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 23111414040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41397350400).

23111414040 is an abundant number, since it is smaller than the sum of its proper divisors (59683286760).

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

23111414040 is a wasteful number, since it uses less digits than its factorization.

23111414040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22178 (or 22174 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 23111414040 its reverse (4041411132), we get a palindrome (27152825172).

The spelling of 23111414040 in words is "twenty-three billion, one hundred eleven million, four hundred fourteen thousand, forty".