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23041111114032 = 243111746722972393
BaseRepresentation
bin1010011110100101011010…
…01111100100000100110000
310000120201010122112202111220
411033102231033210010300
511010001143421122112
6121000535035305040
74565444133002214
oct517225517440460
9100521118482456
1023041111114032
1173837535a8210
1227016315ab180
13cb19c91387cb
145992a5114944
1529e5438e098c
hex14f4ad3e4130

23041111114032 has 320 divisors, whose sum is σ = 68959715295744. Its totient is φ = 6551774494720.

The previous prime is 23041111114019. The next prime is 23041111114079.

23041111114032 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 23041111113993 and 23041111114011.

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, 9628545028 + ... + 9628547420.

Almost surely, 223041111114032 is an apocalyptic number.

23041111114032 is a gapful number since it is divisible by the number (22) 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 23041111114032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34479857647872).

23041111114032 is an abundant number, since it is smaller than the sum of its proper divisors (45918604181712).

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

23041111114032 is a wasteful number, since it uses less digits than its factorization.

23041111114032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5196 (or 5190 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

It can be divided in two parts, 2304111 and 1114032, that added together give a palindrome (3418143).

The spelling of 23041111114032 in words is "twenty-three trillion, forty-one billion, one hundred eleven million, one hundred fourteen thousand, thirty-two".