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23041414032 = 24371321723869
BaseRepresentation
bin10101011101011000…
…000001001110010000
32012110210111002221220
4111131120001032100
5334142100222112
614330213245040
71443662534130
oct253530011620
965423432856
1023041414032
11985430643a
124570633780
13223282c500
1411881ccac0
158ecc9098c
hex55d601390

23041414032 has 240 divisors, whose sum is σ = 77998757760. Its totient is φ = 5719154688.

The previous prime is 23041414021. The next prime is 23041414063.

23041414032 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 = 23041413993 and 23041414011.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 953394 + ... + 977262.

It is an arithmetic number, because the mean of its divisors is an integer number (324994824).

Almost surely, 223041414032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23041414032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38999378880).

23041414032 is an abundant number, since it is smaller than the sum of its proper divisors (54957343728).

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

23041414032 is a wasteful number, since it uses less digits than its factorization.

23041414032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23930 (or 23911 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The spelling of 23041414032 in words is "twenty-three billion, forty-one million, four hundred fourteen thousand, thirty-two".