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23404413214000 = 24537213151121661
BaseRepresentation
bin1010101001001010000111…
…01111000101110100110000
310001212102212210112122121001
411110211003233011310300
511031424214240322000
6121435501120211344
74633625114622100
oct524450357056460
9101772783478531
1023404413214000
117503835120105
12275bb22769b54
13100a0468606b0
145acacb4b1200
152a8c0866c46a
hex154943bc5d30

23404413214000 has 480 divisors, whose sum is σ = 71365403071872. Its totient is φ = 7357996800000.

The previous prime is 23404413213887. The next prime is 23404413214009. The reversal of 23404413214000 is 41231440432.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 23404413214000.

It is not an unprimeable number, because it can be changed into a prime (23404413214009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 192313170 + ... + 192434830.

Almost surely, 223404413214000 is an apocalyptic number.

23404413214000 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 23404413214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35682701535936).

23404413214000 is an abundant number, since it is smaller than the sum of its proper divisors (47960989857872).

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

23404413214000 is a wasteful number, since it uses less digits than its factorization.

23404413214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121862 (or 121839 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 23404413214000 its reverse (41231440432), we get a palindrome (23445644654432).

The spelling of 23404413214000 in words is "twenty-three trillion, four hundred four billion, four hundred thirteen million, two hundred fourteen thousand".