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23040041431200 = 2535259754121577
BaseRepresentation
bin1010011110100011011010…
…11111000011000010100000
310000120121101002202020112020
411033101231133003002200
511004442001101244300
6121000240544301440
74565405463565323
oct517215537030240
9100517332666466
1023040041431200
11738325480a712
122701393311880
13cb18886412a1
145992030287ba
1529e4cea478a0
hex14f46d7c30a0

23040041431200 has 288 divisors, whose sum is σ = 76280090886720. Its totient is φ = 6038794444800.

The previous prime is 23040041431181. The next prime is 23040041431201. The reversal of 23040041431200 is 213414004032.

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

It is not an unprimeable number, because it can be changed into a prime (23040041431201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1067794812 + ... + 1067816388.

It is an arithmetic number, because the mean of its divisors is an integer number (264861426690).

Almost surely, 223040041431200 is an apocalyptic number.

23040041431200 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 23040041431200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38140045443360).

23040041431200 is an abundant number, since it is smaller than the sum of its proper divisors (53240049455520).

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

23040041431200 is a wasteful number, since it uses less digits than its factorization.

23040041431200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29200 (or 29187 counting only the distinct ones).

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

Adding to 23040041431200 its reverse (213414004032), we get a palindrome (23253455435232).

The spelling of 23040041431200 in words is "twenty-three trillion, forty billion, forty-one million, four hundred thirty-one thousand, two hundred".