Search a number
-
+
23411413024560 = 243351131101389809
BaseRepresentation
bin1010101001010111001001…
…11101001111111100110000
310001220002221121220212112000
411110223210331033330300
511032033033213241220
6121443015450334000
74634263432212051
oct524534475177460
9101802847825460
1023411413024560
1175067a7355410
122761356a2a300
13100a8c0acb332
145ad192dbc728
152a8eb7e4a390
hex154ae4f4ff30

23411413024560 has 1280 divisors, whose sum is σ = 92056393728000. Its totient is φ = 5417349120000.

The previous prime is 23411413024537. The next prime is 23411413024579. The reversal of 23411413024560 is 6542031411432.

23411413024560 is a `hidden beast` number, since 2 + 3 + 4 + 1 + 1 + 41 + 30 + 24 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 28938705436 + ... + 28938706244.

It is an arithmetic number, because the mean of its divisors is an integer number (71919057600).

Almost surely, 223411413024560 is an apocalyptic number.

23411413024560 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 23411413024560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46028196864000).

23411413024560 is an abundant number, since it is smaller than the sum of its proper divisors (68644980703440).

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

23411413024560 is a wasteful number, since it uses less digits than its factorization.

23411413024560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 23411413024560 its reverse (6542031411432), we get a palindrome (29953444435992).

The spelling of 23411413024560 in words is "twenty-three trillion, four hundred eleven billion, four hundred thirteen million, twenty-four thousand, five hundred sixty".