Search a number
-
+
24144320131104 = 253387953648283
BaseRepresentation
bin1010111110101100010011…
…00111111111000000100000
310011111011201011221111002210
411133112021213333000200
511131040031423143404
6123203425245242120
75041240521633525
oct537261147770040
9104434634844083
1024144320131104
117769604300228
12285b3b7b63340
131061a519bb944
145d683c87314c
152bd0b0e71689
hex15f5899ff020

24144320131104 has 48 divisors (see below), whose sum is σ = 63379101475872. Its totient is φ = 8048073550848.

The previous prime is 24144320131091. The next prime is 24144320131133. The reversal of 24144320131104 is 40113102344142.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36919347 + ... + 37567629.

It is an arithmetic number, because the mean of its divisors is an integer number (1320397947414).

Almost surely, 224144320131104 is an apocalyptic number.

24144320131104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

24144320131104 is an abundant number, since it is smaller than the sum of its proper divisors (39234781344768).

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

24144320131104 is a wasteful number, since it uses less digits than its factorization.

24144320131104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036249 (or 1036241 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 24144320131104 its reverse (40113102344142), we get a palindrome (64257422475246).

The spelling of 24144320131104 in words is "twenty-four trillion, one hundred forty-four billion, three hundred twenty million, one hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 387953 648283 775906 1163859 1296566 1551812 1944849 2327718 2593132 3103624 3889698 4655436 5186264 6207248 7779396 9310872 10372528 12414496 15558792 18621744 20745056 31117584 37243488 62235168 251503334699 503006669398 754510004097 1006013338796 1509020008194 2012026677592 3018040016388 4024053355184 6036080032776 8048106710368 12072160065552 24144320131104