Search a number
-
+
23110242144 = 2531121884699
BaseRepresentation
bin10101100001011110…
…100100111101100000
32012122120222221101020
4111201132210331200
5334312210222034
614341112405440
71445456550153
oct254136447540
965576887336
1023110242144
11988a146a80
12458b6a6880
132243b7a7c2
1411933c7c9a
15903d39249
hex5617a4f60

23110242144 has 48 divisors (see below), whose sum is σ = 66179332800. Its totient is φ = 7003103360.

The previous prime is 23110242137. The next prime is 23110242157. The reversal of 23110242144 is 44124201132.

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

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10941294 + ... + 10943405.

It is an arithmetic number, because the mean of its divisors is an integer number (1378736100).

Almost surely, 223110242144 is an apocalyptic number.

23110242144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23110242144 is an abundant number, since it is smaller than the sum of its proper divisors (43069090656).

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

23110242144 is a wasteful number, since it uses less digits than its factorization.

23110242144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21884723 (or 21884715 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 23110242144 its reverse (44124201132), we get a palindrome (67234443276).

The spelling of 23110242144 in words is "twenty-three billion, one hundred ten million, two hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 21884699 43769398 65654097 87538796 131308194 175077592 240731689 262616388 350155184 481463378 525232776 700310368 722195067 962926756 1050465552 1444390134 1925853512 2100931104 2888780268 3851707024 5777560536 7703414048 11555121072 23110242144