Search a number
-
+
23100342300144 = 2432174199209429
BaseRepresentation
bin1010100000010011101111…
…01100100110110111110000
310000210101000120110202212200
411100021313230212313300
511011434000112101034
6121044052321223200
74602642005532054
oct520116754466760
9100711016422780
1023100342300144
1173a6889004a9a
122711001a91b00
13cb7478511925
1459c0c3839c64
152a0d5d8cba99
hex150277b26df0

23100342300144 has 60 divisors (see below), whose sum is σ = 64652593051800. Its totient is φ = 7699671211392.

The previous prime is 23100342300143. The next prime is 23100342300199. The reversal of 23100342300144 is 44100324300132.

23100342300144 is a `hidden beast` number, since 2 + 3 + 1 + 0 + 0 + 342 + 300 + 14 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23100342300143) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2096379 + ... + 7113050.

It is an arithmetic number, because the mean of its divisors is an integer number (1077543217530).

Almost surely, 223100342300144 is an apocalyptic number.

23100342300144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23100342300144 is an abundant number, since it is smaller than the sum of its proper divisors (41552250751656).

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

23100342300144 is a wasteful number, since it uses less digits than its factorization.

23100342300144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9226862 (or 9226853 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 23100342300144 its reverse (44100324300132), we get a palindrome (67200666600276).

The spelling of 23100342300144 in words is "twenty-three trillion, one hundred billion, three hundred forty-two million, three hundred thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 17419 34838 52257 69676 104514 139352 156771 209028 278704 313542 418056 627084 836112 1254168 2508336 9209429 18418858 27628287 36837716 55256574 73675432 82884861 110513148 147350864 165769722 221026296 331539444 442052592 663078888 1326157776 160419043751 320838087502 481257131253 641676175004 962514262506 1283352350008 1443771393759 1925028525012 2566704700016 2887542787518 3850057050024 5775085575036 7700114100048 11550171150072 23100342300144