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23432100144 = 2431731918999
BaseRepresentation
bin10101110100101010…
…010111100100110000
32020111000122000112220
4111310222113210300
5340442104201034
614433051121040
71456445364525
oct256452274460
966430560486
1023432100144
119a3489a722
12465b443180
13229575c61b
1411c404b14c
15922214749
hex574a97930

23432100144 has 80 divisors (see below), whose sum is σ = 64120896000. Its totient is φ = 7348126720.

The previous prime is 23432100143. The next prime is 23432100179. The reversal of 23432100144 is 44100123432.

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 (23432100143) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2599357 + ... + 2608355.

It is an arithmetic number, because the mean of its divisors is an integer number (801511200).

Almost surely, 223432100144 is an apocalyptic number.

23432100144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23432100144 is an abundant number, since it is smaller than the sum of its proper divisors (40688795856).

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

23432100144 is a wasteful number, since it uses less digits than its factorization.

23432100144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12218 (or 12212 counting only the distinct ones).

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

Adding to 23432100144 its reverse (44100123432), we get a palindrome (67532223576).

The spelling of 23432100144 in words is "twenty-three billion, four hundred thirty-two million, one hundred thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 3191 6382 8999 9573 12764 17998 19146 25528 26997 35996 38292 51056 53994 54247 71992 76584 107988 108494 143984 152983 153168 162741 215976 216988 305966 325482 431952 433976 458949 611932 650964 867952 917898 1223864 1301928 1835796 2447728 2603856 3671592 7343184 28715809 57431618 86147427 114863236 172294854 229726472 344589708 459452944 488168753 689179416 976337506 1378358832 1464506259 1952675012 2929012518 3905350024 5858025036 7810700048 11716050072 23432100144