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23423435424 = 253281331373
BaseRepresentation
bin10101110100001001…
…010100001010100000
32020110102022210210100
4111310021110022200
5340432344413144
614432141302400
71456311626124
oct256411241240
966412283710
1023423435424
119a2aa117a4
124658564a00
132293a1777c
1411c2c33584
159215a2269
hex5742542a0

23423435424 has 36 divisors (see below), whose sum is σ = 66610395306. Its totient is φ = 7807811712.

The previous prime is 23423435419. The next prime is 23423435447. The reversal of 23423435424 is 42453432432.

It can be written as a sum of positive squares in only one way, i.e., 14287899024 + 9135536400 = 119532^2 + 95580^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 40665399 + ... + 40665974.

Almost surely, 223423435424 is an apocalyptic number.

23423435424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23423435424 is an abundant number, since it is smaller than the sum of its proper divisors (43186959882).

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

23423435424 is a wasteful number, since it uses less digits than its factorization.

23423435424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81331389 (or 81331378 counting only the distinct ones).

The product of its digits is 276480, while the sum is 36.

Adding to 23423435424 its reverse (42453432432), we get a palindrome (65876867856).

The spelling of 23423435424 in words is "twenty-three billion, four hundred twenty-three million, four hundred thirty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 81331373 162662746 243994119 325325492 487988238 650650984 731982357 975976476 1301301968 1463964714 1951952952 2602603936 2927929428 3903905904 5855858856 7807811808 11711717712 23423435424