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234360400144 = 24131126732693
BaseRepresentation
bin1101101001000011110…
…1111110100100010000
3211101220222102212101011
43122100331332210100
512314432230301034
6255355204420304
722634445350503
oct3322075764420
9741828385334
10234360400144
1190434377412
12395069a7694
131913bb908b0
14b4b369713a
156169cb3864
hex3690f7e910

234360400144 has 20 divisors (see below), whose sum is σ = 489001989196. Its totient is φ = 108166338432.

The previous prime is 234360400139. The next prime is 234360400163. The reversal of 234360400144 is 441004063432.

234360400144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 126815756544 + 107544643600 = 356112^2 + 327940^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 563366139 + ... + 563366554.

Almost surely, 2234360400144 is an apocalyptic number.

It is an amenable number.

234360400144 is an abundant number, since it is smaller than the sum of its proper divisors (254641589052).

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

234360400144 is a wasteful number, since it uses less digits than its factorization.

234360400144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126732714 (or 1126732708 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 234360400144 its reverse (441004063432), we get a palindrome (675364463576).

The spelling of 234360400144 in words is "two hundred thirty-four billion, three hundred sixty million, four hundred thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 1126732693 2253465386 4506930772 9013861544 14647525009 18027723088 29295050018 58590100036 117180200072 234360400144