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34021232400132 = 2232945034233337
BaseRepresentation
bin1111011110001001011110…
…11110001101011100000100
311110110101202011220010211100
413233010233132031130010
513424400440443301012
6200205045521140100
710110644566000455
oct757045736153404
9143411664803740
1034021232400132
11a92736183814a
123995661a8a630
1315ca25b03c353
148588ca53712c
153dee84cda8dc
hex1ef12f78d704

34021232400132 has 18 divisors (see below), whose sum is σ = 85998115233758. Its totient is φ = 11340410800032.

The previous prime is 34021232400109. The next prime is 34021232400139. The reversal of 34021232400132 is 23100423212043.

34021232400132 is a `hidden beast` number, since 3 + 4 + 0 + 2 + 123 + 2 + 400 + 132 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26130335662656 + 7890896737476 = 5111784^2 + 2809074^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a junction number, because it is equal to n+sod(n) for n = 34021232400096 and 34021232400105.

It is not an unprimeable number, because it can be changed into a prime (34021232400139) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 472517116633 + ... + 472517116704.

Almost surely, 234021232400132 is an apocalyptic number.

It is an amenable number.

34021232400132 is an abundant number, since it is smaller than the sum of its proper divisors (51976882833626).

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

34021232400132 is a wasteful number, since it uses less digits than its factorization.

34021232400132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945034233347 (or 945034233342 counting only the distinct ones).

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

Adding to 34021232400132 its reverse (23100423212043), we get a palindrome (57121655612175).

The spelling of 34021232400132 in words is "thirty-four trillion, twenty-one billion, two hundred thirty-two million, four hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 945034233337 1890068466674 2835102700011 3780136933348 5670205400022 8505308100033 11340410800044 17010616200066 34021232400132