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234623105641 = 3495776771721
BaseRepresentation
bin1101101010000010100…
…0000111101001101001
3211102121021202200120101
43122200220013221221
512321002003340031
6255441231225401
722644115330651
oct3324050075151
9742537680511
10234623105641
11905596989a1
123957a978261
1319181431432
14b4da51d361
156182da7361
hex36a0a07a69

234623105641 has 16 divisors (see below), whose sum is σ = 236188486800. Its totient is φ = 233064898560.

The previous prime is 234623105627. The next prime is 234623105687. The reversal of 234623105641 is 146501326432.

It can be written as a sum of positive squares in 8 ways, for example, as 155547416025 + 79075689616 = 394395^2 + 281204^2 .

It is a cyclic number.

It is not a de Polignac number, because 234623105641 - 25 = 234623105609 is a prime.

It is a super-3 number, since 3×2346231056413 (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 234623105641.

It is not an unprimeable number, because it can be changed into a prime (234623105621) 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, 136328661 + ... + 136330381.

It is an arithmetic number, because the mean of its divisors is an integer number (14761780425).

Almost surely, 2234623105641 is an apocalyptic number.

It is an amenable number.

234623105641 is a deficient number, since it is larger than the sum of its proper divisors (1565381159).

234623105641 is a wasteful number, since it uses less digits than its factorization.

234623105641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3324.

The product of its (nonzero) digits is 103680, while the sum is 37.

The spelling of 234623105641 in words is "two hundred thirty-four billion, six hundred twenty-three million, one hundred five thousand, six hundred forty-one".

Divisors: 1 349 577 677 1721 201373 236273 390629 600629 993017 1165117 136329521 346562933 406625833 672272509 234623105641