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234642003141 = 37213177222643
BaseRepresentation
bin1101101010000111000…
…0001101010011000101
3211102122121022210001210
43122201300031103011
512321021323100031
6255443144242033
722644435055500
oct3324160152305
9742577283053
10234642003141
1190569325967
1239585170319
1319185319aa0
14b4dcc3c137
15618488b746
hex36a1c0d4c5

234642003141 has 48 divisors (see below), whose sum is σ = 414984233664. Its totient is φ = 116486770176.

The previous prime is 234642003103. The next prime is 234642003173. The reversal of 234642003141 is 141300246432.

It is not a de Polignac number, because 234642003141 - 225 = 234608448709 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 234642003099 and 234642003108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234642003191) 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 47 ways as a sum of consecutive naturals, for example, 3578835 + ... + 3643808.

It is an arithmetic number, because the mean of its divisors is an integer number (8645504868).

Almost surely, 2234642003141 is an apocalyptic number.

234642003141 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

234642003141 is a deficient number, since it is larger than the sum of its proper divisors (180342230523).

234642003141 is a wasteful number, since it uses less digits than its factorization.

234642003141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7222690 (or 7222683 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 234642003141 its reverse (141300246432), we get a palindrome (375942249573).

The spelling of 234642003141 in words is "two hundred thirty-four billion, six hundred forty-two million, three thousand, one hundred forty-one".

Divisors: 1 3 7 13 17 21 39 49 51 91 119 147 221 273 357 637 663 833 1547 1911 2499 4641 10829 32487 7222643 21667929 50558501 93894359 122784931 151675503 281683077 353909507 368354793 657260513 859494517 1061728521 1596204103 1971781539 2578483551 4600823591 4788612309 6016461619 11173428721 13802470773 18049384857 33520286163 78214001047 234642003141