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34400020410231 = 3722956489126631
BaseRepresentation
bin1111101001001011000001…
…11111110010111101110111
311111210121110120100202222120
413310211200333302331313
514002102220211111411
6201055052354531023
710150214400651360
oct764454077627567
9144717416322876
1034400020410231
11aa62a6a795583
123a36b55296a73
131626ba5b71078
1486cd81482b67
153e9c54360106
hex1f4960ff2f77

34400020410231 has 32 divisors (see below), whose sum is σ = 52649330764800. Its totient is φ = 19570814403840.

The previous prime is 34400020410097. The next prime is 34400020410241. The reversal of 34400020410231 is 13201402000443.

It is not a de Polignac number, because 34400020410231 - 219 = 34400019885943 is a prime.

It is a super-2 number, since 2×344000204102312 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34400020410241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 271592286 + ... + 271718916.

It is an arithmetic number, because the mean of its divisors is an integer number (1645291586400).

Almost surely, 234400020410231 is an apocalyptic number.

34400020410231 is a deficient number, since it is larger than the sum of its proper divisors (18249310354569).

34400020410231 is a wasteful number, since it uses less digits than its factorization.

34400020410231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183359.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 34400020410231 its reverse (13201402000443), we get a palindrome (47601422410674).

The spelling of 34400020410231 in words is "thirty-four trillion, four hundred billion, twenty million, four hundred ten thousand, two hundred thirty-one".

Divisors: 1 3 7 21 229 687 1603 4809 56489 126631 169467 379893 395423 886417 1186269 2659251 12935981 28998499 38807943 86995497 90551867 202989493 271655601 608968479 7153258559 21459775677 50072809913 150218429739 1638096210011 4914288630033 11466673470077 34400020410231