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34244010223431 = 31929191788313759
BaseRepresentation
bin1111100100101000011100…
…00100001010011101000111
311111020200202221200010202220
413302110032010022131013
513442023213104122211
6200455251531103423
710133022332153541
oct762241604123507
9144220687603686
1034244010223431
11aa028920390a8
123a108758a1b73
13161527239a278
148655c17d0691
153e5b72cd4806
hex1f250e10a747

34244010223431 has 64 divisors (see below), whose sum is σ = 49989353472000. Its totient is φ = 20768535285120.

The previous prime is 34244010223421. The next prime is 34244010223453. The reversal of 34244010223431 is 13432201044243.

It is not a de Polignac number, because 34244010223431 - 211 = 34244010221383 is a prime.

It is a super-2 number, since 2×342440102234312 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34244010223392 and 34244010223401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34244010223421) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2488837530 + ... + 2488851288.

It is an arithmetic number, because the mean of its divisors is an integer number (781083648000).

Almost surely, 234244010223431 is an apocalyptic number.

34244010223431 is a deficient number, since it is larger than the sum of its proper divisors (15745343248569).

34244010223431 is a wasteful number, since it uses less digits than its factorization.

34244010223431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21884.

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 34244010223431 its reverse (13432201044243), we get a palindrome (47676211267674).

The spelling of 34244010223431 in words is "thirty-four trillion, two hundred forty-four billion, ten million, two hundred twenty-three thousand, four hundred thirty-one".

Divisors: 1 3 19 29 57 87 191 551 573 1653 3629 5539 7883 10887 13759 16617 23649 41277 105241 149777 228607 261421 315723 399011 449331 685821 784263 1197033 1505653 2627969 4343533 4516959 7581209 7883907 13030599 22743627 28607407 43663937 49931411 76211101 85822221 108462197 130991811 149794233 228633303 325386591 829614803 1448010919 2060781743 2488844409 3145403713 4344032757 6182345229 9436211139 20716279627 59762670547 62148838881 179288011641 393609312913 600772109183 1180827938739 1802316327549 11414670074477 34244010223431