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34232144441 = 1137109177093
BaseRepresentation
bin11111111000011001…
…010001001000111001
310021100200211010010112
4133320121101020321
51030101412110231
623420453354105
72321206266245
oct377031211071
9107320733115
1034232144441
1113577175870
126774338935
1332c7116b91
14192a54b425
15d5545792b
hex7f8651239

34232144441 has 16 divisors (see below), whose sum is σ = 38389111488. Its totient is φ = 30250900800.

The previous prime is 34232144431. The next prime is 34232144449. The reversal of 34232144441 is 14444123243.

It is a cyclic number.

It is not a de Polignac number, because 34232144441 - 214 = 34232128057 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34232144398 and 34232144407.

It is not an unprimeable number, because it can be changed into a prime (34232144449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 405491 + ... + 482583.

It is an arithmetic number, because the mean of its divisors is an integer number (2399319468).

Almost surely, 234232144441 is an apocalyptic number.

It is an amenable number.

34232144441 is a deficient number, since it is larger than the sum of its proper divisors (4156967047).

34232144441 is a wasteful number, since it uses less digits than its factorization.

34232144441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78232.

The product of its digits is 36864, while the sum is 32.

Adding to 34232144441 its reverse (14444123243), we get a palindrome (48676267684).

The spelling of 34232144441 in words is "thirty-four billion, two hundred thirty-two million, one hundred forty-four thousand, four hundred forty-one".

Divisors: 1 11 37 407 1091 12001 40367 77093 444037 848023 2852441 31376851 84108463 925193093 3112013131 34232144441