Search a number
-
+
34431342341013 = 3312710041219697
BaseRepresentation
bin1111101010000101010111…
…11011011110101110010101
311111220121022110002201111000
413311002223323132232111
514003110342114403023
6201121312412333513
710152403521661002
oct765025373365625
9144817273081430
1034431342341013
11aa75283145792
123a41036a74299
131629b2807c317
148706b32ba8a9
153ea98905c243
hex1f50abedeb95

34431342341013 has 16 divisors (see below), whose sum is σ = 51411044853760. Its totient is φ = 22773486270528.

The previous prime is 34431342340961. The next prime is 34431342341017. The reversal of 34431342341013 is 31014324313443.

34431342341013 is a `hidden beast` number, since 3 + 4 + 4 + 313 + 4 + 234 + 101 + 3 = 666.

It is not a de Polignac number, because 34431342341013 - 26 = 34431342340949 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34431342341017) 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, 5020606420 + ... + 5020613277.

It is an arithmetic number, because the mean of its divisors is an integer number (3213190303360).

Almost surely, 234431342341013 is an apocalyptic number.

It is an amenable number.

34431342341013 is a deficient number, since it is larger than the sum of its proper divisors (16979702512747).

34431342341013 is a wasteful number, since it uses less digits than its factorization.

34431342341013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10041219833 (or 10041219827 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 34431342341013 its reverse (31014324313443), we get a palindrome (65445666654456).

The spelling of 34431342341013 in words is "thirty-four trillion, four hundred thirty-one billion, three hundred forty-two million, three hundred forty-one thousand, thirteen".

Divisors: 1 3 9 27 127 381 1143 3429 10041219697 30123659091 90370977273 271112931819 1275234901519 3825704704557 11477114113671 34431342341013