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34206131141 = 721353698793
BaseRepresentation
bin11111110110110110…
…000010001111000101
310021021212212111120222
4133312312002033011
51030023232144031
623414124034125
72320442213600
oct376666021705
9107255774528
1034206131141
1113563518676
126767692945
1332c19096b0
141926cd9337
15d53019e7b
hex7f6d823c5

34206131141 has 12 divisors (see below), whose sum is σ = 42851637612. Its totient is φ = 27064191168.

The previous prime is 34206131131. The next prime is 34206131159. The reversal of 34206131141 is 14113160243.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 12894510916 + 21311620225 = 113554^2 + 145985^2 .

It is not a de Polignac number, because 34206131141 - 214 = 34206114757 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34206131141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34206131101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26848760 + ... + 26850033.

It is an arithmetic number, because the mean of its divisors is an integer number (3570969801).

Almost surely, 234206131141 is an apocalyptic number.

It is an amenable number.

34206131141 is a deficient number, since it is larger than the sum of its proper divisors (8645506471).

34206131141 is a wasteful number, since it uses less digits than its factorization.

34206131141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53698820 (or 53698813 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 34206131141 its reverse (14113160243), we get a palindrome (48319291384).

The spelling of 34206131141 in words is "thirty-four billion, two hundred six million, one hundred thirty-one thousand, one hundred forty-one".

Divisors: 1 7 13 49 91 637 53698793 375891551 698084309 2631240857 4886590163 34206131141