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34146290499 = 371233688031
BaseRepresentation
bin11111110011010001…
…110000101101000011
310021010201021021122220
4133303101300231003
51024412422243444
623404145302123
72316114452226
oct376321605503
9107121237586
1034146290499
11135327664a2
12674b634943
1332b23b7129
14191cd9d5bd
15d4cb49619
hex7f3470b43

34146290499 has 16 divisors (see below), whose sum is σ = 46367852544. Its totient is φ = 22347214400.

The previous prime is 34146290467. The next prime is 34146290561. The reversal of 34146290499 is 99409264143.

It is a cyclic number.

It is not a de Polignac number, because 34146290499 - 25 = 34146290467 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34146290699) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294387 + ... + 393644.

It is an arithmetic number, because the mean of its divisors is an integer number (2897990784).

Almost surely, 234146290499 is an apocalyptic number.

34146290499 is a deficient number, since it is larger than the sum of its proper divisors (12221562045).

34146290499 is a wasteful number, since it uses less digits than its factorization.

34146290499 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688338.

The product of its (nonzero) digits is 1679616, while the sum is 51.

The spelling of 34146290499 in words is "thirty-four billion, one hundred forty-six million, two hundred ninety thousand, four hundred ninety-nine".

Divisors: 1 3 71 213 233 699 16543 49629 688031 2064093 48850201 146550603 160311223 480933669 11382096833 34146290499