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34413148209 = 3117926774931
BaseRepresentation
bin100000000011001011…
…101111100000110001
310021211022102001121210
4200003023233200301
51030434231220314
623450441110333
72325534635106
oct400313574061
9107738361553
1034413148209
111365a363660
126804a883a9
13332577c8bb
1419465c6aad
15d662ad559
hex8032ef831

34413148209 has 32 divisors (see below), whose sum is σ = 50718320640. Its totient is φ = 20580580800.

The previous prime is 34413148163. The next prime is 34413148247. The reversal of 34413148209 is 90284131443.

It is not a de Polignac number, because 34413148209 - 28 = 34413147953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34413143209) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6976474 + ... + 6981404.

It is an arithmetic number, because the mean of its divisors is an integer number (1584947520).

Almost surely, 234413148209 is an apocalyptic number.

It is an amenable number.

34413148209 is a deficient number, since it is larger than the sum of its proper divisors (16305172431).

34413148209 is a wasteful number, since it uses less digits than its factorization.

34413148209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7701.

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 34413148209 in words is "thirty-four billion, four hundred thirteen million, one hundred forty-eight thousand, two hundred nine".

Divisors: 1 3 11 33 79 237 869 2607 2677 4931 8031 14793 29447 54241 88341 162723 211483 389549 634449 1168647 2326313 4285039 6978939 12855117 13200287 39600861 145203157 435609471 1042822673 3128468019 11471049403 34413148209