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34135351194 = 23717910974139
BaseRepresentation
bin11111110010101000…
…000001111110011010
310021002221200111202110
4133302220001332122
51024402122214234
623403115013150
72315622461220
oct376250017632
9107087614673
1034135351194
111352757464a
126747a3a1b6
1332b0056b79
14191b752b10
15d4bbd81e9
hex7f2a01f9a

34135351194 has 64 divisors (see below), whose sum is σ = 78550041600. Its totient is φ = 9687289728.

The previous prime is 34135351177. The next prime is 34135351199. The reversal of 34135351194 is 49115353143.

It is a happy number.

It is a super-2 number, since 2×341353511942 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34135351199) 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 31 ways as a sum of consecutive naturals, for example, 8245177 + ... + 8249315.

It is an arithmetic number, because the mean of its divisors is an integer number (1227344400).

Almost surely, 234135351194 is an apocalyptic number.

34135351194 is an abundant number, since it is smaller than the sum of its proper divisors (44414690406).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34135351194 is a wasteful number, since it uses less digits than its factorization.

34135351194 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5427.

The product of its digits is 97200, while the sum is 39.

The spelling of 34135351194 in words is "thirty-four billion, one hundred thirty-five million, three hundred fifty-one thousand, one hundred ninety-four".

Divisors: 1 2 3 6 7 14 21 42 179 358 537 1074 1097 1253 2194 2506 3291 3759 4139 6582 7518 7679 8278 12417 15358 23037 24834 28973 46074 57946 86919 173838 196363 392726 589089 740881 1178178 1374541 1481762 2222643 2749082 4123623 4445286 4540483 5186167 8247246 9080966 10372334 13621449 15558501 27242898 31117002 31783381 63566762 95350143 190700286 812746457 1625492914 2438239371 4876478742 5689225199 11378450398 17067675597 34135351194