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34151014116 = 22321815241101
BaseRepresentation
bin11111110011100011…
…110001111011100100
310021011001011021020200
4133303203301323210
51024420124422431
623404434430500
72316202554552
oct376343617344
9107131137220
1034151014116
11135353a240a
126751132430
1332b337c17b
14191d86cbd2
15d4d27dee6
hex7f38f1ee4

34151014116 has 36 divisors (see below), whose sum is σ = 86803131324. Its totient is φ = 11320776000.

The previous prime is 34151014081. The next prime is 34151014147. The reversal of 34151014116 is 61141015143.

34151014116 is a `hidden beast` number, since 3 + 4 + 1 + 510 + 141 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1716444900 + 32434569216 = 41430^2 + 180096^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×341510141162 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34151014116.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2614035 + ... + 2627066.

Almost surely, 234151014116 is an apocalyptic number.

34151014116 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34151014116 is an abundant number, since it is smaller than the sum of its proper divisors (52652117208).

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

34151014116 is a wasteful number, since it uses less digits than its factorization.

34151014116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5241292 (or 5241287 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 34151014116 its reverse (61141015143), we get a palindrome (95292029259).

The spelling of 34151014116 in words is "thirty-four billion, one hundred fifty-one million, fourteen thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 181 362 543 724 1086 1629 2172 3258 6516 5241101 10482202 15723303 20964404 31446606 47169909 62893212 94339818 188679636 948639281 1897278562 2845917843 3794557124 5691835686 8537753529 11383671372 17075507058 34151014116