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34114222224 = 243378968107
BaseRepresentation
bin11111110001010111…
…011011100010010000
310021001110221001021000
4133301113123202100
51024331220102344
623401042102000
72315245050555
oct376127334220
9107043831230
1034114222224
1113516653095
12674094a900
1332a8869914
141918a12a2c
15d49e12a69
hex7f15db890

34114222224 has 40 divisors (see below), whose sum is σ = 97920453920. Its totient is φ = 11371407264.

The previous prime is 34114222199. The next prime is 34114222229. The reversal of 34114222224 is 42222241143.

It is a happy number.

34114222224 is a `hidden beast` number, since 3 + 4 + 11 + 422 + 2 + 224 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (34114222229) 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 7 ways as a sum of consecutive naturals, for example, 39483622 + ... + 39484485.

It is an arithmetic number, because the mean of its divisors is an integer number (2448011348).

Almost surely, 234114222224 is an apocalyptic number.

It is an amenable number.

34114222224 is an abundant number, since it is smaller than the sum of its proper divisors (63806231696).

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

34114222224 is a wasteful number, since it uses less digits than its factorization.

34114222224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78968124 (or 78968112 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

Adding to 34114222224 its reverse (42222241143), we get a palindrome (76336463367).

The spelling of 34114222224 in words is "thirty-four billion, one hundred fourteen million, two hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 78968107 157936214 236904321 315872428 473808642 631744856 710712963 947617284 1263489712 1421425926 1895234568 2132138889 2842851852 3790469136 4264277778 5685703704 8528555556 11371407408 17057111112 34114222224