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34224440130 = 23251060735851
BaseRepresentation
bin11111110111111011…
…111000001101000010
310021100011022200210200
4133313323320031002
51030042424041010
623420020310030
72321053640556
oct376773701502
9107304280720
1034224440130
1113572893471
126771842316
1332c564a20a
141929503866
15d54934cc0
hex7f7ef8342

34224440130 has 48 divisors (see below), whose sum is σ = 88994415744. Its totient is φ = 9125402400.

The previous prime is 34224440123. The next prime is 34224440149. The reversal of 34224440130 is 3104442243.

It is a happy number.

34224440130 is a `hidden beast` number, since 3 + 4 + 224 + 4 + 401 + 30 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34224440094 and 34224440103.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 936705 + ... + 972555.

It is an arithmetic number, because the mean of its divisors is an integer number (1854050328).

Almost surely, 234224440130 is an apocalyptic number.

34224440130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34224440130 is an abundant number, since it is smaller than the sum of its proper divisors (54769975614).

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

34224440130 is a wasteful number, since it uses less digits than its factorization.

34224440130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46471 (or 46468 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 34224440130 its reverse (3104442243), we get a palindrome (37328882373).

The spelling of 34224440130 in words is "thirty-four billion, two hundred twenty-four million, four hundred forty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 10607 21214 31821 35851 53035 63642 71702 95463 106070 107553 159105 179255 190926 215106 318210 322659 358510 477315 537765 645318 954630 1075530 1613295 3226590 380271557 760543114 1140814671 1901357785 2281629342 3422444013 3802715570 5704073355 6844888026 11408146710 17112220065 34224440130