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34225003125 = 32556119949
BaseRepresentation
bin11111110111111110…
…000001101001110101
310021100012101022002100
4133313332001221311
51030043100100000
623420040332313
72321061504135
oct376776015165
9107305338070
1034225003125
1113573138455
126771a74099
1332c57b6551
14192960cac5
15d549e6a00
hex7f7f81a75

34225003125 has 72 divisors (see below), whose sum is σ = 62807308200. Its totient is φ = 17953200000.

The previous prime is 34225003103. The next prime is 34225003139. The reversal of 34225003125 is 52130052243.

It is a happy number.

34225003125 is a `hidden beast` number, since 34 + 2 + 2 + 500 + 3 + 125 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 26621511921 + 7603491204 = 163161^2 + 87198^2 .

It is not a de Polignac number, because 34225003125 - 26 = 34225003061 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1705651 + ... + 1725599.

It is an arithmetic number, because the mean of its divisors is an integer number (872323725).

Almost surely, 234225003125 is an apocalyptic number.

It is an amenable number.

34225003125 is a deficient number, since it is larger than the sum of its proper divisors (28582305075).

34225003125 is an equidigital number, since it uses as much as digits as its factorization.

34225003125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20041 (or 20018 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 34225003125 its reverse (52130052243), we get a palindrome (86355055368).

The spelling of 34225003125 in words is "thirty-four billion, two hundred twenty-five million, three thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 61 75 125 183 225 305 375 549 625 915 1125 1525 1875 2745 3125 4575 5625 7625 9375 13725 19949 22875 28125 38125 59847 68625 99745 114375 179541 190625 299235 343125 498725 571875 897705 1216889 1496175 1715625 2493625 3650667 4488525 6084445 7480875 10952001 12468125 18253335 22442625 30422225 37404375 54760005 62340625 91266675 112213125 152111125 187021875 273800025 456333375 561065625 760555625 1369000125 2281666875 3802778125 6845000625 11408334375 34225003125