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334142451225 = 325211271498181
BaseRepresentation
bin1001101110011000111…
…00010010111000011001
31011221110221222020220200
410313030130102320121
520433310431414400
6413300344212413
733066234654432
oct4671434227031
91157427866820
10334142451225
11119788780240
125491376a109
13256814a037b
141225b7c2489
158a59ceab00
hex4dcc712e19

334142451225 has 72 divisors (see below), whose sum is σ = 655304617344. Its totient is φ = 161410320000.

The previous prime is 334142451193. The next prime is 334142451301. The reversal of 334142451225 is 522154241433.

It is a happy number.

334142451225 is a `hidden beast` number, since 3 + 3 + 4 + 1 + 424 + 5 + 1 + 225 = 666.

It is not a de Polignac number, because 334142451225 - 25 = 334142451193 is a prime.

It is a super-2 number, since 2×3341424512252 (a number of 24 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 334142451225.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 421635 + ... + 919815.

Almost surely, 2334142451225 is an apocalyptic number.

It is an amenable number.

334142451225 is a deficient number, since it is larger than the sum of its proper divisors (321162166119).

334142451225 is a wasteful number, since it uses less digits than its factorization.

334142451225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498479 (or 498471 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

Adding to 334142451225 its reverse (522154241433), we get a palindrome (856296692658).

The spelling of 334142451225 in words is "three hundred thirty-four billion, one hundred forty-two million, four hundred fifty-one thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 165 225 271 275 495 813 825 1355 2439 2475 2981 4065 6775 8943 12195 14905 20325 26829 44715 60975 74525 134145 223575 498181 670725 1494543 2490905 4483629 5479991 7472715 12454525 16439973 22418145 27399955 37363575 49319919 82199865 112090725 135007051 136999775 246599595 405021153 410999325 675035255 1215063459 1232997975 1485077561 2025105765 3375176275 4455232683 6075317295 7425387805 10125528825 13365698049 22276163415 30376586475 37126939025 66828490245 111380817075 334142451225