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34314501225 = 3527912894493
BaseRepresentation
bin11111111101010011…
…011011110001101001
310021120102210021101210
4133331103123301221
51030234003014400
623432554503333
72323226306424
oct377523336151
9107512707353
1034314501225
1113609706724
126797a34b49
13330b1c0bc4
1419374689bb
15d5c7c4950
hex7fd4dbc69

34314501225 has 48 divisors (see below), whose sum is σ = 57508819200. Its totient is φ = 18051371520.

The previous prime is 34314501203. The next prime is 34314501229. The reversal of 34314501225 is 52210541343.

It is not a de Polignac number, because 34314501225 - 26 = 34314501161 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34314501192 and 34314501201.

It is not an unprimeable number, because it can be changed into a prime (34314501229) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 7635079 + ... + 7639571.

It is an arithmetic number, because the mean of its divisors is an integer number (1198100400).

Almost surely, 234314501225 is an apocalyptic number.

It is an amenable number.

34314501225 is a deficient number, since it is larger than the sum of its proper divisors (23194317975).

34314501225 is a wasteful number, since it uses less digits than its factorization.

34314501225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5874 (or 5869 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 34314501225 in words is "thirty-four billion, three hundred fourteen million, five hundred one thousand, two hundred twenty-five".

Divisors: 1 3 5 15 25 75 79 237 395 1185 1289 1975 3867 4493 5925 6445 13479 19335 22465 32225 67395 96675 101831 112325 305493 336975 354947 509155 1064841 1527465 1774735 2545775 5324205 5791477 7637325 8873675 17374431 26621025 28957385 86872155 144786925 434360775 457526683 1372580049 2287633415 6862900245 11438167075 34314501225