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34402225122976 = 254126221208173
BaseRepresentation
bin1111101001001111001000…
…11010000110111010100000
311111210211011012220210022011
413310213210122012322200
514002121224112413401
6201100055233322304
710150323131466334
oct764474432067240
9144724135823264
1034402225122976
11aa639a1243927
123a3746b706394
131627167862819
1486d1101c97c4
153e9d32bad451
hex1f49e4686ea0

34402225122976 has 24 divisors (see below), whose sum is σ = 69381316828404. Its totient is φ = 16781573230080.

The previous prime is 34402225122943. The next prime is 34402225122997. The reversal of 34402225122976 is 67922152220443.

It can be written as a sum of positive squares in 2 ways, for example, as 34028322224400 + 373902898576 = 5833380^2 + 611476^2 .

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13110602775 + ... + 13110605398.

Almost surely, 234402225122976 is an apocalyptic number.

It is an amenable number.

34402225122976 is an abundant number, since it is smaller than the sum of its proper divisors (34979091705428).

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

34402225122976 is a wasteful number, since it uses less digits than its factorization.

34402225122976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26221208224 (or 26221208216 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 49.

The spelling of 34402225122976 in words is "thirty-four trillion, four hundred two billion, two hundred twenty-five million, one hundred twenty-two thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 1312 26221208173 52442416346 104884832692 209769665384 419539330768 839078661536 1075069535093 2150139070186 4300278140372 8600556280744 17201112561488 34402225122976