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334045064336121 = 32257144420693617
BaseRepresentation
bin100101111110011111110110…
…1011001100001001011111001
31121210202101200212211111220100
41023330333231121201023321
5322240443242432223441
63142242103430350013
7130234650045544515
oct11374775531411371
91553671625744810
10334045064336121
119748979730a936
12315702081bb309
1311451411988428
145c6bc2013b145
15289442a9ddcb6
hex12fcfed6612f9

334045064336121 has 12 divisors (see below), whose sum is σ = 484387006394772. Its totient is φ = 221830185394176.

The previous prime is 334045064335943. The next prime is 334045064336143. The reversal of 334045064336121 is 121633460540433.

334045064336121 is a `hidden beast` number, since 3 + 3 + 4 + 0 + 450 + 6 + 43 + 36 + 121 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 319645589463225 + 14399474872896 = 17878635^2 + 3794664^2 .

It is not a de Polignac number, because 334045064336121 - 210 = 334045064335097 is a prime.

It is a super-2 number, since 2×3340450643361212 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (334045064335121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72210344496 + ... + 72210349121.

It is an arithmetic number, because the mean of its divisors is an integer number (40365583866231).

Almost surely, 2334045064336121 is an apocalyptic number.

It is an amenable number.

334045064336121 is a deficient number, since it is larger than the sum of its proper divisors (150341942058651).

334045064336121 is a wasteful number, since it uses less digits than its factorization.

334045064336121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144420693880 (or 144420693877 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 45.

The spelling of 334045064336121 in words is "three hundred thirty-four trillion, forty-five billion, sixty-four million, three hundred thirty-six thousand, one hundred twenty-one".

Divisors: 1 3 9 257 771 2313 144420693617 433262080851 1299786242553 37116118259569 111348354778707 334045064336121