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334102424201433 = 325091487296316553
BaseRepresentation
bin100101111110111010100100…
…0010100000010100011011001
31121210221212202101112120201100
41023331311020110002203121
5322242413231043421213
63142324311303342013
7130242050346422526
oct11375651024024331
91553855671476640
10334102424201433
119750105147a6a8
123157b355a51909
131145695345c734
145c7090210214d
152895b86584773
hex12fdd485028d9

334102424201433 has 48 divisors (see below), whose sum is σ = 484058231504640. Its totient is φ = 222059472559872.

The previous prime is 334102424201393. The next prime is 334102424201443.

334102424201433 is a `hidden beast` number, since 3 + 3 + 4 + 10 + 2 + 4 + 2 + 4 + 201 + 433 = 666.

334102424201433 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 334102424201433 - 28 = 334102424201177 is a prime.

It is a super-2 number, since 2×3341024242014332 (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (334102424201443) 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, 20183790685 + ... + 20183807237.

It is an arithmetic number, because the mean of its divisors is an integer number (10084546489680).

Almost surely, 2334102424201433 is an apocalyptic number.

It is an amenable number.

334102424201433 is a deficient number, since it is larger than the sum of its proper divisors (149955807303207).

334102424201433 is a wasteful number, since it uses less digits than its factorization.

334102424201433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21518 (or 21515 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

The spelling of 334102424201433 in words is "three hundred thirty-four trillion, one hundred two billion, four hundred twenty-four million, two hundred one thousand, four hundred thirty-three".

Divisors: 1 3 9 509 1487 1527 2963 4461 4581 8889 13383 16553 26667 49659 148977 756883 1508167 2270649 4405981 4524501 6811947 8425477 13217943 13573503 24614311 25276431 39653829 49046539 73842933 75829293 147139617 221528799 441418851 2242644329 6727932987 12528684299 20183798961 24964688351 37586052897 72932203493 74894065053 112758158691 218796610479 224682195159 656389831437 37122491577937 111367474733811 334102424201433