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334204323402433 = 112192911034544641
BaseRepresentation
bin100101111111101010000000…
…1111110101001001011000001
31121211022121202220212022221211
41023333110001332221023001
5322301100423242334213
63142443202513050121
7130252315454352301
oct11377240176511301
91554277686768854
10334204323402433
1197540291965600
1231597053856941
1311463442583143
145c7580b49d601
15289864c3c053d
hex12ff501fa92c1

334204323402433 has 48 divisors (see below), whose sum is σ = 400379324486400. Its totient is φ = 277654235443200.

The previous prime is 334204323402427. The next prime is 334204323402449.

It is a happy number.

334204323402433 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-334204323402433 is a prime.

It is a super-2 number, since 2×3342043234024332 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (334204323402233) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71265793 + ... + 75810433.

It is an arithmetic number, because the mean of its divisors is an integer number (8341235926800).

Almost surely, 2334204323402433 is an apocalyptic number.

It is an amenable number.

334204323402433 is a deficient number, since it is larger than the sum of its proper divisors (66175001083967).

334204323402433 is a wasteful number, since it uses less digits than its factorization.

334204323402433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4545814 (or 4545803 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 40.

The spelling of 334204323402433 in words is "three hundred thirty-four trillion, two hundred four billion, three hundred twenty-three million, four hundred two thousand, four hundred thirty-three".

Divisors: 1 11 19 29 121 209 319 551 1103 2299 3509 6061 12133 20957 31987 66671 133463 230527 351857 607753 2535797 3870427 4544641 6685283 49991051 73538113 86348179 131794589 549901561 949829969 1449740479 2504097191 5012739023 10448129659 15947145269 27545069101 55140129253 95242041437 145369431667 302995760111 606541421783 1047662455807 1599063748337 2762019201673 11524287013877 17589701231707 30382211218403 334204323402433