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334103404343241 = 313531736731388287
BaseRepresentation
bin100101111110111011000001…
…0101110111110111111001001
31121210221222021200211221111210
41023331312002232332333021
5322242422233002440431
63142324552435243333
7130242113550455031
oct11375660256767711
91553858250757453
10334103404343241
119750150476a755
123157b58a149549
1311456a7b535bc0
145c709963608c1
152895be2641d46
hex12fdd82bbefc9

334103404343241 has 64 divisors (see below), whose sum is σ = 492346099187712. Its totient is φ = 200258633981952.

The previous prime is 334103404343239. The next prime is 334103404343243. The reversal of 334103404343241 is 142343404301433.

It is an interprime number because it is at equal distance from previous prime (334103404343239) and next prime (334103404343243).

It is not a de Polignac number, because 334103404343241 - 21 = 334103404343239 is a prime.

It is a super-2 number, since 2×3341034043432412 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 334103404343241.

It is not an unprimeable number, because it can be changed into a prime (334103404343243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 239964600 + ... + 241352886.

It is an arithmetic number, because the mean of its divisors is an integer number (7692907799808).

Almost surely, 2334103404343241 is an apocalyptic number.

It is an amenable number.

334103404343241 is a deficient number, since it is larger than the sum of its proper divisors (158242694844471).

334103404343241 is a wasteful number, since it uses less digits than its factorization.

334103404343241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389202.

The product of its (nonzero) digits is 497664, while the sum is 39.

Adding to 334103404343241 its reverse (142343404301433), we get a palindrome (476446808644674).

The spelling of 334103404343241 in words is "three hundred thirty-four trillion, one hundred three billion, four hundred four million, three hundred forty-three thousand, two hundred forty-one".

Divisors: 1 3 13 39 53 159 173 519 673 689 2019 2067 2249 6747 8749 9169 26247 27507 35669 107007 116429 119197 349287 357591 463697 1388287 1391091 1513577 4164861 4540731 6170737 18047731 18512211 54143193 73579211 80219581 220737633 240173651 240658743 720520953 934317151 956529743 2802951453 2869589229 3122257463 9366772389 12146122963 12729203503 36438368889 38187610509 49518809003 148556427009 161636867123 165479645539 484910601369 496438936617 643744517039 1931233551117 2101279272599 6303837817797 8566753957519 25700261872557 111367801447747 334103404343241