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334441420103430 = 2345463998898697
BaseRepresentation
bin100110000001011000011011…
…0000010110001111100000110
31121212011021202121010200110000
41030002300312002301330012
5322313442012021302210
63143144133430142130
7130305411110146443
oct11402606602617406
91555137677120400
10334441420103430
119762189a862282
1231614ba2ab1946
131147c8c92ca363
145c830a03189ca
15289e8c74d9ac0
hex1302c360b1f06

334441420103430 has 80 divisors (see below), whose sum is σ = 899295300921600. Its totient is φ = 89182446553728.

The previous prime is 334441420103411. The next prime is 334441420103431. The reversal of 334441420103430 is 34301024144433.

334441420103430 is a `hidden beast` number, since 3 + 3 + 4 + 4 + 4 + 14 + 201 + 0 + 3 + 430 = 666.

It is a super-2 number, since 2×3344414201034302 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334441420103431) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 33133842 + ... + 42032538.

It is an arithmetic number, because the mean of its divisors is an integer number (11241191261520).

Almost surely, 2334441420103430 is an apocalyptic number.

334441420103430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

334441420103430 is an abundant number, since it is smaller than the sum of its proper divisors (564853880818170).

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

334441420103430 is a wasteful number, since it uses less digits than its factorization.

334441420103430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8945115 (or 8945106 counting only the distinct ones).

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

Adding to 334441420103430 its reverse (34301024144433), we get a palindrome (368742444247863).

The spelling of 334441420103430 in words is "three hundred thirty-four trillion, four hundred forty-one billion, four hundred twenty million, one hundred three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 46399 92798 139197 231995 278394 417591 463990 695985 835182 1252773 1391970 2087955 2505546 3758319 4175910 6263865 7516638 8898697 12527730 17797394 18791595 26696091 37583190 44493485 53392182 80088273 88986970 133480455 160176546 240264819 266960910 400441365 480529638 720794457 800882730 1201324095 1441588914 2402648190 3603972285 7207944570 412890642103 825781284206 1238671926309 2064453210515 2477343852618 3716015778927 4128906421030 6193359631545 7432031557854 11148047336781 12386719263090 18580078894635 22296094673562 33444142010343 37160157789270 55740236683905 66888284020686 111480473367810 167220710051715 334441420103430