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334441013004 = 223272189592411
BaseRepresentation
bin1001101110111100011…
…11001101111100001100
31011222020202202202200100
410313132033031330030
520434413344404004
6413350131331100
733106521464100
oct4673617157414
91158222682610
10334441013004
1111992126210a
1254997750a90
13256cb2b6647
14122892dd900
158a76123739
hex4dde3cdf0c

334441013004 has 54 divisors (see below), whose sum is σ = 983415841044. Its totient is φ = 95554574640.

The previous prime is 334441012987. The next prime is 334441013017. The reversal of 334441013004 is 400310144433.

334441013004 is a `hidden beast` number, since 3 + 344 + 4 + 10 + 1 + 300 + 4 = 666.

It is a super-2 number, since 2×3344410130042 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 94794442 + ... + 94797969.

Almost surely, 2334441013004 is an apocalyptic number.

It is an amenable number.

334441013004 is an abundant number, since it is smaller than the sum of its proper divisors (648974828040).

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

334441013004 is a wasteful number, since it uses less digits than its factorization.

334441013004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189592435 (or 189592423 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 334441013004 its reverse (400310144433), we get a palindrome (734751157437).

The spelling of 334441013004 in words is "three hundred thirty-four billion, four hundred forty-one million, thirteen thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 189592411 379184822 568777233 758369644 1137554466 1327146877 1706331699 2275108932 2654293754 3412663398 3981440631 5308587508 6825326796 7962881262 9290028139 11944321893 15925762524 18580056278 23888643786 27870084417 37160112556 47777287572 55740168834 83610253251 111480337668 167220506502 334441013004