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331344223430004 = 223237248756924497
BaseRepresentation
bin100101101010110110001011…
…0101111000110010101110100
31121110012012100122011210212100
41023111230112233012111310
5321412220432144230004
63132413233532422100
7126535554512615541
oct11325542657062564
91543165318153770
10331344223430004
1196638329000224
12311b4892017930
13112b681a9b1155
145bb720880dbc8
152849054c01739
hex12d5b16bc6574

331344223430004 has 36 divisors (see below), whose sum is σ = 860201444914084. Its totient is φ = 107462991382272.

The previous prime is 331344223429987. The next prime is 331344223430021. The reversal of 331344223430004 is 400034322443133.

331344223430004 is a `hidden beast` number, since 3 + 3 + 1 + 344 + 2 + 2 + 3 + 4 + 300 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (331344223429987) and next prime (331344223430021).

It can be written as a sum of positive squares in 2 ways, for example, as 245269990565604 + 86074232864400 = 15661098^2 + 9277620^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124378460917 + ... + 124378463580.

Almost surely, 2331344223430004 is an apocalyptic number.

It is an amenable number.

331344223430004 is an abundant number, since it is smaller than the sum of its proper divisors (528857221484080).

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

331344223430004 is a wasteful number, since it uses less digits than its factorization.

331344223430004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248756924544 (or 248756924539 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 331344223430004 its reverse (400034322443133), we get a palindrome (731378545873137).

The spelling of 331344223430004 in words is "three hundred thirty-one trillion, three hundred forty-four billion, two hundred twenty-three million, four hundred thirty thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 248756924497 497513848994 746270773491 995027697988 1492541546982 2238812320473 2985083093964 4477624640946 8955249281892 9204006206389 18408012412778 27612018619167 36816024825556 55224037238334 82836055857501 110448074476668 165672111715002 331344223430004