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214024334334012 = 223310478918911401
BaseRepresentation
bin110000101010011101101100…
…011010111101100000111100
31001001210112012211220021002000
4300222131230122331200330
5211023033314042142022
62035105231041502300
763036514344264366
oct6052355432754074
91031715184807060
10214024334334012
1162216235146284
1220007424641990
13925653c86b827
143abcb93c7bd36
1519b23e64c06ac
hexc2a76c6bd83c

214024334334012 has 48 divisors (see below), whose sum is σ = 554883228362400. Its totient is φ = 71340760195200.

The previous prime is 214024334333981. The next prime is 214024334334017. The reversal of 214024334334012 is 210433433420412.

214024334334012 is a `hidden beast` number, since 2 + 1 + 4 + 0 + 243 + 3 + 4 + 3 + 3 + 401 + 2 = 666.

It is a super-2 number, since 2×2140243343340122 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214024334334017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1861512 + ... + 20772912.

It is an arithmetic number, because the mean of its divisors is an integer number (11560067257550).

Almost surely, 2214024334334012 is an apocalyptic number.

It is an amenable number.

214024334334012 is an abundant number, since it is smaller than the sum of its proper divisors (340858894028388).

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

214024334334012 is a wasteful number, since it uses less digits than its factorization.

214024334334012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19016203 (or 19016195 counting only the distinct ones).

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

Adding to 214024334334012 its reverse (210433433420412), we get a palindrome (424457767754424).

The spelling of 214024334334012 in words is "two hundred fourteen trillion, twenty-four billion, three hundred thirty-four million, three hundred thirty-four thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 104789 209578 314367 419156 628734 943101 1257468 1886202 2829303 3772404 5658606 11317212 18911401 37822802 56734203 75645604 113468406 170202609 226936812 340405218 510607827 680810436 1021215654 2042431308 1981706799389 3963413598778 5945120398167 7926827197556 11890240796334 17835361194501 23780481592668 35670722389002 53506083583503 71341444778004 107012167167006 214024334334012