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214300344332304 = 24321488196835641
BaseRepresentation
bin110000101110011110101111…
…111001100011000000010000
31001002202220122110101221012100
4300232132233321203000100
5211042044101122113204
62035440115154000400
763065455210461066
oct6056365771430020
91032686573357170
10214300344332304
11623122a163918a
1220050a13876100
139276588491c49
143acc298c28036
1519b969c9b5a39
hexc2e7afe63010

214300344332304 has 30 divisors (see below), whose sum is σ = 599743324763726. Its totient is φ = 71433448110720.

The previous prime is 214300344332293. The next prime is 214300344332341. The reversal of 214300344332304 is 403233443003412.

214300344332304 is a `hidden beast` number, since 2 + 1 + 4 + 3 + 0 + 0 + 344 + 3 + 3 + 2 + 304 = 666.

It can be written as a sum of positive squares in only one way, i.e., 199723373051904 + 14576971280400 = 14132352^2 + 3817980^2 .

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

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 5 ways as a sum of consecutive naturals, for example, 744098417677 + ... + 744098417964.

Almost surely, 2214300344332304 is an apocalyptic number.

214300344332304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214300344332304 is an abundant number, since it is smaller than the sum of its proper divisors (385442980431422).

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

214300344332304 is a wasteful number, since it uses less digits than its factorization.

214300344332304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488196835655 (or 1488196835646 counting only the distinct ones).

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

Adding to 214300344332304 its reverse (403233443003412), we get a palindrome (617533787335716).

The spelling of 214300344332304 in words is "two hundred fourteen trillion, three hundred billion, three hundred forty-four million, three hundred thirty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1488196835641 2976393671282 4464590506923 5952787342564 8929181013846 11905574685128 13393771520769 17858362027692 23811149370256 26787543041538 35716724055384 53575086083076 71433448110768 107150172166152 214300344332304