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214423240300344 = 233213212254428887
BaseRepresentation
bin110000110000010001001101…
…000100011101011100111000
31001010012122212021211222000100
4300300101031010131130320
5211101102244004102334
62040012402101035400
763110365533122025
oct6060211504353470
91033178767758010
10214423240300344
116235a427168a19
12200707b13b5b60
139285042637a6a
143ad41d6a1654c
1519bc991d10c99
hexc3044d11d738

214423240300344 has 48 divisors (see below), whose sum is σ = 581169223037520. Its totient is φ = 71420307108480.

The previous prime is 214423240300319. The next prime is 214423240300397. The reversal of 214423240300344 is 443003042324412.

214423240300344 is a `hidden beast` number, since 2 + 1 + 4 + 4 + 2 + 3 + 2 + 4 + 0 + 300 + 344 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 214423240300299 and 214423240300308.

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, 1127119332 + ... + 1127309555.

It is an arithmetic number, because the mean of its divisors is an integer number (12107692146615).

Almost surely, 2214423240300344 is an apocalyptic number.

214423240300344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214423240300344 is an abundant number, since it is smaller than the sum of its proper divisors (366745982737176).

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

214423240300344 is a wasteful number, since it uses less digits than its factorization.

214423240300344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2254430220 (or 2254430213 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 214423240300344 its reverse (443003042324412), we get a palindrome (657426282624756).

The spelling of 214423240300344 in words is "two hundred fourteen trillion, four hundred twenty-three billion, two hundred forty million, three hundred thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1321 2642 3963 5284 7926 10568 11889 15852 23778 31704 47556 95112 2254428887 4508857774 6763286661 9017715548 13526573322 18035431096 20289859983 27053146644 40579719966 54106293288 81159439932 162318879864 2978100559727 5956201119454 8934301679181 11912402238908 17868603358362 23824804477816 26802905037543 35737206716724 53605810075086 71474413433448 107211620150172 214423240300344