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214300434420 = 223251190557969
BaseRepresentation
bin1100011110010101001…
…1010001111111110100
3202111010222002000121200
43013211103101333310
512002341402400140
6242240454012500
721324364431432
oct3074523217764
9674128060550
10214300434420
1182980010246
1235648947130
1317292c4b7a7
14a52d441d52
155893b50030
hex31e54d1ff4

214300434420 has 36 divisors (see below), whose sum is σ = 650044651620. Its totient is φ = 57146782464.

The previous prime is 214300434407. The next prime is 214300434443. The reversal of 214300434420 is 24434003412.

It is a happy number.

214300434420 is a `hidden beast` number, since 2 + 14 + 300 + 4 + 344 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 68127264144 + 146173170276 = 261012^2 + 382326^2 .

It is a tau number, because it is divible by the number of its divisors (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, 595278805 + ... + 595279164.

Almost surely, 2214300434420 is an apocalyptic number.

214300434420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214300434420 is an abundant number, since it is smaller than the sum of its proper divisors (435744217200).

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

214300434420 is a wasteful number, since it uses less digits than its factorization.

214300434420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190557984 (or 1190557979 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 214300434420 its reverse (24434003412), we get a palindrome (238734437832).

The spelling of 214300434420 in words is "two hundred fourteen billion, three hundred million, four hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1190557969 2381115938 3571673907 4762231876 5952789845 7143347814 10715021721 11905579690 14286695628 17858369535 21430043442 23811159380 35716739070 42860086884 53575108605 71433478140 107150217210 214300434420