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214144130430 = 2335793126409
BaseRepresentation
bin1100011101101111111…
…1000001110101111110
3202110202001221221212000
43013123333001311332
512002031344133210
6242213151523130
721320456034606
oct3073377016576
9673661857760
10214144130430
11828aa86279a
12356045294a6
1317269753419
14a516795c06
155885077ac0
hex31dbfc1d7e

214144130430 has 32 divisors (see below), whose sum is σ = 571051015200. Its totient is φ = 57105101376.

The previous prime is 214144130413. The next prime is 214144130443. The reversal of 214144130430 is 34031441412.

214144130430 is a `hidden beast` number, since 21 + 41 + 44 + 130 + 430 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 214144130394 and 214144130403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 396562935 + ... + 396563474.

It is an arithmetic number, because the mean of its divisors is an integer number (17845344225).

Almost surely, 2214144130430 is an apocalyptic number.

214144130430 is an abundant number, since it is smaller than the sum of its proper divisors (356906884770).

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

214144130430 is a wasteful number, since it uses less digits than its factorization.

214144130430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793126425 (or 793126419 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 214144130430 its reverse (34031441412), we get a palindrome (248175571842).

The spelling of 214144130430 in words is "two hundred fourteen billion, one hundred forty-four million, one hundred thirty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 793126409 1586252818 2379379227 3965632045 4758758454 7138137681 7931264090 11896896135 14276275362 21414413043 23793792270 35690688405 42828826086 71381376810 107072065215 214144130430