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14600144430 = 233561886469
BaseRepresentation
bin11011001100011110…
…01000011000101110
31101200111202011222000
431212033020120232
5214400114110210
610412431433130
71024543115514
oct154617103056
941614664860
1014600144430
116212445673
1229b56857a6
1314b8a58421
149c709a4b4
155a6b7dac0
hex3663c862e

14600144430 has 64 divisors (see below), whose sum is σ = 39572020800. Its totient is φ = 3829541760.

The previous prime is 14600144359. The next prime is 14600144473. The reversal of 14600144430 is 3444100641.

14600144430 is a `hidden beast` number, since 1 + 4 + 600 + 14 + 4 + 43 + 0 = 666.

14600144430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 14600144394 and 14600144403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 426765 + ... + 459704.

It is an arithmetic number, because the mean of its divisors is an integer number (618312825).

Almost surely, 214600144430 is an apocalyptic number.

14600144430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14600144430 is an abundant number, since it is smaller than the sum of its proper divisors (24971876370).

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

14600144430 is a wasteful number, since it uses less digits than its factorization.

14600144430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886546 (or 886540 counting only the distinct ones).

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

The spelling of 14600144430 in words is "fourteen billion, six hundred million, one hundred forty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 61 90 122 135 183 270 305 366 549 610 915 1098 1647 1830 2745 3294 5490 8235 16470 886469 1772938 2659407 4432345 5318814 7978221 8864690 13297035 15956442 23934663 26594070 39891105 47869326 54074609 79782210 108149218 119673315 162223827 239346630 270373045 324447654 486671481 540746090 811119135 973342962 1460014443 1622238270 2433357405 2920028886 4866714810 7300072215 14600144430