Search a number
-
+
14453218416 = 2437133308887
BaseRepresentation
bin11010111010111101…
…01001110001110000
31101022021021120100210
431131132221301300
5214100010442131
610350102344120
71021110221010
oct153536516160
941267246323
1014453218416
116147512a0a
12297442b040
131494494760
149b1771c40
15598d0a146
hex35d7a9c70

14453218416 has 80 divisors (see below), whose sum is σ = 45953836544. Its totient is φ = 3811836672.

The previous prime is 14453218411. The next prime is 14453218453. The reversal of 14453218416 is 61481235441.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14453218411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1650076 + ... + 1658811.

Almost surely, 214453218416 is an apocalyptic number.

14453218416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14453218416 is an abundant number, since it is smaller than the sum of its proper divisors (31500618128).

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

14453218416 is a wasteful number, since it uses less digits than its factorization.

14453218416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3308918 (or 3308912 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The spelling of 14453218416 in words is "fourteen billion, four hundred fifty-three million, two hundred eighteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 2184 4368 3308887 6617774 9926661 13235548 19853322 23162209 26471096 39706644 43015531 46324418 52942192 69486627 79413288 86031062 92648836 129046593 138973254 158826576 172062124 185297672 258093186 277946508 301108717 344124248 370595344 516186372 555893016 602217434 688248496 903326151 1032372744 1111786032 1204434868 1806652302 2064745488 2408869736 3613304604 4817739472 7226609208 14453218416