Search a number
-
+
14322842820 = 22355111337557
BaseRepresentation
bin11010101011011010…
…10011110011000100
31100222011221210200000
431111231103303010
5213313121432240
610325124121300
71014635104146
oct152555236304
940864853600
1014322842820
11608a964890
122938836230
131473477030
1499c314c96
1558c655430
hex355b53cc4

14322842820 has 576 divisors, whose sum is σ = 54460014336. Its totient is φ = 3112888320.

The previous prime is 14322842767. The next prime is 14322842843. The reversal of 14322842820 is 2824822341.

14322842820 is a `hidden beast` number, since 1 + 4 + 3 + 228 + 428 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25713982 + ... + 25714538.

It is an arithmetic number, because the mean of its divisors is an integer number (94548636).

Almost surely, 214322842820 is an apocalyptic number.

14322842820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14322842820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27230007168).

14322842820 is an abundant number, since it is smaller than the sum of its proper divisors (40137171516).

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

14322842820 is a wasteful number, since it uses less digits than its factorization.

14322842820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 14322842820 in words is "fourteen billion, three hundred twenty-two million, eight hundred forty-two thousand, eight hundred twenty".