Search a number
-
+
14023973584 = 2429227313297
BaseRepresentation
bin11010000111110010…
…01101101011010000
31100012100120200011001
431003321031223100
5212210114123314
610235330231344
71004345544235
oct150371155320
940170520131
1014023973584
115a47192a15
122874725554
131426583b2a
1497075778c
155712bb674
hex343e4dad0

14023973584 has 40 divisors (see below), whose sum is σ = 28122876360. Its totient is φ = 6766706688.

The previous prime is 14023973573. The next prime is 14023973611. The reversal of 14023973584 is 48537932041.

14023973584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 975937600 + 13048035984 = 31240^2 + 114228^2 .

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 7 ways as a sum of consecutive naturals, for example, 1048024 + ... + 1061320.

It is an arithmetic number, because the mean of its divisors is an integer number (703071909).

Almost surely, 214023973584 is an apocalyptic number.

It is an amenable number.

14023973584 is an abundant number, since it is smaller than the sum of its proper divisors (14098902776).

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

14023973584 is a wasteful number, since it uses less digits than its factorization.

14023973584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15607 (or 15601 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The spelling of 14023973584 in words is "fourteen billion, twenty-three million, nine hundred seventy-three thousand, five hundred eighty-four".

Divisors: 1 2 4 8 16 29 58 116 232 464 2273 4546 9092 13297 18184 26594 36368 53188 65917 106376 131834 212752 263668 385613 527336 771226 1054672 1542452 3084904 6169808 30224081 60448162 120896324 241792648 483585296 876498349 1752996698 3505993396 7011986792 14023973584