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14434002520 = 235731052041
BaseRepresentation
bin11010111000101010…
…10110011001011000
31101020221010022002221
431130111112121120
5214030101040040
610344134433424
71020454666000
oct153425263130
941227108087
1014434002520
116137688803
122969b02874
1314904c71c2
149acdad000
155972b174a
hex35c556658

14434002520 has 64 divisors (see below), whose sum is σ = 37873512000. Its totient is φ = 4948796160.

The previous prime is 14434002497. The next prime is 14434002553. The reversal of 14434002520 is 2520043441.

It is a happy number.

14434002520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 512301 + ... + 539740.

It is an arithmetic number, because the mean of its divisors is an integer number (591773625).

Almost surely, 214434002520 is an apocalyptic number.

14434002520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14434002520 is an abundant number, since it is smaller than the sum of its proper divisors (23439509480).

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

14434002520 is a wasteful number, since it uses less digits than its factorization.

14434002520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052073 (or 1052055 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 14434002520 its reverse (2520043441), we get a palindrome (16954045961).

The spelling of 14434002520 in words is "fourteen billion, four hundred thirty-four million, two thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 343 392 490 686 980 1372 1715 1960 2744 3430 6860 13720 1052041 2104082 4208164 5260205 7364287 8416328 10520410 14728574 21040820 29457148 36821435 42081640 51550009 58914296 73642870 103100018 147285740 206200036 257750045 294571480 360850063 412400072 515500090 721700126 1031000180 1443400252 1804250315 2062000360 2886800504 3608500630 7217001260 14434002520