Search a number
-
+
14143432440 = 2335868113577
BaseRepresentation
bin11010010110000001…
…11010011011111000
31100111200100210220010
431023000322123320
5212431204314230
610255234501520
71010326122624
oct151300723370
940450323803
1014143432440
115aa8665145
1228a87348a0
13144524b647
14982572184
1557ba169b0
hex34b03a6f8

14143432440 has 64 divisors (see below), whose sum is σ = 42438310560. Its totient is φ = 3770869760.

The previous prime is 14143432411. The next prime is 14143432451. The reversal of 14143432440 is 4423434141.

14143432440 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 14143432398 and 14143432407.

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, 1034932 + ... + 1048508.

Almost surely, 214143432440 is an apocalyptic number.

14143432440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14143432440 is an abundant number, since it is smaller than the sum of its proper divisors (28294878120).

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

14143432440 is a wasteful number, since it uses less digits than its factorization.

14143432440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22272 (or 22268 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 14143432440 its reverse (4423434141), we get a palindrome (18566866581).

The spelling of 14143432440 in words is "fourteen billion, one hundred forty-three million, four hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 8681 13577 17362 26043 27154 34724 40731 43405 52086 54308 67885 69448 81462 86810 104172 108616 130215 135770 162924 173620 203655 208344 260430 271540 325848 347240 407310 520860 543080 814620 1041720 1629240 117861937 235723874 353585811 471447748 589309685 707171622 942895496 1178619370 1414343244 1767929055 2357238740 2828686488 3535858110 4714477480 7071716220 14143432440