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14441599440 = 2432520057777
BaseRepresentation
bin11010111001100100…
…10101000111010000
31101021110102021010100
431130302111013100
5214034022140230
610345005332400
71020606366312
oct153462250720
941243367110
1014441599440
1161409a7454
122970567100
131491c57018
149addc97b2
15597cb2660
hex35cc951d0

14441599440 has 60 divisors (see below), whose sum is σ = 48499707204. Its totient is φ = 3851092992.

The previous prime is 14441599429. The next prime is 14441599441. The reversal of 14441599440 is 4499514441.

14441599440 is a `hidden beast` number, since 14 + 4 + 4 + 1 + 599 + 4 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6897634704 + 7543964736 = 83052^2 + 86856^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14441599441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10028169 + ... + 10029608.

Almost surely, 214441599440 is an apocalyptic number.

14441599440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14441599440 is an abundant number, since it is smaller than the sum of its proper divisors (34058107764).

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

14441599440 is a wasteful number, since it uses less digits than its factorization.

14441599440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20057796 (or 20057787 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 14441599440 in words is "fourteen billion, four hundred forty-one million, five hundred ninety-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 20057777 40115554 60173331 80231108 100288885 120346662 160462216 180519993 200577770 240693324 300866655 320924432 361039986 401155540 481386648 601733310 722079972 802311080 902599965 962773296 1203466620 1444159944 1604622160 1805199930 2406933240 2888319888 3610399860 4813866480 7220799720 14441599440