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14443444432 = 242943172223
BaseRepresentation
bin11010111001110010…
…10111100011010000
31101021120212222222101
431130321113203100
5214040010210212
610345113050144
71020631152304
oct153471274320
941246788871
1014443444432
116141a4763a
1229710b6954
131492451a31
149b0349d04
15598029157
hex35ce578d0

14443444432 has 40 divisors (see below), whose sum is σ = 29016714240. Its totient is φ = 6956423040.

The previous prime is 14443444423. The next prime is 14443444441. The reversal of 14443444432 is 23444434441.

It is an interprime number because it is at equal distance from previous prime (14443444423) and next prime (14443444441).

It is a super-2 number, since 2×144434444322 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 14443444391 and 14443444400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 163873 + ... + 236095.

It is an arithmetic number, because the mean of its divisors is an integer number (725417856).

Almost surely, 214443444432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14443444432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14508357120).

14443444432 is an abundant number, since it is smaller than the sum of its proper divisors (14573269808).

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

14443444432 is a wasteful number, since it uses less digits than its factorization.

14443444432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72691 (or 72685 counting only the distinct ones).

The product of its digits is 294912, while the sum is 37.

Adding to 14443444432 its reverse (23444434441), we get a palindrome (37887878873).

Subtracting 14443444432 from its reverse (23444434441), we obtain a palindrome (9000990009).

The spelling of 14443444432 in words is "fourteen billion, four hundred forty-three million, four hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 29 58 116 232 431 464 862 1724 3448 6896 12499 24998 49996 72223 99992 144446 199984 288892 577784 1155568 2094467 4188934 8377868 16755736 31128113 33511472 62256226 124512452 249024904 498049808 902715277 1805430554 3610861108 7221722216 14443444432