Search a number
-
+
14442075414 = 23313138114897
BaseRepresentation
bin11010111001101000…
…01001010100010110
31101021111022110001000
431130310021110112
5214034132403124
610345023444130
71020613421064
oct153464112426
941244273030
1014442075414
1161411a2018
122970756646
131492092870
149b00b1034
15597d586c9
hex35cd09516

14442075414 has 64 divisors (see below), whose sum is σ = 34589580480. Its totient is φ = 4440199680.

The previous prime is 14442075413. The next prime is 14442075419. The reversal of 14442075414 is 41457024441.

14442075414 is a `hidden beast` number, since 1 + 444 + 207 + 5 + 4 + 1 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14442075413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 962014 + ... + 976910.

It is an arithmetic number, because the mean of its divisors is an integer number (540462195).

Almost surely, 214442075414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14442075414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17294790240).

14442075414 is an abundant number, since it is smaller than the sum of its proper divisors (20147505066).

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

14442075414 is a wasteful number, since it uses less digits than its factorization.

14442075414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16302 (or 16296 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

Adding to 14442075414 its reverse (41457024441), we get a palindrome (55899099855).

The spelling of 14442075414 in words is "fourteen billion, four hundred forty-two million, seventy-five thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 1381 2762 4143 8286 12429 14897 17953 24858 29794 35906 37287 44691 53859 74574 89382 107718 134073 161577 193661 268146 323154 387322 402219 484731 580983 804438 969462 1161966 1742949 3485898 5228847 10457694 20572757 41145514 61718271 123436542 185154813 267445841 370309626 534891682 555464439 802337523 1110928878 1604675046 2407012569 4814025138 7221037707 14442075414