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14444140434 = 23311311374327
BaseRepresentation
bin11010111001111000…
…00001011110010010
31101021122012100201020
431130330001132102
5214040144443214
610345140020310
71020640111413
oct153474013622
941248170636
1014444140434
116142382549
122971391696
131492636779
149b048b80a
155981154a9
hex35cf01792

14444140434 has 64 divisors (see below), whose sum is σ = 30274117632. Its totient is φ = 4589020800.

The previous prime is 14444140433. The next prime is 14444140471. The reversal of 14444140434 is 43404144441.

14444140434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×144441404342 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14444140395 and 14444140404.

It is not an unprimeable number, because it can be changed into a prime (14444140433) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3335979 + ... + 3340305.

It is an arithmetic number, because the mean of its divisors is an integer number (473033088).

Almost surely, 214444140434 is an apocalyptic number.

14444140434 is an abundant number, since it is smaller than the sum of its proper divisors (15829977198).

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

14444140434 is a wasteful number, since it uses less digits than its factorization.

14444140434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4631.

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 14444140434 its reverse (43404144441), we get a palindrome (57848284875).

The spelling of 14444140434 in words is "fourteen billion, four hundred forty-four million, one hundred forty thousand, four hundred thirty-four".

Divisors: 1 2 3 6 31 62 93 131 137 186 262 274 393 411 786 822 4061 4247 4327 8122 8494 8654 12183 12741 12981 17947 24366 25482 25962 35894 53841 107682 134137 268274 402411 556357 566837 592799 804822 1112714 1133674 1185598 1669071 1700511 1778397 3338142 3401022 3556794 17571947 18376769 35143894 36753538 52715841 55130307 77656669 105431682 110260614 155313338 232970007 465940014 2407356739 4814713478 7222070217 14444140434