Search a number
-
+
444315353224414 = 27274315673894103
BaseRepresentation
bin110010100000110100011101…
…0110011000001010011011110
32011021012010120220121110121211
41211001220322303001103132
5431214130320411140124
64212551353323215034
7162405503440131100
oct14501507263012336
92137163526543554
10444315353224414
111196330a0688351
12419bb36097747a
13160bc9b15005c9
147ba0d99295570
1536579de2ece94
hex1941a3acc14de

444315353224414 has 48 divisors (see below), whose sum is σ = 776824028080128. Its totient is φ = 190043174544048.

The previous prime is 444315353224397. The next prime is 444315353224453. The reversal of 444315353224414 is 414422353513444.

It is a super-2 number, since 2×4443153532244142 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112152487 + ... + 116046589.

It is an arithmetic number, because the mean of its divisors is an integer number (16183833918336).

Almost surely, 2444315353224414 is an apocalyptic number.

444315353224414 is a deficient number, since it is larger than the sum of its proper divisors (332508674855714).

444315353224414 is a wasteful number, since it uses less digits than its factorization.

444315353224414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3896429 (or 3896422 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 49.

The spelling of 444315353224414 in words is "four hundred forty-four trillion, three hundred fifteen billion, three hundred fifty-three million, two hundred twenty-four thousand, four hundred fourteen".

Divisors: 1 2 7 14 49 98 743 1486 1567 3134 5201 10402 10969 21938 36407 72814 76783 153566 1164281 2328562 3894103 7788206 8149967 16299934 27258721 54517442 57049769 114099538 190811047 381622094 2893318529 5786637058 6102059401 12204118802 20253229703 40506459406 42714415807 85428831614 141772607921 283545215842 299000910649 598001821298 4533830134943 9067660269886 31736810944601 63473621889202 222157676612207 444315353224414