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14234010124240 = 245414339637233
BaseRepresentation
bin1100111100100001110100…
…0111011111111111010000
31212101202110122020221221001
43033020131013133333100
53331202223042433430
650135003004111344
72666242016524534
oct317103507377720
955352418227831
1014234010124240
1145986786a9585
12171a791235554
137c3352392b9a
14372d033c5bc4
1519a3d50713ca
hexcf21d1dffd0

14234010124240 has 40 divisors (see below), whose sum is σ = 33901246072008. Its totient is φ = 5554735656960.

The previous prime is 14234010124219. The next prime is 14234010124261. The reversal of 14234010124240 is 4242101043241.

It is an interprime number because it is at equal distance from previous prime (14234010124219) and next prime (14234010124261).

It can be written as a sum of positive squares in 4 ways, for example, as 640749019024 + 13593261105216 = 800468^2 + 3686904^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 14234010124199 and 14234010124208.

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, 2169815337 + ... + 2169821896.

Almost surely, 214234010124240 is an apocalyptic number.

14234010124240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14234010124240 is an abundant number, since it is smaller than the sum of its proper divisors (19667235947768).

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

14234010124240 is a wasteful number, since it uses less digits than its factorization.

14234010124240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4339637287 (or 4339637281 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 14234010124240 its reverse (4242101043241), we get a palindrome (18476111167481).

The spelling of 14234010124240 in words is "fourteen trillion, two hundred thirty-four billion, ten million, one hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 4339637233 8679274466 17358548932 21698186165 34717097864 43396372330 69434195728 86792744660 173585489320 177925126553 347170978640 355850253106 711700506212 889625632765 1423401012424 1779251265530 2846802024848 3558502531060 7117005062120 14234010124240