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14434142331414 = 23131572101356093
BaseRepresentation
bin1101001000001011010111…
…1011010010001000010110
31220002220001012022110120110
43102002311323102020112
53342442110414101124
650410541535543450
73016555334314311
oct322026573221026
956086035273513
1014434142331414
114665538059a03
12175152508ab86
13809197bc1350
1437c88ac7d978
151a06e9e0d029
hexd20b5ed2216

14434142331414 has 64 divisors (see below), whose sum is σ = 31288987283904. Its totient is φ = 4412697509376.

The previous prime is 14434142331311. The next prime is 14434142331443. The reversal of 14434142331414 is 41413324143441.

It is a super-2 number, since 2×144341423314142 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257297152 + ... + 257353244.

It is an arithmetic number, because the mean of its divisors is an integer number (488890426311).

Almost surely, 214434142331414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14434142331414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15644493641952).

14434142331414 is an abundant number, since it is smaller than the sum of its proper divisors (16854844952490).

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

14434142331414 is a wasteful number, since it uses less digits than its factorization.

14434142331414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77281.

The product of its digits is 221184, while the sum is 39.

Adding to 14434142331414 its reverse (41413324143441), we get a palindrome (55847466474855).

The spelling of 14434142331414 in words is "fourteen trillion, four hundred thirty-four billion, one hundred forty-two million, three hundred thirty-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 13 26 39 78 157 314 471 942 2041 4082 6123 12246 21013 42026 56093 63039 112186 126078 168279 273169 336558 546338 729209 819507 1458418 1639014 2187627 3299041 4375254 6598082 8806601 9897123 17613202 19794246 26419803 42887533 52839606 85775066 114485813 128662599 228971626 257325198 343457439 686914878 1178682209 2357364418 3536046627 7072093254 15322868717 30645737434 45968606151 91937212302 185053106813 370106213626 555159320439 1110318640878 2405690388569 4811380777138 7217071165707 14434142331414