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14242331333334 = 23131311419798179
BaseRepresentation
bin1100111101000000110100…
…0110011001001011010110
31212102112221120002011212110
43033100031012121023112
53331321243310131314
650142500420331450
72666655150610416
oct317201506311326
955375846064773
1014242331333334
1145a1158817095
121720313b43b86
137c407a31b650
143734925c4646
1519a720869a59
hexcf40d1992d6

14242331333334 has 64 divisors (see below), whose sum is σ = 30912448976640. Its totient is φ = 4348452850560.

The previous prime is 14242331333333. The next prime is 14242331333339. The reversal of 14242331333334 is 43333313324241.

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

It is a junction number, because it is equal to n+sod(n) for n = 14242331333292 and 14242331333301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14242331333333) 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, 145015857 + ... + 145114035.

It is an arithmetic number, because the mean of its divisors is an integer number (483007015260).

Almost surely, 214242331333334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14242331333334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15456224488320).

14242331333334 is an abundant number, since it is smaller than the sum of its proper divisors (16670117643306).

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

14242331333334 is a wasteful number, since it uses less digits than its factorization.

14242331333334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112525.

The product of its digits is 559872, while the sum is 39.

Adding to 14242331333334 its reverse (43333313324241), we get a palindrome (57575644657575).

The spelling of 14242331333334 in words is "fourteen trillion, two hundred forty-two billion, three hundred thirty-one million, three hundred thirty-three thousand, three hundred thirty-four".

Divisors: 1 2 3 6 13 26 39 78 131 262 393 786 1703 3406 5109 10218 14197 28394 42591 85182 98179 184561 196358 294537 369122 553683 589074 1107366 1276327 1859807 2552654 3719614 3828981 5579421 7657962 11158842 12861449 24177491 25722898 38584347 48354982 72532473 77168694 145064946 167198837 334397674 501596511 1003193022 1393847263 2787694526 4181541789 8363083578 18120014419 36240028838 54360043257 108720086514 182593991453 365187982906 547781974359 1095563948718 2373721888889 4747443777778 7121165666667 14242331333334