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330242144200014 = 23718329331876981
BaseRepresentation
bin100101100010110100111110…
…1101100011110010101001110
31121022021211200211200012210110
41023011221331230132111032
5321241141402403400024
63130211051402020450
7126363131123001144
oct11305517554362516
91538254624605713
10330242144200014
11962529a8007a42
1231057181aa7726
131123691520aa97
145b79b3b145594
15282a55193c629
hex12c5a7db1e54e

330242144200014 has 64 divisors (see below), whose sum is σ = 680170130615808. Its totient is φ = 106856737276800.

The previous prime is 330242144199949. The next prime is 330242144200021. The reversal of 330242144200014 is 410002441242033.

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, 5578597 + ... + 26298384.

It is an arithmetic number, because the mean of its divisors is an integer number (10627658290872).

Almost surely, 2330242144200014 is an apocalyptic number.

330242144200014 is an abundant number, since it is smaller than the sum of its proper divisors (349927986415794).

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

330242144200014 is a wasteful number, since it uses less digits than its factorization.

330242144200014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31877433.

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 330242144200014 its reverse (410002441242033), we get a palindrome (740244585442047).

The spelling of 330242144200014 in words is "three hundred thirty trillion, two hundred forty-two billion, one hundred forty-four million, two hundred thousand, fourteen".

Divisors: 1 2 3 6 71 83 142 166 213 249 293 426 498 586 879 1758 5893 11786 17679 20803 24319 35358 41606 48638 62409 72957 124818 145914 1726649 3453298 5179947 10359894 31876981 63753962 95630943 191261886 2263265651 2645789423 4526531302 5291578846 6789796953 7937368269 9339955433 13579593906 15874736538 18679910866 28019866299 56039732598 187851049033 375702098066 563553147099 663136835743 775216300939 1127106294198 1326273671486 1550432601878 1989410507229 2325648902817 3978821014458 4651297805634 55040357366669 110080714733338 165121072100007 330242144200014