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3323314141014 = 2378912714714759
BaseRepresentation
bin110000010111000100111…
…101010111011101010110
3102202201001110212101020110
4300113010331113131112
5413422121410003024
611022413123343450
7462046552053150
oct60270475273526
912681043771213
103323314141014
11107145621520a
124580b7221b86
131b150582a10a
14b6bc653bad0
155b6a8ab6629
hex305c4f57756

3323314141014 has 128 divisors (see below), whose sum is σ = 7748871782400. Its totient is φ = 930628258560.

The previous prime is 3323314140997. The next prime is 3323314141067. The reversal of 3323314141014 is 4101414133233.

It is a super-2 number, since 2×33233141410142 (a number of 26 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 698319567 + ... + 698324325.

It is an arithmetic number, because the mean of its divisors is an integer number (60538060800).

Almost surely, 23323314141014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3323314141014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3874435891200).

3323314141014 is an abundant number, since it is smaller than the sum of its proper divisors (4425557641386).

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

3323314141014 is a wasteful number, since it uses less digits than its factorization.

3323314141014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6458.

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 3323314141014 its reverse (4101414133233), we get a palindrome (7424728274247).

The spelling of 3323314141014 in words is "three trillion, three hundred twenty-three billion, three hundred fourteen million, one hundred forty-one thousand, fourteen".

Divisors: 1 2 3 6 7 14 21 42 89 127 178 254 267 381 534 623 762 889 1246 1471 1778 1869 2667 2942 3738 4413 4759 5334 8826 9518 10297 11303 14277 20594 22606 28554 30891 33313 33909 61782 66626 67818 79121 99939 130919 158242 186817 199878 237363 261838 373634 392757 423551 474726 560451 604393 785514 847102 916433 1120902 1208786 1270653 1307719 1813179 1832866 2541306 2615438 2749299 2964857 3626358 3923157 4230751 5498598 5929714 7000489 7846314 8461502 8894571 12692253 14000978 16626713 17789142 21001467 25384506 33253426 42002934 49003423 49880139 53790977 98006846 99760278 107581954 116386991 147010269 161372931 232773982 294020538 322745862 349160973 376536839 623043521 698321946 753073678 889062103 1129610517 1246087042 1778124206 1869130563 2259221034 2667186309 3738261126 4361304647 5334372618 6223434721 8722609294 12446869442 13083913941 18670304163 26167827882 37340608326 79126527167 158253054334 237379581501 474759163002 553885690169 1107771380338 1661657070507 3323314141014