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314402313040332 = 2231117713134468227
BaseRepresentation
bin100011101111100100111111…
…0001011110111000111001100
31112020012120022202211112102220
41013133021332023313013030
5312202131414114242312
63032402232332015340
7123136550260434366
oct10737117613670714
91466176282745386
10314402313040332
11911a62aa294990
122b319336601550
131065801ac568ca
14578d22032bd36
1526534d4250c8c
hex11df27e2f71cc

314402313040332 has 48 divisors (see below), whose sum is σ = 800341984106112. Its totient is φ = 95268048756480.

The previous prime is 314402313040279. The next prime is 314402313040351. The reversal of 314402313040332 is 233040313204413.

It is a happy number.

It is a super-2 number, since 2×3144023130403322 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 314402313040293 and 314402313040302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64895998 + ... + 69572229.

It is an arithmetic number, because the mean of its divisors is an integer number (16673791335544).

Almost surely, 2314402313040332 is an apocalyptic number.

It is an amenable number.

314402313040332 is an abundant number, since it is smaller than the sum of its proper divisors (485939671065780).

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

314402313040332 is a wasteful number, since it uses less digits than its factorization.

314402313040332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134485958 (or 134485956 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 33.

Adding to 314402313040332 its reverse (233040313204413), we get a palindrome (547442626244745).

The spelling of 314402313040332 in words is "three hundred fourteen trillion, four hundred two billion, three hundred thirteen million, forty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 17713 35426 53139 70852 106278 194843 212556 389686 584529 779372 1169058 2338116 134468227 268936454 403404681 537872908 806809362 1479150497 1613618724 2958300994 4437451491 5916601988 8874902982 17749805964 2381835704851 4763671409702 7145507114553 9527342819404 14291014229106 26200192753361 28582028458212 52400385506722 78600578260083 104800771013444 157201156520166 314402313040332