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3314113035354 = 23211671072334767
BaseRepresentation
bin110000001110100000100…
…001111011110001011010
3102201211022020100210010100
4300032200201323301122
5413244300414112404
611014252120000230
7461302545001212
oct60164041736132
912654266323110
103314113035354
111068564456360
12456369900076
131b069a4c64b4
14b6592537242
155b31ae12d39
hex303a087bc5a

3314113035354 has 96 divisors (see below), whose sum is σ = 8024578937856. Its totient is φ = 980041376160.

The previous prime is 3314113035347. The next prime is 3314113035367. The reversal of 3314113035354 is 4535303114133.

It is a happy number.

3314113035354 is a `hidden beast` number, since 3 + 3 + 1 + 4 + 113 + 0 + 3 + 535 + 4 = 666.

It is a super-2 number, since 2×33141130353542 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 252079 + ... + 2586845.

It is an arithmetic number, because the mean of its divisors is an integer number (83589363936).

Almost surely, 23314113035354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3314113035354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4012289468928).

3314113035354 is an abundant number, since it is smaller than the sum of its proper divisors (4710465902502).

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

3314113035354 is a wasteful number, since it uses less digits than its factorization.

3314113035354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2334960 (or 2334957 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

Adding to 3314113035354 its reverse (4535303114133), we get a palindrome (7849416149487).

The spelling of 3314113035354 in words is "three trillion, three hundred fourteen billion, one hundred thirteen million, thirty-five thousand, three hundred fifty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 67 99 107 134 198 201 214 321 402 603 642 737 963 1177 1206 1474 1926 2211 2354 3531 4422 6633 7062 7169 10593 13266 14338 21186 21507 43014 64521 78859 129042 157718 236577 473154 709731 1419462 2334767 4669534 7004301 14008602 21012903 25682437 42025806 51364874 77047311 154094622 156429389 231141933 249820069 312858778 462283866 469288167 499640138 749460207 938576334 1407864501 1498920414 1720723279 2248380621 2748020759 2815729002 3441446558 4496761242 5162169837 5496041518 8244062277 10324339674 15486509511 16488124554 16737944623 24732186831 30973019022 33475889246 49464373662 50213833869 100427667738 150641501607 184117390853 301283003214 368234781706 552352172559 1104704345118 1657056517677 3314113035354