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3340342141312 = 27114231560719
BaseRepresentation
bin110000100110111011111…
…010000010000110000000
3102211100000012001102100011
4300212323322002012000
5414212010042010222
611034310524434304
7463221535503661
oct60467372020600
912740005042304
103340342141312
1110786a4068930
1245b4699a8994
131b2cba575237
14b795dc29368
155bd5396ec77
hex309bbe82180

3340342141312 has 64 divisors (see below), whose sum is σ = 7261279142400. Its totient is φ = 1517975769600.

The previous prime is 3340342141291. The next prime is 3340342141319. The reversal of 3340342141312 is 2131412430433.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×33403421413122 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3340342141319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5676889 + ... + 6237607.

It is an arithmetic number, because the mean of its divisors is an integer number (113457486600).

Almost surely, 23340342141312 is an apocalyptic number.

3340342141312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3340342141312 is an abundant number, since it is smaller than the sum of its proper divisors (3920937001088).

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

3340342141312 is a wasteful number, since it uses less digits than its factorization.

3340342141312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564975 (or 564963 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 3340342141312 its reverse (2131412430433), we get a palindrome (5471754571745).

The spelling of 3340342141312 in words is "three trillion, three hundred forty billion, three hundred forty-two million, one hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 4231 8462 16924 33848 46541 67696 93082 135392 186164 270784 372328 541568 560719 744656 1121438 1489312 2242876 2978624 4485752 5957248 6167909 8971504 12335818 17943008 24671636 35886016 49343272 71772032 98686544 197373088 394746176 789492352 2372402089 4744804178 9489608356 18979216712 26096422979 37958433424 52192845958 75916866848 104385691916 151833733696 208771383832 303667467392 417542767664 835085535328 1670171070656 3340342141312