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334214001101234 = 217503143316698171
BaseRepresentation
bin100101111111101110100001…
…0110100001000100110110010
31121211100112202101011100221202
41023333131002310020212302
5322301230233240214414
63142451443103451202
7130253110336422512
oct11377350264104662
91554315671140852
10334214001101234
11975443a8753991
1231598ab48b6b02
1311464325564b37
145c760888c5842
152898a16d169de
hex12ff742d089b2

334214001101234 has 64 divisors (see below), whose sum is σ = 532620989026560. Its totient is φ = 156741796669440.

The previous prime is 334214001101213. The next prime is 334214001101303. The reversal of 334214001101234 is 432101100412433.

It is a super-3 number, since 3×3342140011012343 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 334214001101197 and 334214001101206.

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, 40902455969 + ... + 40902464139.

It is an arithmetic number, because the mean of its divisors is an integer number (8322202953540).

Almost surely, 2334214001101234 is an apocalyptic number.

334214001101234 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

334214001101234 is a deficient number, since it is larger than the sum of its proper divisors (198406987925326).

334214001101234 is a wasteful number, since it uses less digits than its factorization.

334214001101234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11795.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 334214001101234 its reverse (432101100412433), we get a palindrome (766315101513667).

The spelling of 334214001101234 in words is "three hundred thirty-four trillion, two hundred fourteen billion, one million, one hundred one thousand, two hundred thirty-four".

Divisors: 1 2 17 34 503 1006 1433 1669 2866 3338 8171 8551 16342 17102 24361 28373 48722 56746 138907 277814 720799 839507 1441598 1679014 2391677 4110013 4783354 8220026 11709043 12253583 13637399 14271619 23418086 24507166 27274798 28543238 40658509 69870221 81317018 139740442 199053731 231835783 398107462 463671566 1203013531 2406027062 5889648629 6859611697 11779297258 13719223394 19542392767 20451230027 39084785534 40902460054 100124026693 116613398849 200248053386 233226797698 332220677039 664441354078 9829823561801 19659647123602 167107000550617 334214001101234