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334102004221314 = 237171191833926147
BaseRepresentation
bin100101111110111010010111…
…1010001111100010110000010
31121210221211200010021101022010
41023331310233101330112002
5322242411401040040224
63142324201501553350
7130242034056563640
oct11375645721742602
91553854603241263
10334102004221314
11975009563a839a
123157b259275856
13114568b7443aa4
145c708a241a190
152895b5e775e29
hex12fdd2f47c582

334102004221314 has 64 divisors (see below), whose sum is σ = 808589992144896. Its totient is φ = 89841779053824.

The previous prime is 334102004221273. The next prime is 334102004221343. The reversal of 334102004221314 is 413122400201433.

It is a super-2 number, since 2×3341020042213142 (a number of 30 digits) contains 22 as substring.

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, 83133589 + ... + 87059735.

It is an arithmetic number, because the mean of its divisors is an integer number (12634218627264).

Almost surely, 2334102004221314 is an apocalyptic number.

334102004221314 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

334102004221314 is an abundant number, since it is smaller than the sum of its proper divisors (474487987923582).

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

334102004221314 is a wasteful number, since it uses less digits than its factorization.

334102004221314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4045359.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 334102004221314 its reverse (413122400201433), we get a palindrome (747224404422747).

The spelling of 334102004221314 in words is "three hundred thirty-four trillion, one hundred two billion, four million, two hundred twenty-one thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 357 714 119183 238366 357549 715098 834281 1668562 2026111 2502843 3926147 4052222 5005686 6078333 7852294 11778441 12156666 14182777 23556882 27483029 28365554 42548331 54966058 66744499 82449087 85096662 133488998 164898174 200233497 400466994 467211493 934422986 1401634479 2803268958 467929977901 935859955802 1403789933703 2807579867406 3275509845307 6551019690614 7954809624317 9826529535921 15909619248634 19653059071842 23864428872951 47728857745902 55683667370219 111367334740438 167051002110657 334102004221314