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334142223135 = 3572326015703
BaseRepresentation
bin1001101110011000110…
…11011011001100011111
31011221110221112200000220
410313030123123030133
520433310402120020
6413300335252423
733066233014440
oct4671433331437
91157427480026
10334142223135
11119788634936
125491367a113
13256814205c6
141225b7632c7
158a59ca3240
hex4dcc6db31f

334142223135 has 48 divisors (see below), whose sum is σ = 638723387904. Its totient is φ = 146109370176.

The previous prime is 334142223097. The next prime is 334142223179. The reversal of 334142223135 is 531322241433.

It is not a de Polignac number, because 334142223135 - 27 = 334142223007 is a prime.

It is a super-2 number, since 2×3341422231352 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334142223096 and 334142223105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2952307 + ... + 3063396.

It is an arithmetic number, because the mean of its divisors is an integer number (13306737248).

Almost surely, 2334142223135 is an apocalyptic number.

334142223135 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

334142223135 is a deficient number, since it is larger than the sum of its proper divisors (304581164769).

334142223135 is a wasteful number, since it uses less digits than its factorization.

334142223135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6015764 (or 6015741 counting only the distinct ones).

The product of its digits is 51840, while the sum is 33.

Adding to 334142223135 its reverse (531322241433), we get a palindrome (865464464568).

The spelling of 334142223135 in words is "three hundred thirty-four billion, one hundred forty-two million, two hundred twenty-three thousand, one hundred thirty-five".

Divisors: 1 3 5 7 15 21 23 35 69 105 115 161 345 483 529 805 1587 2415 2645 3703 7935 11109 18515 55545 6015703 18047109 30078515 42109921 90235545 126329763 138361169 210549605 415083507 631648815 691805845 968528183 2075417535 2905584549 3182306887 4842640915 9546920661 14527922745 15911534435 22276148209 47734603305 66828444627 111380741045 334142223135