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334142105325 = 35275357121031
BaseRepresentation
bin1001101110011000110…
…10111110011011101101
31011221110221022200102120
410313030122332123231
520433310334332300
6413300332543153
733066232014120
oct4671432763355
91157427280376
10334142105325
11119788564376
1254913621ab9
13256813abab2
141225b7323b7
158a59c7d3a0
hex4dcc6be6ed

334142105325 has 96 divisors (see below), whose sum is σ = 644439324672. Its totient is φ = 149599008000.

The previous prime is 334142105287. The next prime is 334142105351. The reversal of 334142105325 is 523501241433.

It is not a de Polignac number, because 334142105325 - 26 = 334142105261 is a prime.

It is a super-2 number, since 2×3341421053252 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15877560 + ... + 15898590.

It is an arithmetic number, because the mean of its divisors is an integer number (6712909632).

Almost surely, 2334142105325 is an apocalyptic number.

334142105325 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

334142105325 is a deficient number, since it is larger than the sum of its proper divisors (310297219347).

334142105325 is a wasteful number, since it uses less digits than its factorization.

334142105325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21675 (or 21670 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

Adding to 334142105325 its reverse (523501241433), we get a palindrome (857643346758).

The spelling of 334142105325 in words is "three hundred thirty-four billion, one hundred forty-two million, one hundred five thousand, three hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 53 75 105 159 175 265 371 525 571 795 1113 1325 1713 1855 2855 3975 3997 5565 8565 9275 11991 14275 19985 21031 27825 30263 42825 59955 63093 90789 99925 105155 147217 151315 211841 299775 315465 441651 453945 525775 635523 736085 756575 1059205 1114643 1577325 2208255 2269725 3177615 3343929 3680425 5296025 5573215 7802501 11041275 12008701 15888075 16719645 23407503 27866075 36026103 39012505 60043505 83598225 84060907 117037515 180130515 195062525 252182721 300217525 420304535 585187575 636461153 900652575 1260913605 1909383459 2101522675 3182305765 4455228071 6304568025 9546917295 13365684213 15911528825 22276140355 47734586475 66828421065 111380701775 334142105325