Search a number
-
+
331024034134014 = 231379173310521539
BaseRepresentation
bin100101101000100001000100…
…1111101110111011111111110
31121102001120220002112021120220
41023101002021331313133332
5321341444210214242024
63132010201504522210
7126503461103533014
oct11321021175673776
91542046802467526
10331024034134014
1196524560543041
1231162813320366
13112925811ca770
145ba59121cc8b4
152840a64d83e79
hex12d1089f777fe

331024034134014 has 64 divisors (see below), whose sum is σ = 726173252582400. Its totient is φ = 99982966891392.

The previous prime is 331024034134009. The next prime is 331024034134081. The reversal of 331024034134014 is 410431430420133.

It is a super-2 number, since 2×3310240341340142 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154194744 + ... + 156326795.

It is an arithmetic number, because the mean of its divisors is an integer number (11346457071600).

Almost surely, 2331024034134014 is an apocalyptic number.

331024034134014 is an abundant number, since it is smaller than the sum of its proper divisors (395149218448386).

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

331024034134014 is a wasteful number, since it uses less digits than its factorization.

331024034134014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310521809.

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 331024034134014 its reverse (410431430420133), we get a palindrome (741455464554147).

The spelling of 331024034134014 in words is "three hundred thirty-one trillion, twenty-four billion, thirty-four million, one hundred thirty-four thousand, fourteen".

Divisors: 1 2 3 6 13 26 39 78 79 158 173 237 346 474 519 1027 1038 2054 2249 3081 4498 6162 6747 13494 13667 27334 41001 82002 177671 355342 533013 1066026 310521539 621043078 931564617 1863129234 4036780007 8073560014 12110340021 24220680042 24531201581 49062403162 53720226247 73593604743 107440452494 147187209486 161160678741 318905620553 322321357482 637811241106 698362941211 956716861659 1396725882422 1913433723318 2095088823633 4190177647266 4243897873513 8487795747026 12731693620539 25463387241078 55170672355669 110341344711338 165512017067007 331024034134014