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14345013034350 = 235521180659509
BaseRepresentation
bin1101000010111111010101…
…1001111111110101101110
31212210100222121211001100000
43100233311121333311232
53340012041314044400
650302001421445130
73010251536636265
oct320576531776556
955710877731300
1014345013034350
11463075a97a919
1217381aba107a6
138009625a870b
143784338735dc
1519d230222600
hexd0bf567fd6e

14345013034350 has 72 divisors (see below), whose sum is σ = 39967685732520. Its totient is φ = 3825336805920.

The previous prime is 14345013034349. The next prime is 14345013034351. The reversal of 14345013034350 is 5343031054341.

14345013034350 is a `hidden beast` number, since 1 + 4 + 34 + 501 + 30 + 3 + 43 + 50 = 666.

It is an interprime number because it is at equal distance from previous prime (14345013034349) and next prime (14345013034351).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14345013034351) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 590317605 + ... + 590341904.

It is an arithmetic number, because the mean of its divisors is an integer number (555106746285).

Almost surely, 214345013034350 is an apocalyptic number.

14345013034350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14345013034350 is an abundant number, since it is smaller than the sum of its proper divisors (25622672698170).

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

14345013034350 is a wasteful number, since it uses less digits than its factorization.

14345013034350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180659536 (or 1180659519 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 14345013034350 its reverse (5343031054341), we get a palindrome (19688044088691).

The spelling of 14345013034350 in words is "fourteen trillion, three hundred forty-five billion, thirteen million, thirty-four thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 243 270 405 450 486 675 810 1215 1350 2025 2430 4050 6075 12150 1180659509 2361319018 3541978527 5903297545 7083957054 10625935581 11806595090 17709892635 21251871162 29516487725 31877806743 35419785270 53129677905 59032975450 63755613486 88549463175 95633420229 106259355810 159389033715 177098926350 191266840458 265648389525 286900260687 318778067430 478167101145 531296779050 573800521374 796945168575 956334202290 1434501303435 1593890337150 2390835505725 2869002606870 4781671011450 7172506517175 14345013034350