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14004302111440 = 245296036337117
BaseRepresentation
bin1100101111001010000101…
…1100111110001011010000
31211120210112220002212012021
43023302201130332023100
53313421302320031230
645441253152141224
72643530442606364
oct313624134761320
954523486085167
1014004302111440
11450a2114a5693
1216a2164537814
137a77a5332514
14365b519852a4
1519443d94cc7a
hexcbca173e2d0

14004302111440 has 40 divisors (see below), whose sum is σ = 33682761118440. Its totient is φ = 5408558055936.

The previous prime is 14004302111399. The next prime is 14004302111467. The reversal of 14004302111440 is 4411120340041.

14004302111440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1661221965456 + 12343080145984 = 1288884^2 + 3513272^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×140043021114402 (a number of 27 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 7 ways as a sum of consecutive naturals, for example, 3018166239 + ... + 3018170878.

It is an arithmetic number, because the mean of its divisors is an integer number (842069027961).

Almost surely, 214004302111440 is an apocalyptic number.

14004302111440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14004302111440 is an abundant number, since it is smaller than the sum of its proper divisors (19678459007000).

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

14004302111440 is a wasteful number, since it uses less digits than its factorization.

14004302111440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6036337159 (or 6036337153 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 14004302111440 its reverse (4411120340041), we get a palindrome (18415422451481).

The spelling of 14004302111440 in words is "fourteen trillion, four billion, three hundred two million, one hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 6036337117 12072674234 24145348468 30181685585 48290696936 60363371170 96581393872 120726742340 175053776393 241453484680 350107552786 482906969360 700215105572 875268881965 1400430211144 1750537763930 2800860422288 3501075527860 7002151055720 14004302111440