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14021340140133 = 35312397787959
BaseRepresentation
bin1100110000001001100011…
…1111111001001001100101
31211122102112022011101200000
43030002120333321021211
53314211201033441013
645453151552211513
72645002610505414
oct314023077711145
954572468141600
1014021340140133
114516464a78837
1216a551a539b99
137a928c17c0c1
143668ca72347b
15194ad9637973
hexcc098ff9265

14021340140133 has 48 divisors (see below), whose sum is σ = 21771397939200. Its totient is φ = 9008175259440.

The previous prime is 14021340140107. The next prime is 14021340140141. The reversal of 14021340140133 is 33104104312041.

14021340140133 is a `hidden beast` number, since 1 + 4 + 0 + 213 + 40 + 1 + 401 + 3 + 3 = 666.

14021340140133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14021340140133 - 240 = 12921828512357 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 14021340140097 and 14021340140106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14021340140173) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2093593 + ... + 5694366.

It is an arithmetic number, because the mean of its divisors is an integer number (453570790400).

Almost surely, 214021340140133 is an apocalyptic number.

It is an amenable number.

14021340140133 is a deficient number, since it is larger than the sum of its proper divisors (7750057799067).

14021340140133 is an equidigital number, since it uses as much as digits as its factorization.

14021340140133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7788244 (or 7788232 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 14021340140133 its reverse (33104104312041), we get a palindrome (47125444452174).

The spelling of 14021340140133 in words is "fourteen trillion, twenty-one billion, three hundred forty million, one hundred forty thousand, one hundred thirty-three".

Divisors: 1 3 9 27 31 81 93 239 243 279 717 837 2151 2511 6453 7409 7533 19359 22227 58077 66681 200043 600129 1800387 7787959 23363877 70091631 210274893 241426729 630824679 724280187 1861322201 1892474037 2172840561 5583966603 6518521683 16751899809 19555565049 50255699427 57700988231 58666695147 150767098281 173102964693 452301294843 519308894079 1557926682237 4673780046711 14021340140133