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14434040400213 = 3712721432525473
BaseRepresentation
bin1101001000001010111111…
…0110011100100101010101
31220002212210002111211020210
43102002233312130211111
53342441403320301323
650410523455120033
73016552656026640
oct322025766344525
956085702454223
1014434040400213
114665495569545
1217514b6b13019
1380917ca52825
1437c87b508a57
151a06e0ec6293
hexd20afd9c955

14434040400213 has 32 divisors (see below), whose sum is σ = 22178268184576. Its totient is φ = 8179256268288.

The previous prime is 14434040400193. The next prime is 14434040400223. The reversal of 14434040400213 is 31200404043441.

It is not a de Polignac number, because 14434040400213 - 210 = 14434040399189 is a prime.

It is a super-2 number, since 2×144340404002132 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14434040400223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4452645 + ... + 6978117.

It is an arithmetic number, because the mean of its divisors is an integer number (693070880768).

Almost surely, 214434040400213 is an apocalyptic number.

It is an amenable number.

14434040400213 is a deficient number, since it is larger than the sum of its proper divisors (7744227784363).

14434040400213 is a wasteful number, since it uses less digits than its factorization.

14434040400213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2527753.

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 14434040400213 its reverse (31200404043441), we get a palindrome (45634444443654).

The spelling of 14434040400213 in words is "fourteen trillion, four hundred thirty-four billion, forty million, four hundred thousand, two hundred thirteen".

Divisors: 1 3 7 21 127 381 889 2143 2667 6429 15001 45003 272161 816483 1905127 2525473 5715381 7576419 17678311 53034933 320735071 962205213 2245145497 5412088639 6735436491 16236265917 37884620473 113653861419 687335257153 2062005771459 4811346800071 14434040400213