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13402414640021 = 119764319534741
BaseRepresentation
bin1100001100000111111000…
…1010011110101110010101
31202110020222022122022200012
43003001332022132232111
53224041121121440041
644300552334530005
72552202220532261
oct303017612365625
952406868568605
1013402414640021
1142a7a28733960
121605589666905
13762ac4639c24
14344974b790a1
151839630493eb
hexc307e29eb95

13402414640021 has 16 divisors (see below), whose sum is σ = 14794519645248. Its totient is φ = 12039650956800.

The previous prime is 13402414639981. The next prime is 13402414640059. The reversal of 13402414640021 is 12004641420431.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13402414640021 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13402414640021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13402414646021) 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 15 ways as a sum of consecutive naturals, for example, 9081290 + ... + 10453451.

It is an arithmetic number, because the mean of its divisors is an integer number (924657477828).

Almost surely, 213402414640021 is an apocalyptic number.

13402414640021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13402414640021 is a deficient number, since it is larger than the sum of its proper divisors (1392105005227).

13402414640021 is a wasteful number, since it uses less digits than its factorization.

13402414640021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19535492.

The product of its (nonzero) digits is 18432, while the sum is 32.

The spelling of 13402414640021 in words is "thirteen trillion, four hundred two billion, four hundred fourteen million, six hundred forty thousand, twenty-one".

Divisors: 1 11 97 643 1067 7073 62371 686081 19534741 214882151 1894869877 12560838463 20843568647 138169223093 1218401330911 13402414640021