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13446156141 = 3311169926647
BaseRepresentation
bin11001000010111010…
…00000111101101101
31021201002022111122000
430201131000331231
5210014203444031
610102125442513
7654131304255
oct144135007555
937632274560
1013446156141
115780006140
122733110439
131363953c12
14917b06965
1553a6d13e6
hex321740f6d

13446156141 has 32 divisors (see below), whose sum is σ = 21744768000. Its totient is φ = 8144083440.

The previous prime is 13446156133. The next prime is 13446156149. The reversal of 13446156141 is 14165164431.

13446156141 is a `hidden beast` number, since 1 + 3 + 4 + 461 + 56 + 141 = 666.

13446156141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13446156133) and next prime (13446156149).

It is not a de Polignac number, because 13446156141 - 23 = 13446156133 is a prime.

It is a super-3 number, since 3×134461561413 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 13446156096 and 13446156105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13446156149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 491280 + ... + 517926.

It is an arithmetic number, because the mean of its divisors is an integer number (679524000).

Almost surely, 213446156141 is an apocalyptic number.

13446156141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13446156141 is a deficient number, since it is larger than the sum of its proper divisors (8298611859).

13446156141 is a wasteful number, since it uses less digits than its factorization.

13446156141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28366 (or 28360 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The spelling of 13446156141 in words is "thirteen billion, four hundred forty-six million, one hundred fifty-six thousand, one hundred forty-one".

Divisors: 1 3 9 11 27 33 99 297 1699 5097 15291 18689 26647 45873 56067 79941 168201 239823 293117 504603 719469 879351 2638053 7914159 45273253 135819759 407459277 498005783 1222377831 1494017349 4482052047 13446156141