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1429305920161 = 71737332201003
BaseRepresentation
bin10100110011001001010…
…001011000101010100001
312001122021210020210022021
4110303021101120222201
5141404204303421121
63012340350141441
7205156350602350
oct24631121305241
95048253223267
101429305920161
1150118aa25919
121b10137b1881
13a4a24253432
144d2707bb997
15272a5d85641
hex14cc9458aa1

1429305920161 has 16 divisors (see below), whose sum is σ = 1734217271424. Its totient is φ = 1149962183424.

The previous prime is 1429305920143. The next prime is 1429305920183. The reversal of 1429305920161 is 1610295039241.

It is a cyclic number.

It is not a de Polignac number, because 1429305920161 - 27 = 1429305920033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1429305920191) 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 15 ways as a sum of consecutive naturals, for example, 16056115 + ... + 16144888.

It is an arithmetic number, because the mean of its divisors is an integer number (108388579464).

Almost surely, 21429305920161 is an apocalyptic number.

It is an amenable number.

1429305920161 is a deficient number, since it is larger than the sum of its proper divisors (304911351263).

1429305920161 is a wasteful number, since it uses less digits than its factorization.

1429305920161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32201400.

The product of its (nonzero) digits is 116640, while the sum is 43.

The spelling of 1429305920161 in words is "one trillion, four hundred twenty-nine billion, three hundred five million, nine hundred twenty thousand, one hundred sixty-one".

Divisors: 1 7 17 119 373 2611 6341 44387 32201003 225407021 547417051 3831919357 12010974119 84076818833 204186560023 1429305920161