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201446402105 = 51324014331373
BaseRepresentation
bin1011101110011100100…
…1000010100000111001
3201020222010221112011202
42323213021002200321
511300030234331410
6232313155303545
720361013110524
oct2734711024071
9636863845152
10201446402105
1178484273543
123305bbaabb5
1315cc4b96500
149a70231bbb
155390432ca5
hex2ee7242839

201446402105 has 48 divisors (see below), whose sum is σ = 263211497136. Its totient is φ = 147938918400.

The previous prime is 201446402063. The next prime is 201446402117. The reversal of 201446402105 is 501204644102.

It can be written as a sum of positive squares in 24 ways, for example, as 101142444841 + 100303957264 = 318029^2 + 316708^2 .

It is not a de Polignac number, because 201446402105 - 26 = 201446402041 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146719199 + ... + 146720571.

It is an arithmetic number, because the mean of its divisors is an integer number (5483572857).

Almost surely, 2201446402105 is an apocalyptic number.

It is an amenable number.

201446402105 is a deficient number, since it is larger than the sum of its proper divisors (61765095031).

201446402105 is a wasteful number, since it uses less digits than its factorization.

201446402105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2238 (or 2225 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The spelling of 201446402105 in words is "two hundred one billion, four hundred forty-six million, four hundred two thousand, one hundred five".

Divisors: 1 5 13 65 169 401 433 845 1373 2005 2165 5213 5629 6865 17849 26065 28145 67769 73177 89245 173633 232037 338845 365885 550573 594509 868165 1160185 2257229 2752865 2972545 7157449 7728617 11286145 29343977 35787245 38643085 93046837 100472021 146719885 238398109 465234185 502360105 1191990545 3099175417 15495877085 40289280421 201446402105