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144491557806 = 2333772318097
BaseRepresentation
bin1000011010010001011…
…1100011001110101110
3111210221212100122202000
42012210113203032232
54331404314322211
6150213431313130
713303430656011
oct2064427431656
9453855318660
10144491557806
1156307798a92
1224005b1b7a6
13108192a0ccb
146dc9d7b378
153b5a1e3656
hex21a45e33ae

144491557806 has 32 divisors (see below), whose sum is σ = 329770526880. Its totient is φ = 46862126208.

The previous prime is 144491557741. The next prime is 144491557807. The reversal of 144491557806 is 608755194441.

144491557806 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 9 + 1 + 557 + 80 + 6 = 666.

144491557806 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144491557807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36157051 + ... + 36161046.

It is an arithmetic number, because the mean of its divisors is an integer number (10305328965).

Almost surely, 2144491557806 is an apocalyptic number.

144491557806 is an abundant number, since it is smaller than the sum of its proper divisors (185278969074).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144491557806 is a wasteful number, since it uses less digits than its factorization.

144491557806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72318145 (or 72318139 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 144491557806 in words is "one hundred forty-four billion, four hundred ninety-one million, five hundred fifty-seven thousand, eight hundred six".

Divisors: 1 2 3 6 9 18 27 37 54 74 111 222 333 666 999 1998 72318097 144636194 216954291 433908582 650862873 1301725746 1952588619 2675769589 3905177238 5351539178 8027308767 16054617534 24081926301 48163852602 72245778903 144491557806