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144371448072 = 23322005159001
BaseRepresentation
bin1000011001110100110…
…1010111100100001000
3111210122111100110011100
42012131031113210020
54331133042314242
6150153501101400
713300442026605
oct2063515274410
9453574313140
10144371448072
1156255a11845
1223b91857860
13107ca439167
146db80336ac
153b4e8ba54c
hex219d357908

144371448072 has 24 divisors (see below), whose sum is σ = 391006005390. Its totient is φ = 48123816000.

The previous prime is 144371448049. The next prime is 144371448083. The reversal of 144371448072 is 270844173441.

144371448072 is a `hidden beast` number, since 1 + 4 + 437 + 144 + 8 + 0 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 111453151716 + 32918296356 = 333846^2 + 181434^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 1002579429 + ... + 1002579572.

Almost surely, 2144371448072 is an apocalyptic number.

144371448072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144371448072 is an abundant number, since it is smaller than the sum of its proper divisors (246634557318).

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

144371448072 is a wasteful number, since it uses less digits than its factorization.

144371448072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2005159013 (or 2005159006 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 144371448072 in words is "one hundred forty-four billion, three hundred seventy-one million, four hundred forty-eight thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2005159001 4010318002 6015477003 8020636004 12030954006 16041272008 18046431009 24061908012 36092862018 48123816024 72185724036 144371448072