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144407335144 = 2331357670661
BaseRepresentation
bin1000011001111101011…
…0010001000011101000
3111210201222212200222011
42012133112101003220
54331221234211034
6150201222205304
713301356044622
oct2063726210350
9453658780864
10144407335144
11562741a3286
1223ba1883834
13108049c2907
146dbcad5c12
153b52b08864
hex219f5910e8

144407335144 has 16 divisors (see below), whose sum is σ = 271628818020. Its totient is φ = 71972983680.

The previous prime is 144407335139. The next prime is 144407335151. The reversal of 144407335144 is 441533704441.

It can be written as a sum of positive squares in 2 ways, for example, as 90054008100 + 54353327044 = 300090^2 + 233138^2 .

It is a junction number, because it is equal to n+sod(n) for n = 144407335097 and 144407335106.

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 3 ways as a sum of consecutive naturals, for example, 28832827 + ... + 28837834.

Almost surely, 2144407335144 is an apocalyptic number.

It is an amenable number.

144407335144 is a deficient number, since it is larger than the sum of its proper divisors (127221482876).

144407335144 is a wasteful number, since it uses less digits than its factorization.

144407335144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57670980 (or 57670976 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 40.

The spelling of 144407335144 in words is "one hundred forty-four billion, four hundred seven million, three hundred thirty-five thousand, one hundred forty-four".

Divisors: 1 2 4 8 313 626 1252 2504 57670661 115341322 230682644 461365288 18050916893 36101833786 72203667572 144407335144