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2144456031 = 331113204059
BaseRepresentation
bin111111111010001…
…1100110101011111
312112110011122122110
41333310130311133
513342440043111
6552443045103
7104066401254
oct17764346537
95473148573
102144456031
11a00542613
124ba210793
132823849c3
14164b3d42b
15c83e95a6
hex7fd1cd5f

2144456031 has 16 divisors (see below), whose sum is σ = 2977643520. Its totient is φ = 1371269760.

The previous prime is 2144456029. The next prime is 2144456047. The reversal of 2144456031 is 1306544412.

It is not a de Polignac number, because 2144456031 - 21 = 2144456029 is a prime.

It is a super-3 number, since 3×21444560313 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 2144456031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144456021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91521 + ... + 112538.

It is an arithmetic number, because the mean of its divisors is an integer number (186102720).

Almost surely, 22144456031 is an apocalyptic number.

2144456031 is a deficient number, since it is larger than the sum of its proper divisors (833187489).

2144456031 is a wasteful number, since it uses less digits than its factorization.

2144456031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204206.

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 2144456031 is about 46308.2717341082. The cubic root of 2144456031 is about 1289.5525622085.

The spelling of 2144456031 in words is "two billion, one hundred forty-four million, four hundred fifty-six thousand, thirty-one".

Divisors: 1 3 31 93 113 339 3503 10509 204059 612177 6325829 18977487 23058667 69176001 714818677 2144456031