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2144801928 = 233197516263
BaseRepresentation
bin111111111010111…
…0001010010001000
312112110211020010110
41333311301102020
513343032130203
6552454314320
7104102341563
oct17765612210
95473736113
102144801928
11a00759485
124ba3589a0
13282476289
14164bcd4da
15c8466d03
hex7fd71488

2144801928 has 64 divisors (see below), whose sum is σ = 5652633600. Its totient is φ = 676296000.

The previous prime is 2144801891. The next prime is 2144801959. The reversal of 2144801928 is 8291084412.

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 15 ways as a sum of consecutive naturals, for example, 339325 + ... + 345587.

It is an arithmetic number, because the mean of its divisors is an integer number (88322400).

Almost surely, 22144801928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2144801928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2826316800).

2144801928 is an abundant number, since it is smaller than the sum of its proper divisors (3507831672).

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

2144801928 is a wasteful number, since it uses less digits than its factorization.

2144801928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7042 (or 7038 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 2144801928 is about 46312.0063050609. The cubic root of 2144801928 is about 1289.6218926705.

The spelling of 2144801928 in words is "two billion, one hundred forty-four million, eight hundred one thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 751 1502 2253 3004 4506 6008 6263 9012 12526 14269 18024 18789 25052 28538 37578 42807 50104 57076 75156 85614 114152 118997 150312 171228 237994 342456 356991 475988 713982 951976 1427964 2855928 4703513 9407026 14110539 18814052 28221078 37628104 56442156 89366747 112884312 178733494 268100241 357466988 536200482 714933976 1072400964 2144801928