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2144242926 = 2327167181563
BaseRepresentation
bin111111111001110…
…1000110011101110
312112102202211022200
41333303220303232
513342411233201
6552434322330
7104064523050
oct17763506356
95472684280
102144242926
11a004074a1
124ba1293a6
1328230b9c7
14164ac58d0
15c83a6386
hex7fce8cee

2144242926 has 96 divisors (see below), whose sum is σ = 5380397568. Its totient is φ = 604532160.

The previous prime is 2144242921. The next prime is 2144242927. The reversal of 2144242926 is 6292424412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144242921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3808321 + ... + 3808883.

It is an arithmetic number, because the mean of its divisors is an integer number (56045808).

Almost surely, 22144242926 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2144242926, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2690198784).

2144242926 is an abundant number, since it is smaller than the sum of its proper divisors (3236154642).

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

2144242926 is a wasteful number, since it uses less digits than its factorization.

2144242926 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 923 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 2144242926 is about 46305.9707381240. The cubic root of 2144242926 is about 1289.5098444285.

The spelling of 2144242926 in words is "two billion, one hundred forty-four million, two hundred forty-two thousand, nine hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 167 181 334 362 501 543 563 1002 1086 1126 1169 1267 1503 1629 1689 2338 2534 3006 3258 3378 3507 3801 3941 5067 7014 7602 7882 10134 10521 11403 11823 21042 22806 23646 30227 35469 60454 70938 90681 94021 101903 181362 188042 203806 211589 272043 282063 305709 423178 544086 564126 611418 634767 658147 713321 846189 917127 1269534 1316294 1426642 1692378 1834254 1904301 1974441 2139963 3808602 3948882 4279926 5923323 6419889 11846646 12839778 17017801 34035602 51053403 102106806 119124607 153160209 238249214 306320418 357373821 714747642 1072121463 2144242926