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2144279256 = 233729676569
BaseRepresentation
bin111111111001111…
…0001101011011000
312112102211200011020
41333303301223120
513342413414011
6552435202440
7104065034010
oct17763615330
95472750136
102144279256
11a00431819
124ba146420
132823223c2
14164ad4c40
15c83b2006
hex7fcf1ad8

2144279256 has 128 divisors (see below), whose sum is σ = 6433344000. Its totient is φ = 582607872.

The previous prime is 2144279231. The next prime is 2144279281. The reversal of 2144279256 is 6529724412.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2144279231) and next prime (2144279281).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 323140 + ... + 329708.

It is an arithmetic number, because the mean of its divisors is an integer number (50260500).

Almost surely, 22144279256 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 2144279256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3216672000).

2144279256 is an abundant number, since it is smaller than the sum of its proper divisors (4289064744).

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

2144279256 is a wasteful number, since it uses less digits than its factorization.

2144279256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6681 (or 6677 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 2144279256 is about 46306.3630184881. The cubic root of 2144279256 is about 1289.5171271276.

The spelling of 2144279256 in words is "two billion, one hundred forty-four million, two hundred seventy-nine thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 67 84 87 116 134 168 174 201 203 232 268 348 402 406 469 536 609 696 804 812 938 1218 1407 1608 1624 1876 1943 2436 2814 3752 3886 4872 5628 5829 6569 7772 11256 11658 13138 13601 15544 19707 23316 26276 27202 39414 40803 45983 46632 52552 54404 78828 81606 91966 108808 137949 157656 163212 183932 190501 275898 326424 367864 381002 440123 551796 571503 762004 880246 1103592 1143006 1320369 1333507 1524008 1760492 2286012 2640738 2667014 3080861 3520984 4000521 4572024 5281476 5334028 6161722 8001042 9242583 10562952 10668056 12323444 12763567 16002084 18485166 24646888 25527134 32004168 36970332 38290701 51054268 73940664 76581402 89344969 102108536 153162804 178689938 268034907 306325608 357379876 536069814 714759752 1072139628 2144279256