Search a number
-
+
1143440676 = 2232722328183
BaseRepresentation
bin100010000100111…
…1000010100100100
32221200120210201200
41010021320110210
54320210100201
6305243522500
740223041200
oct10411702444
92850523650
101143440676
115374959a4
1227ab29430
13152b80621
14abc09b00
156a5b7386
hex44278524

1143440676 has 108 divisors (see below), whose sum is σ = 3508569792. Its totient is φ = 312482016.

The previous prime is 1143440651. The next prime is 1143440687. The reversal of 1143440676 is 6760443411.

1143440676 is a `hidden beast` number, since 1 + 143 + 440 + 6 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1143440676.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26481 + ... + 54663.

Almost surely, 21143440676 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 1143440676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1754284896).

1143440676 is an abundant number, since it is smaller than the sum of its proper divisors (2365129116).

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

1143440676 is a wasteful number, since it uses less digits than its factorization.

1143440676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28230 (or 28218 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 1143440676 is about 33814.7996593208. The cubic root of 1143440676 is about 1045.6938307193.

The spelling of 1143440676 in words is "one billion, one hundred forty-three million, four hundred forty thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 49 63 69 84 92 98 126 138 147 161 196 207 252 276 294 322 414 441 483 588 644 828 882 966 1127 1449 1764 1932 2254 2898 3381 4508 5796 6762 10143 13524 20286 28183 40572 56366 84549 112732 169098 197281 253647 338196 394562 507294 591843 648209 789124 1014588 1183686 1296418 1380967 1775529 1944627 2367372 2592836 2761934 3551058 3889254 4142901 4537463 5523868 5833881 7102116 7778508 8285802 9074926 11667762 12428703 13612389 16571604 18149852 23335524 24857406 27224778 31762241 40837167 49714812 54449556 63524482 81674334 95286723 127048964 163348668 190573446 285860169 381146892 571720338 1143440676