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2144444412 = 2231195317047
BaseRepresentation
bin111111111010001…
…1001111111111100
312112110011001201010
41333310121333330
513342434210122
6552442515220
7104066322345
oct17764317774
95473131633
102144444412
11a00534910
124ba205b10
1328237c626
14164b390cc
15c83e5e0c
hex7fd19ffc

2144444412 has 48 divisors (see below), whose sum is σ = 5464634112. Its totient is φ = 649111680.

The previous prime is 2144444389. The next prime is 2144444431.

2144444412 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2144444412.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117273 + ... + 134319.

It is an arithmetic number, because the mean of its divisors is an integer number (113846544).

Almost surely, 22144444412 is an apocalyptic number.

2144444412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2144444412 is an abundant number, since it is smaller than the sum of its proper divisors (3320189700).

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

2144444412 is a wasteful number, since it uses less digits than its factorization.

2144444412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18018 (or 18016 counting only the distinct ones).

The product of its digits is 16384, while the sum is 30.

The square root of 2144444412 is about 46308.1462811890. The cubic root of 2144444412 is about 1289.5502332047.

It can be divided in two parts, 21444 and 44412, that added together give a palindrome (65856).

The spelling of 2144444412 in words is "two billion, one hundred forty-four million, four hundred forty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 953 1906 2859 3812 5718 10483 11436 17047 20966 31449 34094 41932 51141 62898 68188 102282 125796 187517 204564 375034 562551 750068 1125102 2250204 16245791 32491582 48737373 64983164 97474746 178703701 194949492 357407402 536111103 714814804 1072222206 2144444412