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44111111142 = 23722943120319
BaseRepresentation
bin101001000101001110…
…100010001111100110
311012212011211121210010
4221011032202033212
51210314421024032
632133034111050
73121054154400
oct510516421746
9135764747703
1044111111142
111778663275a
12867087b486
13420ca07cc7
1421c65a5b70
1512328a8ccc
hexa453a23e6

44111111142 has 96 divisors (see below), whose sum is σ = 108634521600. Its totient is φ = 11885493312.

The previous prime is 44111111117. The next prime is 44111111167. The reversal of 44111111142 is 24111111144.

It is an interprime number because it is at equal distance from previous prime (44111111117) and next prime (44111111167).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 306459 + ... + 426777.

It is an arithmetic number, because the mean of its divisors is an integer number (1131609600).

Almost surely, 244111111142 is an apocalyptic number.

44111111142 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 44111111142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54317260800).

44111111142 is an abundant number, since it is smaller than the sum of its proper divisors (64523410458).

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

44111111142 is a wasteful number, since it uses less digits than its factorization.

44111111142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120410 (or 120403 counting only the distinct ones).

The product of its digits is 128, while the sum is 21.

Adding to 44111111142 its reverse (24111111144), we get a palindrome (68222222286).

The spelling of 44111111142 in words is "forty-four billion, one hundred eleven million, one hundred eleven thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 14 21 29 42 43 49 58 86 87 98 129 147 174 203 258 294 301 406 602 609 903 1218 1247 1421 1806 2107 2494 2842 3741 4214 4263 6321 7482 8526 8729 12642 17458 26187 52374 61103 120319 122206 183309 240638 360957 366618 721914 842233 1684466 2526699 3489251 5053398 5173717 5895631 6978502 10347434 10467753 11791262 15521151 17686893 20935506 24424757 31042302 35373786 36216019 48849514 72432038 73274271 108648057 146548542 150037793 170973299 217296114 253512133 300075586 341946598 450113379 507024266 512919897 760536399 900226758 1025839794 1050264551 1521072798 2100529102 3150793653 6301587306 7351851857 14703703714 22055555571 44111111142