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4004444112 = 2431721272273
BaseRepresentation
bin1110111010101110…
…1111011111010000
3101100002001211121220
43232223233133100
531200114202422
61501205045040
7201143133114
oct35653573720
911302054556
104004444112
11177544a149
129390b6780
134ba819476
1429db8d744
15186851e5c
hexeeaef7d0

4004444112 has 120 divisors (see below), whose sum is σ = 11080528896. Its totient is φ = 1245855744.

The previous prime is 4004444111. The next prime is 4004444137. The reversal of 4004444112 is 2114444004.

It is a happy number.

It is a super-2 number, since 2×40044441122 = 32071145292262937088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004444111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1760608 + ... + 1762880.

Almost surely, 24004444112 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 4004444112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5540264448).

4004444112 is an abundant number, since it is smaller than the sum of its proper divisors (7076084784).

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

4004444112 is a wasteful number, since it uses less digits than its factorization.

4004444112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2445 (or 2422 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 4004444112 is about 63280.6772403709. The cubic root of 4004444112 is about 1587.9887167232.

Adding to 4004444112 its reverse (2114444004), we get a palindrome (6118888116).

The spelling of 4004444112 in words is "four billion, four million, four hundred forty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 127 136 204 254 272 289 381 408 508 578 762 816 867 1016 1156 1524 1734 2032 2159 2273 2312 3048 3468 4318 4546 4624 6096 6477 6819 6936 8636 9092 12954 13638 13872 17272 18184 25908 27276 34544 36368 36703 38641 51816 54552 73406 77282 103632 109104 110109 115923 146812 154564 220218 231846 288671 293624 309128 440436 463692 577342 587248 618256 656897 866013 880872 927384 1154684 1313794 1732026 1761744 1854768 1970691 2309368 2627588 3464052 3941382 4618736 4907407 5255176 6928104 7882764 9814814 10510352 13856208 14722221 15765528 19629628 29444442 31531056 39259256 58888884 78518512 83425919 117777768 166851838 235555536 250277757 333703676 500555514 667407352 1001111028 1334814704 2002222056 4004444112