Search a number
-
+
440100011222124 = 223118937461696563
BaseRepresentation
bin110010000010001001100010…
…0110101011010010001101100
32010201021011001110221121120020
41210010103010311122101230
5430141044310333101444
64200003053134522140
7161462114356244211
oct14404230465322154
92121234043847506
10440100011222124
11118258403a51150
124143a3b7366350
1315b75339a53b56
147a96d50465b08
1535d3028050119
hex19044c4d5a46c

440100011222124 has 48 divisors (see below), whose sum is σ = 1132841704095360. Its totient is φ = 131865171898240.

The previous prime is 440100011222111. The next prime is 440100011222149. The reversal of 440100011222124 is 421222110001044.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 440100011222094 and 440100011222103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18730836534 + ... + 18730860029.

It is an arithmetic number, because the mean of its divisors is an integer number (23600868835320).

Almost surely, 2440100011222124 is an apocalyptic number.

440100011222124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

440100011222124 is an abundant number, since it is smaller than the sum of its proper divisors (692741692873236).

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

440100011222124 is a wasteful number, since it uses less digits than its factorization.

440100011222124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37461696670 (or 37461696668 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 440100011222124 its reverse (421222110001044), we get a palindrome (861322121223168).

The spelling of 440100011222124 in words is "four hundred forty trillion, one hundred billion, eleven million, two hundred twenty-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 89 132 178 267 356 534 979 1068 1958 2937 3916 5874 11748 37461696563 74923393126 112385089689 149846786252 224770179378 412078662193 449540358756 824157324386 1236235986579 1648314648772 2472471973158 3334090994107 4944943946316 6668181988214 10002272982321 13336363976428 20004545964642 36675000935177 40009091929284 73350001870354 110025002805531 146700003740708 220050005611062 440100011222124