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441244323124044 = 2231129115267587023
BaseRepresentation
bin110010001010011110011001…
…1001000111001001101001100
32010212022112201112200020020120
41210110330303020321031030
5430313321333204432134
64202240502122144540
7161640564444026166
oct14424746310711514
92125275645606216
10441244323124044
11118659737207990
12415a4133052150
1315c2921300a31b
147ad64a6a41936
153602b9dd1d649
hex1914f3323934c

441244323124044 has 48 divisors (see below), whose sum is σ = 1161897277201920. Its totient is φ = 129099697464640.

The previous prime is 441244323124027. The next prime is 441244323124051. The reversal of 441244323124044 is 440421323442144.

It is a super-7 number, since 7×4412443231240447 (a number of 104 digits) contains 7777777 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 441244323123987 and 441244323124005.

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, 57633789684 + ... + 57633797339.

It is an arithmetic number, because the mean of its divisors is an integer number (24206193275040).

Almost surely, 2441244323124044 is an apocalyptic number.

441244323124044 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

441244323124044 is an abundant number, since it is smaller than the sum of its proper divisors (720652954077876).

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

441244323124044 is a wasteful number, since it uses less digits than its factorization.

441244323124044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115267587070 (or 115267587068 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 42.

Adding to 441244323124044 its reverse (440421323442144), we get a palindrome (881665646566188).

The spelling of 441244323124044 in words is "four hundred forty-one trillion, two hundred forty-four billion, three hundred twenty-three million, one hundred twenty-four thousand, forty-four".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 319 348 638 957 1276 1914 3828 115267587023 230535174046 345802761069 461070348092 691605522138 1267943457253 1383211044276 2535886914506 3342760023667 3803830371759 5071773829012 6685520047334 7607660743518 10028280071001 13371040094668 15215321487036 20056560142002 36770360260337 40113120284004 73540720520674 110311080781011 147081441041348 220622161562022 441244323124044