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441332404233144 = 23337496995950713
BaseRepresentation
bin110010001011000111011010…
…1001011101010001110111000
32010212121222002001211011220120
41210112032311023222032320
5430321242230440430034
64202345150234053240
7161650133253063504
oct14426166513521670
92125558061734816
10441332404233144
1111869302674a926
12415b921527a220
1315c3460c4133a8
147ada860b59304
1536051069a9c49
hex19163b52ea3b8

441332404233144 has 32 divisors (see below), whose sum is σ = 1133150767627920. Its totient is φ = 143134833805056.

The previous prime is 441332404233139. The next prime is 441332404233163.

441332404233144 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 441332404233096 and 441332404233105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 248497974469 + ... + 248497976244.

Almost surely, 2441332404233144 is an apocalyptic number.

It is an amenable number.

441332404233144 is an abundant number, since it is smaller than the sum of its proper divisors (691818363394776).

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

441332404233144 is a wasteful number, since it uses less digits than its factorization.

441332404233144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496995950759 (or 496995950755 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 42.

It can be divided in two parts, 44133240 and 4233144, that added together give a palindrome (48366384).

The spelling of 441332404233144 in words is "four hundred forty-one trillion, three hundred thirty-two billion, four hundred four million, two hundred thirty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 888 496995950713 993991901426 1490987852139 1987983802852 2981975704278 3975967605704 5963951408556 11927902817112 18388850176381 36777700352762 55166550529143 73555400705524 110333101058286 147110801411048 220666202116572 441332404233144