Search a number
-
+
441320023144 = 237111355109893
BaseRepresentation
bin1100110110000001011…
…10010010010001101000
31120012010100111000211101
412123000232102101220
524212310411220034
6534423431411144
743612215205540
oct6330056222150
91505110430741
10441320023144
11160187714360
1271645223ab4
1332802019690
1417507bc4320
15b72e228514
hex66c0b92468

441320023144 has 64 divisors (see below), whose sum is σ = 1111015463040. Its totient is φ = 158716488960.

The previous prime is 441320023091. The next prime is 441320023147.

441320023144 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (441320023147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27546939 + ... + 27562954.

It is an arithmetic number, because the mean of its divisors is an integer number (17359616610).

Almost surely, 2441320023144 is an apocalyptic number.

441320023144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

441320023144 is an abundant number, since it is smaller than the sum of its proper divisors (669695439896).

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

441320023144 is a wasteful number, since it uses less digits than its factorization.

441320023144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55109930 (or 55109926 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

It can be divided in two parts, 4413200 and 23144, that added together give a palindrome (4436344).

The spelling of 441320023144 in words is "four hundred forty-one billion, three hundred twenty million, twenty-three thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 364 572 616 728 1001 1144 2002 4004 8008 55109893 110219786 220439572 385769251 440879144 606208823 716428609 771538502 1212417646 1432857218 1543077004 2424835292 2865714436 3086154008 4243461761 4849670584 5015000263 5731428872 7880714699 8486923522 10030000526 15761429398 16973847044 20060001052 31522858796 33947694088 40120002104 55165002893 63045717592 110330005786 220660011572 441320023144