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441324343240 = 235111815699739
BaseRepresentation
bin1100110110000001111…
…10110000111111001000
31120012010122121111212221
412123000332300333020
524212313012440430
6534424104143424
743612300010554
oct6330076607710
91505118544787
10441324343240
1116018a0a5090
1271646767b74
1332802b9cb51
14175085ca864
15b72e7cd57a
hex66c0fb0fc8

441324343240 has 128 divisors (see below), whose sum is σ = 1091261808000. Its totient is φ = 159298099200.

The previous prime is 441324343199. The next prime is 441324343267. The reversal of 441324343240 is 42343423144.

It is a junction number, because it is equal to n+sod(n) for n = 441324343196 and 441324343205.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45310291 + ... + 45320029.

It is an arithmetic number, because the mean of its divisors is an integer number (8525482875).

Almost surely, 2441324343240 is an apocalyptic number.

441324343240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441324343240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545630904000).

441324343240 is an abundant number, since it is smaller than the sum of its proper divisors (649937464760).

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

441324343240 is a wasteful number, since it uses less digits than its factorization.

441324343240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10511 (or 10507 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 441324343240 its reverse (42343423144), we get a palindrome (483667766384).

The spelling of 441324343240 in words is "four hundred forty-one billion, three hundred twenty-four million, three hundred forty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 181 220 362 440 569 724 905 1138 1448 1810 1991 2276 2845 3620 3982 4552 5690 6259 7240 7964 9739 9955 11380 12518 15928 19478 19910 22760 25036 31295 38956 39820 48695 50072 62590 77912 79640 97390 102989 107129 125180 194780 205978 214258 250360 389560 411956 428516 514945 535645 823912 857032 1029890 1071290 1132879 1762759 2059780 2142580 2265758 3525518 4119560 4285160 4531516 5541491 5664395 7051036 8813795 9063032 11082982 11328790 14102072 17627590 19390349 22165964 22657580 27707455 35255180 38780698 44331928 45315160 55414910 60956401 70510360 77561396 96951745 110829820 121912802 155122792 193903490 221659640 243825604 304782005 387806980 487651208 609564010 775613960 1003009871 1219128020 2006019742 2438256040 4012039484 5015049355 8024078968 10030098710 11033108581 20060197420 22066217162 40120394840 44132434324 55165542905 88264868648 110331085810 220662171620 441324343240