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110411424032 = 2572135416573
BaseRepresentation
bin110011011010100001…
…0001010000100100000
3101112222202120111001012
41212311002022010200
53302110311032112
6122420004000052
710656045422300
oct1466502120440
9345882514035
10110411424032
1142909409078
1219494690028
13a54780b290
1454b5abd600
152d132b6022
hex19b508a120

110411424032 has 72 divisors (see below), whose sum is σ = 272312841276. Its totient is φ = 43679236608.

The previous prime is 110411424023. The next prime is 110411424037. The reversal of 110411424032 is 230424114011.

It can be written as a sum of positive squares in 2 ways, for example, as 80245292176 + 30166131856 = 283276^2 + 173684^2 .

It is a junction number, because it is equal to n+sod(n) for n = 110411423989 and 110411424007.

It is not an unprimeable number, because it can be changed into a prime (110411424037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2687903 + ... + 2728670.

Almost surely, 2110411424032 is an apocalyptic number.

It is an amenable number.

110411424032 is an abundant number, since it is smaller than the sum of its proper divisors (161901417244).

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

110411424032 is a wasteful number, since it uses less digits than its factorization.

110411424032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5416610 (or 5416595 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 110411424032 its reverse (230424114011), we get a palindrome (340835538043).

The spelling of 110411424032 in words is "one hundred ten billion, four hundred eleven million, four hundred twenty-four thousand, thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 91 98 104 112 182 196 208 224 364 392 416 637 728 784 1274 1456 1568 2548 2912 5096 10192 20384 5416573 10833146 21666292 37916011 43332584 70415449 75832022 86665168 140830898 151664044 173330336 265412077 281661796 303328088 492908143 530824154 563323592 606656176 985816286 1061648308 1126647184 1213312352 1971632572 2123296616 2253294368 3450357001 3943265144 4246593232 6900714002 7886530288 8493186464 13801428004 15773060576 27602856008 55205712016 110411424032