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10444404311012 = 2272187897283601
BaseRepresentation
bin1001011111111100011100…
…0000100100001111100100
31100222110211111100100012202
42113333013000210033210
52332110120000423022
634114032035434032
72125404034561100
oct227770700441744
940873744310182
1010444404311012
1133674a0a48511
121208241a55918
135a9b9815b3b9
142817247ba900
15131a39d0e592
hex97fc70243e4

10444404311012 has 36 divisors (see below), whose sum is σ = 21262011189804. Its totient is φ = 4476133670400.

The previous prime is 10444404310981. The next prime is 10444404311027. The reversal of 10444404311012 is 21011340444401.

It is a happy number.

10444404311012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3468921150016 + 6975483160996 = 1862504^2 + 2641114^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36686012 + ... + 36969612.

It is an arithmetic number, because the mean of its divisors is an integer number (590611421939).

Almost surely, 210444404311012 is an apocalyptic number.

It is an amenable number.

10444404311012 is an abundant number, since it is smaller than the sum of its proper divisors (10817606878792).

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

10444404311012 is a wasteful number, since it uses less digits than its factorization.

10444404311012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471516 (or 471507 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 10444404311012 its reverse (21011340444401), we get a palindrome (31455744755413).

The spelling of 10444404311012 in words is "ten trillion, four hundred forty-four billion, four hundred four million, three hundred eleven thousand, twelve".

Divisors: 1 2 4 7 14 28 49 98 196 187897 283601 375794 567202 751588 1134404 1315279 1985207 2630558 3970414 5261116 7940828 9206953 13896449 18413906 27792898 36827812 55585796 53287777097 106575554194 213151108388 373014439679 746028879358 1492057758716 2611101077753 5222202155506 10444404311012