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10440113400441 = 3317150311513229
BaseRepresentation
bin1001011111101100011101…
…0000000010101001111001
31100222001202110020111111000
42113323013100002221321
52332022323012303231
634112042154355213
72125162512462534
oct227730720025171
940861673214430
1010440113400441
11336569992892a
121207444a2bb09
135a96631a216a
1428143897ba1b
151318882736e6
hex97ec7402a79

10440113400441 has 32 divisors (see below), whose sum is σ = 16377748819200. Its totient is φ = 6550219249920.

The previous prime is 10440113400383. The next prime is 10440113400449. The reversal of 10440113400441 is 14400431104401.

10440113400441 is a `hidden beast` number, since 104 + 4 + 0 + 113 + 4 + 0 + 0 + 441 = 666.

10440113400441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10440113400441 - 26 = 10440113400377 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10440113400449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6142615 + ... + 7655843.

It is an arithmetic number, because the mean of its divisors is an integer number (511804650600).

Almost surely, 210440113400441 is an apocalyptic number.

It is an amenable number.

10440113400441 is a deficient number, since it is larger than the sum of its proper divisors (5937635418759).

10440113400441 is a wasteful number, since it uses less digits than its factorization.

10440113400441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1528286 (or 1528280 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 10440113400441 its reverse (14400431104401), we get a palindrome (24840544504842).

The spelling of 10440113400441 in words is "ten trillion, four hundred forty billion, one hundred thirteen million, four hundred thousand, four hundred forty-one".

Divisors: 1 3 9 17 27 51 153 459 15031 45093 135279 255527 405837 766581 1513229 2299743 4539687 6899229 13619061 25724893 40857183 77174679 231524037 694572111 22745345099 68236035297 204708105891 386670866683 614124317673 1160012600049 3480037800147 10440113400441