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10514707611444 = 22322404211214849
BaseRepresentation
bin1001100100000010010101…
…1010010111111100110100
31101020012022001102001001200
42121000211122113330310
52334233110122031234
634210220123252500
72133443154014421
oct231004532277464
941205261361050
1010514707611444
1133942983686a3
1212199a237a130
135b36c038ab5a
14284cb37c4d48
151337a1d81d99
hex99025697f34

10514707611444 has 36 divisors (see below), whose sum is σ = 26578976669700. Its totient is φ = 3504885073920.

The previous prime is 10514707611413. The next prime is 10514707611511. The reversal of 10514707611444 is 44411670741501.

10514707611444 is a `hidden beast` number, since 1 + 0 + 5 + 147 + 0 + 7 + 61 + 1 + 444 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5982867080100 + 4531840531344 = 2445990^2 + 2128812^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105147076114442 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10514707611444.

It is a congruent number.

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, 8047732 + ... + 9262580.

Almost surely, 210514707611444 is an apocalyptic number.

It is an amenable number.

10514707611444 is an abundant number, since it is smaller than the sum of its proper divisors (16064269058256).

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

10514707611444 is a wasteful number, since it uses less digits than its factorization.

10514707611444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1455280 (or 1455275 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 10514707611444 in words is "ten trillion, five hundred fourteen billion, seven hundred seven million, six hundred eleven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 240421 480842 721263 961684 1214849 1442526 2163789 2429698 2885052 3644547 4327578 4859396 7289094 8655156 10933641 14578188 21867282 43734564 292075211429 584150422858 876225634287 1168300845716 1752451268574 2628676902861 3504902537148 5257353805722 10514707611444