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1040664306112 = 26612273593271
BaseRepresentation
bin11110010010011000110…
…11010010000111000000
310200111010200111012122121
433021030123102013000
5114022240030243422
62114024035414024
7135120426436234
oct17111433220700
93614120435577
101040664306112
11371385963a52
12149830454314
1377198b70932
1438522d3a5c4
151c10b71e8c7
hexf24c6d21c0

1040664306112 has 112 divisors (see below), whose sum is σ = 2114686794240. Its totient is φ = 507972787200.

The previous prime is 1040664306107. The next prime is 1040664306151. The reversal of 1040664306112 is 2116034660401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 318147037 + ... + 318150307.

Almost surely, 21040664306112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1040664306112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057343397120).

1040664306112 is an abundant number, since it is smaller than the sum of its proper divisors (1074022488128).

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

1040664306112 is a wasteful number, since it uses less digits than its factorization.

1040664306112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3930 (or 3920 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

Adding to 1040664306112 its reverse (2116034660401), we get a palindrome (3156698966513).

The spelling of 1040664306112 in words is "one trillion, forty billion, six hundred sixty-four million, three hundred six thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 61 64 122 227 244 359 454 488 718 908 976 1436 1816 1952 2872 3271 3632 3904 5744 6542 7264 11488 13084 13847 14528 21899 22976 26168 27694 43798 52336 55388 81493 87596 104672 110776 162986 175192 199531 209344 221552 325972 350384 399062 443104 651944 700768 742517 798124 886208 1174289 1303888 1401536 1485034 1596248 2348578 2607776 2970068 3192496 4697156 4971073 5215552 5940136 6384992 9394312 9942146 11880272 12769984 18788624 19884292 23760544 37577248 39768584 45293537 47521088 71631629 75154496 79537168 90587074 143263258 159074336 181174148 266563603 286526516 318148672 362348296 533127206 573053032 724696592 1066254412 1146106064 1449393184 2132508824 2292212128 2898786368 4265017648 4584424256 8530035296 16260379783 17060070592 32520759566 65041519132 130083038264 260166076528 520332153056 1040664306112