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1416320794768 = 241171941312041
BaseRepresentation
bin10100100111000011010…
…011000100000010010000
312000101202211110001222011
4110213003103010002100
5141201111110413033
63002352045552304
7204216515056045
oct24470323040220
95011684401864
101416320794768
114a672718aa30
121aa5aab75694
13a3734c8bc99
144c79c0051cc
1526c95dc0ccd
hex149c34c4090

1416320794768 has 80 divisors (see below), whose sum is σ = 3036324984192. Its totient is φ = 634594688000.

The previous prime is 1416320794753. The next prime is 1416320794787. The reversal of 1416320794768 is 8674970236141.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117618828 + ... + 117630868.

Almost surely, 21416320794768 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 1416320794768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518162492096).

1416320794768 is an abundant number, since it is smaller than the sum of its proper divisors (1620004189424).

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

1416320794768 is a wasteful number, since it uses less digits than its factorization.

1416320794768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21544 (or 21538 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 58.

The spelling of 1416320794768 in words is "one trillion, four hundred sixteen billion, three hundred twenty million, seven hundred ninety-four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 44 71 88 142 176 284 568 781 1136 1562 3124 6248 9413 12041 12496 18826 24082 37652 48164 75304 96328 103543 132451 150608 192656 207086 264902 414172 529804 668323 828344 854911 1059608 1336646 1656688 1709822 2119216 2673292 3419644 5346584 6839288 7351553 9404021 10693168 13678576 14703106 18808042 29406212 37616084 58812424 75232168 113341933 117624848 150464336 226683866 453367732 906735464 1246761263 1813470928 2493522526 4987045052 8047277243 9974090104 16094554486 19948180208 32189108972 64378217944 88520049673 128756435888 177040099346 354080198692 708160397384 1416320794768