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1321321680440 = 235127967268979
BaseRepresentation
bin10011001110100100111…
…010001100111000111000
311200022120011212001012022
4103032210322030320320
5133122031322233230
62451001245134012
7164314403654126
oct23164472147070
94608504761168
101321321680440
1146a4077072a3
121940b7b5a308
13977a555b2b8
1447d491d6916
1524585c151e5
hex133a4e8ce38

1321321680440 has 64 divisors (see below), whose sum is σ = 2999492812800. Its totient is φ = 523822819968.

The previous prime is 1321321680433. The next prime is 1321321680451. The reversal of 1321321680440 is 440861231231.

It is a self number, because there is not a number n which added to its sum of digits gives 1321321680440.

It is a congruent 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, 4777871 + ... + 5046849.

It is an arithmetic number, because the mean of its divisors is an integer number (46867075200).

Almost surely, 21321321680440 is an apocalyptic number.

1321321680440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1321321680440 is an abundant number, since it is smaller than the sum of its proper divisors (1678171132360).

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

1321321680440 is a wasteful number, since it uses less digits than its factorization.

1321321680440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270084 (or 270080 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The spelling of 1321321680440 in words is "one trillion, three hundred twenty-one billion, three hundred twenty-one million, six hundred eighty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 127 254 508 635 967 1016 1270 1934 2540 3868 4835 5080 7736 9670 19340 38680 122809 245618 268979 491236 537958 614045 982472 1075916 1228090 1344895 2151832 2456180 2689790 4912360 5379580 10759160 34160333 68320666 136641332 170801665 260102693 273282664 341603330 520205386 683206660 1040410772 1300513465 1366413320 2080821544 2601026930 5202053860 10404107720 33033042011 66066084022 132132168044 165165210055 264264336088 330330420110 660660840220 1321321680440