Search a number
-
+
1344781235792 = 241753373324989
BaseRepresentation
bin10011100100011011001…
…101010011011001010000
311202120010010010221012202
4103210123031103121100
5134013102444021132
62505441200542332
7166104634621211
oct23443315233120
94676103127182
101344781235792
11479355a49475
121987646219a8
1399a738b14b7
1449132b4d408
1524eaa54e762
hex1391b353650

1344781235792 has 80 divisors (see below), whose sum is σ = 2811697071120. Its totient is φ = 620706717696.

The previous prime is 1344781235789. The next prime is 1344781235803. The reversal of 1344781235792 is 2975321874431.

It can be written as a sum of positive squares in 8 ways, for example, as 489333826576 + 855447409216 = 699524^2 + 924904^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53802434 + ... + 53827422.

It is an arithmetic number, because the mean of its divisors is an integer number (35146213389).

Almost surely, 21344781235792 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 1344781235792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405848535560).

1344781235792 is an abundant number, since it is smaller than the sum of its proper divisors (1466915835328).

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

1344781235792 is a wasteful number, since it uses less digits than its factorization.

1344781235792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28800 (or 28794 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 56.

The spelling of 1344781235792 in words is "one trillion, three hundred forty-four billion, seven hundred eighty-one million, two hundred thirty-five thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 16 17 34 53 68 106 136 212 272 424 848 901 1802 3604 3733 7208 7466 14416 14932 24989 29864 49978 59728 63461 99956 126922 197849 199912 253844 395698 399824 424813 507688 791396 849626 1015376 1324417 1582792 1699252 2648834 3165584 3363433 3398504 5297668 6726866 6797008 10595336 13453732 21190672 22515089 26907464 45030178 53814928 90060356 93283937 180120712 186567874 360241424 373135748 746271496 1492542992 1585826929 3171653858 4944048661 6343307716 9888097322 12686615432 19776194644 25373230864 39552389288 79104778576 84048827237 168097654474 336195308948 672390617896 1344781235792