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1142325646336 = 2107376942283
BaseRepresentation
bin10000100111110111111…
…010100001010000000000
311001012112122020101020201
4100213313322201100000
5122203440331140321
62232435511014544
7145346615533240
oct20476772412000
94035478211221
101142325646336
114005040575a6
1216548266a454
138394a912114
143d40889bb20
151eaab723291
hex109f7ea1400

1142325646336 has 88 divisors (see below), whose sum is σ = 2610509295680. Its totient is φ = 489426665472.

The previous prime is 1142325646247. The next prime is 1142325646339. The reversal of 1142325646336 is 6336465232411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142325646339) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 26995051 + ... + 27037333.

It is an arithmetic number, because the mean of its divisors is an integer number (29664878360).

Almost surely, 21142325646336 is an apocalyptic number.

1142325646336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1142325646336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1305254647840).

1142325646336 is an abundant number, since it is smaller than the sum of its proper divisors (1468183649344).

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

1142325646336 is an equidigital number, since it uses as much as digits as its factorization.

1142325646336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46079 (or 46061 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 46.

The spelling of 1142325646336 in words is "one trillion, one hundred forty-two billion, three hundred twenty-five million, six hundred forty-six thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 3584 3769 7168 7538 15076 26383 30152 42283 52766 60304 84566 105532 120608 169132 211064 241216 295981 338264 422128 482432 591962 676528 844256 964864 1183924 1353056 1688512 1929728 2367848 2706112 3377024 3859456 4735696 5412224 6754048 9471392 10824448 13508096 18942784 21648896 27016192 37885568 43297792 75771136 151542272 159364627 303084544 318729254 637458508 1115552389 1274917016 2231104778 2549834032 4462209556 5099668064 8924419112 10199336128 17848838224 20398672256 35697676448 40797344512 71395352896 81594689024 142790705792 163189378048 285581411584 571162823168 1142325646336