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1344542287936 = 2619327512
BaseRepresentation
bin10011100100001100111…
…101110010100001000000
311202112111110112010101011
4103210030331302201000
5134012110311203221
62505401343250304
7166066003610221
oct23441475624100
94675443463334
101344542287936
11479243084401
121986b85a9994
1399a3623b533
144910d10d248
1524e945a01e1
hex1390cf72840

1344542287936 has 63 divisors (see below), whose sum is σ = 2685547915533. Its totient is φ = 667897344000.

The previous prime is 1344542287931. The next prime is 1344542287969. The reversal of 1344542287936 is 6397822454431.

The square root of 1344542287936 is 1159544.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 325766977600 + 1018775310336 = 570760^2 + 1009344^2 .

It is a super-2 number, since 2×13445422879362 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1344542287931) 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 8 ways as a sum of consecutive naturals, for example, 1790335561 + ... + 1790336311.

It is an arithmetic number, because the mean of its divisors is an integer number (42627744691).

Almost surely, 21344542287936 is an apocalyptic number.

1344542287936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1344542287936 is the 1159544-th square number.

It is an amenable number.

1344542287936 is a deficient number, since it is larger than the sum of its proper divisors (1341005627597).

1344542287936 is an frugal number, since it uses more digits than its factorization.

1344542287936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1900 (or 946 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 58.

The spelling of 1344542287936 in words is "one trillion, three hundred forty-four billion, five hundred forty-two million, two hundred eighty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 193 386 751 772 1502 1544 3004 3088 6008 6176 12016 12352 24032 37249 48064 74498 144943 148996 289886 297992 564001 579772 595984 1128002 1159544 1191968 2256004 2319088 2383936 4512008 4638176 9024016 9276352 18048032 27973999 36096064 55947998 108852193 111895996 217704386 223791992 435408772 447583984 870817544 895167968 1741635088 1790335936 3483270176 6966540352 21008473249 42016946498 84033892996 168067785992 336135571984 672271143968 1344542287936