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1344744056161 = 11247222432
BaseRepresentation
bin10011100100011000111…
…111011110010101100001
311202120000112012000100101
4103210120333132111201
5134013013434244121
62505433352022401
7166104003610612
oct23443077362541
94676015160311
101344744056161
11479336a64900
12198754091a01
1399a68c9460c
144912bc31c09
1524ea7158491
hex13918fde561

1344744056161 has 27 divisors (see below), whose sum is σ = 1510898926033. Its totient is φ = 1195950642920.

The previous prime is 1344744056111. The next prime is 1344744056189. The reversal of 1344744056161 is 1616504474431.

The square root of 1344744056161 is 1159631.

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

It is not a de Polignac number, because 1344744056161 - 215 = 1344744023393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1344744056111) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 599528106 + ... + 599530348.

Almost surely, 21344744056161 is an apocalyptic number.

1344744056161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1344744056161 is the 1159631-st square number.

1344744056161 is the 579816-th centered octagonal number.

It is an amenable number.

1344744056161 is a deficient number, since it is larger than the sum of its proper divisors (166154869872).

1344744056161 is an frugal number, since it uses more digits than its factorization.

1344744056161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4602 (or 2301 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 46.

The spelling of 1344744056161 in words is "one trillion, three hundred forty-four billion, seven hundred forty-four million, fifty-six thousand, one hundred sixty-one".

Divisors: 1 11 47 121 517 2209 2243 5687 24299 24673 105421 267289 271403 1159631 4954787 5031049 12755941 54502657 55341539 236459303 599529227 608756929 2601052333 11113587241 28611575663 122249459651 1344744056161