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1344975992361 = 36429532
BaseRepresentation
bin10011100100100110110…
…100001111011000101001
311202120121200121121000000
4103210212310033120221
5134014002323223421
62505512355133213
7166112521206501
oct23444664173051
94676550547000
101344975992361
1147944597aa11
121987b98a4209
1399aa5050c81
1449150968a01
1524ebc6c0226
hex13926d0f629

1344975992361 has 21 divisors (see below), whose sum is σ = 2016588457159. Its totient is φ = 896629786416.

The previous prime is 1344975992341. The next prime is 1344975992453. The reversal of 1344975992361 is 1632995794431.

It is a happy number.

The square root of 1344975992361 is 1159731.

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

1344975992361 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 9 + 7 + 599 + 2 + 36 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 75622250025 + 1269353742336 = 274995^2 + 1126656^2 .

It is not a de Polignac number, because 1344975992361 - 211 = 1344975990313 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1344975992341) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 31291261 + ... + 31334213.

Almost surely, 21344975992361 is an apocalyptic number.

1344975992361 is the 1159731-st square number.

1344975992361 is the 579866-th centered octagonal number.

It is an amenable number.

1344975992361 is a deficient number, since it is larger than the sum of its proper divisors (671612464798).

1344975992361 is an frugal number, since it uses more digits than its factorization.

1344975992361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85924 (or 42956 counting only the distinct ones).

The product of its digits is 44089920, while the sum is 63.

The spelling of 1344975992361 in words is "one trillion, three hundred forty-four billion, nine hundred seventy-five million, nine hundred ninety-two thousand, three hundred sixty-one".

Divisors: 1 3 9 27 81 243 729 42953 128859 386577 1159731 3479193 10437579 31312737 1844960209 5534880627 16604641881 49813925643 149441776929 448325330787 1344975992361