Search a number
-
+
1381358297344 = 281722921492
BaseRepresentation
bin10100000110011111010…
…111101110000100000000
311220001112020100011220011
4110012133113232010000
5140113010211003334
62534330502154304
7201541226536504
oct24063727560400
94801466304804
101381358297344
11492915824163
121a3872122994
13a035276919c
144ac0289c304
1525deb79c564
hex1419f5ee100

1381358297344 has 243 divisors, whose sum is σ = 3054037667317. Its totient is φ = 623423094784.

The previous prime is 1381358297227. The next prime is 1381358297359. The reversal of 1381358297344 is 4437928531831.

The square root of 1381358297344 is 1175312.

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

It can be written as a sum of positive squares in 13 ways, for example, as 849788985600 + 531569311744 = 921840^2 + 729088^2 .

It is a super-2 number, since 2×13813582973442 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9270860982 + ... + 9270861130.

Almost surely, 21381358297344 is an apocalyptic number.

1381358297344 is the 1175312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1381358297344

1381358297344 is an abundant number, since it is smaller than the sum of its proper divisors (1672679369973).

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

1381358297344 is an frugal number, since it uses more digits than its factorization.

1381358297344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 197 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 58.

The spelling of 1381358297344 in words is "one trillion, three hundred eighty-one billion, three hundred fifty-eight million, two hundred ninety-seven thousand, three hundred forty-four".