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1393372489744 = 24172173592
BaseRepresentation
bin10100010001101011011…
…110001110100000010000
311221012112112011101120001
4110101223132032200100
5140312111324132434
62544035000055344
7202445032513504
oct24215336164020
94835475141501
101393372489744
11497a20499794
121a6065764554
13a151882c881
144b622332304
15263a13c3114
hex1446b78e810

1393372489744 has 45 divisors (see below), whose sum is σ = 2867969277597. Its totient is φ = 655666927872.

The previous prime is 1393372489741. The next prime is 1393372489783. The reversal of 1393372489744 is 4479842733931.

It is a happy number.

The square root of 1393372489744 is 1180412.

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., 1084805571600 + 308566918144 = 1041540^2 + 555488^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1393372489741) 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, 80259337 + ... + 80276695.

Almost surely, 21393372489744 is an apocalyptic number.

1393372489744 is the 1180412-nd square number.

It is an amenable number.

1393372489744 is an abundant number, since it is smaller than the sum of its proper divisors (1474596787853).

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

1393372489744 is an frugal number, since it uses more digits than its factorization.

1393372489744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34760 (or 17378 counting only the distinct ones).

The product of its digits is 109734912, while the sum is 64.

Multiplying 1393372489744 by its sum of digits (64), we get a square (89175839343616 = 94432962).

The spelling of 1393372489744 in words is "one trillion, three hundred ninety-three billion, three hundred seventy-two million, four hundred eighty-nine thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1156 2312 4624 17359 34718 69436 138872 277744 295103 590206 1180412 2360824 4721648 5016751 10033502 20067004 40134008 80268016 301334881 602669762 1205339524 2410679048 4821358096 5122692977 10245385954 20490771908 40981543816 81963087632 87085780609 174171561218 348343122436 696686244872 1393372489744