Search a number
-
+
1338473141776 = 24223212972
BaseRepresentation
bin10011011110100011001…
…101110101011000010000
311201221211111100120000001
4103132203031311120100
5133412143111014101
62502515220335344
7165462416662441
oct23364315653020
94657744316001
101338473141776
11476709216031
121974a3b44554
13992a9a427a4
1448ad50612c8
1524c3b859901
hex137a3375610

1338473141776 has 45 divisors (see below), whose sum is σ = 2606982980301. Its totient is φ = 665721835776.

The previous prime is 1338473141771. The next prime is 1338473141779. The reversal of 1338473141776 is 6771413748331.

The square root of 1338473141776 is 1156924.

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., 1334348419600 + 4124722176 = 1155140^2 + 64224^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1338473141771) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1031975560 + ... + 1031976856.

Almost surely, 21338473141776 is an apocalyptic number.

1338473141776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1338473141776 is the 1156924-th square number.

It is an amenable number.

1338473141776 is a deficient number, since it is larger than the sum of its proper divisors (1268509838525).

1338473141776 is an frugal number, since it uses more digits than its factorization.

1338473141776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3048 (or 1522 counting only the distinct ones).

The product of its digits is 7112448, while the sum is 55.

The spelling of 1338473141776 in words is "one trillion, three hundred thirty-eight billion, four hundred seventy-three million, one hundred forty-one thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 223 446 892 1297 1784 2594 3568 5188 10376 20752 49729 99458 198916 289231 397832 578462 795664 1156924 1682209 2313848 3364418 4627696 6728836 13457672 26915344 64498513 128997026 257994052 375132607 515988104 750265214 1031976208 1500530428 3001060856 6002121712 83654571361 167309142722 334618285444 669236570888 1338473141776