Search a number
-
+
1045391733136 = 2444325772
BaseRepresentation
bin11110011011001100011…
…00111111000110010000
310200221100010222101101101
433031212030333012100
5114111430240430021
62120125112514144
7135345532055302
oct17154614770620
93627303871341
101045391733136
1137339141a933
1214a72b6ab954
13777703b552a
1438850b27972
151c2d6783a91
hexf36633f190

1045391733136 has 45 divisors (see below), whose sum is σ = 2033553262881. Its totient is φ = 520612125696.

The previous prime is 1045391733097. The next prime is 1045391733143. The reversal of 1045391733136 is 6313371935401.

The square root of 1045391733136 is 1022444.

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., 1038157210000 + 7234523136 = 1018900^2 + 85056^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1811770480 + ... + 1811771056.

Almost surely, 21045391733136 is an apocalyptic number.

1045391733136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1045391733136 is the 1022444-th square number.

It is an amenable number.

1045391733136 is a deficient number, since it is larger than the sum of its proper divisors (988161529745).

1045391733136 is an frugal number, since it uses more digits than its factorization.

1045391733136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2048 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 46.

The spelling of 1045391733136 in words is "one trillion, forty-five billion, three hundred ninety-one million, seven hundred thirty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 443 577 886 1154 1772 2308 3544 4616 7088 9232 196249 255611 332929 392498 511222 665858 784996 1022444 1331716 1569992 2044888 2663432 3139984 4089776 5326864 113235673 147487547 226471346 294975094 452942692 589950188 905885384 1179900376 1811770768 2359800752 65336983321 130673966642 261347933284 522695866568 1045391733136