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40804142147344 = 24592270672
BaseRepresentation
bin10010100011100011101000…
…11001011110011100010000
312100110211121211020122020201
421101301310121132130100
520322013340342203334
6222441055241144544
711411000452365052
oct1121616431363420
9170424554218221
1040804142147344
1112001a37531434
1246b014878b154
13199ca777453a4
14a10d069d78d2
154ab6219b1c14
hex251c7465e710

40804142147344 has 45 divisors (see below), whose sum is σ = 80423674521447. Its totient is φ = 20055532272672.

The previous prime is 40804142147311. The next prime is 40804142147357. The reversal of 40804142147344 is 44374124140804.

The square root of 40804142147344 is 6387812.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 40804142147294 and 40804142147303.

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, 1507510099 + ... + 1507537165.

Almost surely, 240804142147344 is an apocalyptic number.

40804142147344 is the 6387812-nd square number.

It is an amenable number.

40804142147344 is a deficient number, since it is larger than the sum of its proper divisors (39619532374103).

40804142147344 is an frugal number, since it uses more digits than its factorization.

40804142147344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54260 (or 27128 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 46.

The spelling of 40804142147344 in words is "forty trillion, eight hundred four billion, one hundred forty-two million, one hundred forty-seven thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 59 118 236 472 944 3481 6962 13924 27067 27848 54134 55696 108268 216536 433072 1596953 3193906 6387812 12775624 25551248 94220227 188440454 376880908 732622489 753761816 1465244978 1507523632 2930489956 5860979912 11721959824 43224726851 86449453702 172898907404 345797814808 691595629616 2550258884209 5100517768418 10201035536836 20402071073672 40804142147344