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447309491344 = 2437245192
BaseRepresentation
bin1101000001001011011…
…10010010110010010000
31120202120202201112120221
412200211232102302100
524312042212210334
6541254030442424
744213513641132
oct6404556226220
91522522645527
10447309491344
11162780601481
1272837063414
1333247b687c1
1417915451052
15b97ee808b4
hex6825b92c90

447309491344 has 45 divisors (see below), whose sum is σ = 890915651577. Its totient is φ = 217561868352.

The previous prime is 447309491297. The next prime is 447309491353. The reversal of 447309491344 is 443194903744.

It is a happy number.

The square root of 447309491344 is 668812.

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., 400258675600 + 47050815744 = 632660^2 + 216912^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 447309491291 and 447309491300.

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, 98981917 + ... + 98986435.

Almost surely, 2447309491344 is an apocalyptic number.

447309491344 is the 668812-nd square number.

It is an amenable number.

447309491344 is a deficient number, since it is larger than the sum of its proper divisors (443606160233).

447309491344 is an frugal number, since it uses more digits than its factorization.

447309491344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9120 (or 4558 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 52.

The spelling of 447309491344 in words is "four hundred forty-seven billion, three hundred nine million, four hundred ninety-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 37 74 148 296 592 1369 2738 4519 5476 9038 10952 18076 21904 36152 72304 167203 334406 668812 1337624 2675248 6186511 12373022 20421361 24746044 40842722 49492088 81685444 98984176 163370888 326741776 755590357 1511180714 3022361428 6044722856 12089445712 27956843209 55913686418 111827372836 223654745672 447309491344