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443161161344 = 2711314745143
BaseRepresentation
bin1100111001011100111…
…01101010111010000000
31120100212122220112122002
412130232131222322000
524230043224130334
6535330241403132
744005642501436
oct6345635527200
91510778815562
10443161161344
11160a41a16780
1271a799394a8
1332a365b1375
1417640528d56
15b7dabaab7e
hex672e76ae80

443161161344 has 32 divisors (see below), whose sum is σ = 963120140640. Its totient is φ = 201436890880.

The previous prime is 443161161337. The next prime is 443161161347.

443161161344 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 443161161298 and 443161161307.

It is not an unprimeable number, because it can be changed into a prime (443161161347) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 157371164 + ... + 157373979.

It is an arithmetic number, because the mean of its divisors is an integer number (30097504395).

Almost surely, 2443161161344 is an apocalyptic number.

443161161344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

443161161344 is an abundant number, since it is smaller than the sum of its proper divisors (519958979296).

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

443161161344 is a wasteful number, since it uses less digits than its factorization.

443161161344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314745168 (or 314745156 counting only the distinct ones).

The product of its digits is 82944, while the sum is 38.

The spelling of 443161161344 in words is "four hundred forty-three billion, one hundred sixty-one million, one hundred sixty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 314745143 629490286 1258980572 2517961144 3462196573 5035922288 6924393146 10071844576 13848786292 20143689152 27697572584 40287378304 55395145168 110790290336 221580580672 443161161344