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443400000443424 = 25324516134090993
BaseRepresentation
bin110010011010001010001101…
…1100001010001010000100000
32011010221121220101212022011100
41210310110123201101100200
5431104131200103142144
64211011052000314400
7162252410233642113
oct14464243341212040
92133847811768140
10443400000443424
1111930a97a921a02
1241891a83012a00
13160545960aa50b
147b6c962c9657a
15363dcb9024269
hex193451b851420

443400000443424 has 72 divisors (see below), whose sum is σ = 1260946708771932. Its totient is φ = 147796723077120.

The previous prime is 443400000443417. The next prime is 443400000443429. The reversal of 443400000443424 is 424344000004344.

It can be written as a sum of positive squares in 2 ways, for example, as 438880209483024 + 4519790960400 = 20949468^2 + 2125980^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (443400000443429) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4039129 + ... + 30051864.

Almost surely, 2443400000443424 is an apocalyptic number.

It is an amenable number.

443400000443424 is an abundant number, since it is smaller than the sum of its proper divisors (817546708328508).

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

443400000443424 is a wasteful number, since it uses less digits than its factorization.

443400000443424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34136170 (or 34136159 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 443400000443424 its reverse (424344000004344), we get a palindrome (867744000447768).

The spelling of 443400000443424 in words is "four hundred forty-three trillion, four hundred billion, four hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 45161 90322 135483 180644 270966 361288 406449 541932 722576 812898 1083864 1445152 1625796 2167728 3251592 4335456 6503184 13006368 34090993 68181986 102272979 136363972 204545958 272727944 306818937 409091916 545455888 613637874 818183832 1090911776 1227275748 1636367664 2454551496 3272735328 4909102992 9818205984 1539583334873 3079166669746 4618750004619 6158333339492 9237500009238 12316666678984 13856250013857 18475000018476 24633333357968 27712500027714 36950000036952 49266666715936 55425000055428 73900000073904 110850000110856 147800000147808 221700000221712 443400000443424