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4221034000144 = 241341494961773
BaseRepresentation
bin111101011011001001001…
…110110110111100010000
3112221112020010011022012221
4331123021032312330100
51023124134201001034
612551041035430424
7613650105003523
oct75331116667420
915845203138187
104221034000144
111388148718465
125820938b5414
13248070aa5330
14108428b84bba
1574bead45bb4
hex3d6c93b6f10

4221034000144 has 40 divisors (see below), whose sum is σ = 9022163216472. Its totient is φ = 1900653204480.

The previous prime is 4221034000097. The next prime is 4221034000147. The reversal of 4221034000144 is 4410004301224.

It can be written as a sum of positive squares in 4 ways, for example, as 140634000144 + 4080400000000 = 375012^2 + 2020000^2 .

It is not an unprimeable number, because it can be changed into a prime (4221034000147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 247472359 + ... + 247489414.

Almost surely, 24221034000144 is an apocalyptic number.

It is an amenable number.

4221034000144 is an abundant number, since it is smaller than the sum of its proper divisors (4801129216328).

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

4221034000144 is a wasteful number, since it uses less digits than its factorization.

4221034000144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494961835 (or 494961829 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 4221034000144 its reverse (4410004301224), we get a palindrome (8631038301368).

The spelling of 4221034000144 in words is "four trillion, two hundred twenty-one billion, thirty-four million, one hundred forty-four", and thus it is an aban number.

Divisors: 1 2 4 8 13 16 26 41 52 82 104 164 208 328 533 656 1066 2132 4264 8528 494961773 989923546 1979847092 3959694184 6434503049 7919388368 12869006098 20293432693 25738012196 40586865386 51476024392 81173730772 102952048784 162347461544 263814625009 324694923088 527629250018 1055258500036 2110517000072 4221034000144