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430144314411332 = 2229101126892893393
BaseRepresentation
bin110000111001101101100011…
…1000100000000100101000100
32002102000101122211222120002102
41201303123013010000211010
5422334441023442130312
64122501323044531232
7156413621046515543
oct14163330704004504
92072011584876072
10430144314411332
1111506a1a7711994
12402b0a246b0b18
1315602586345bb1
14783114b21c15a
1534ae0927a7ec2
hex18736c7100944

430144314411332 has 48 divisors (see below), whose sum is σ = 786481778401200. Its totient is φ = 205583603097600.

The previous prime is 430144314411283. The next prime is 430144314411347. The reversal of 430144314411332 is 233114413441034.

It can be written as a sum of positive squares in 8 ways, for example, as 9684942340096 + 420459372071236 = 3112064^2 + 20505106^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147217628 + ... + 150111020.

It is an arithmetic number, because the mean of its divisors is an integer number (16385037050025).

Almost surely, 2430144314411332 is an apocalyptic number.

It is an amenable number.

430144314411332 is a deficient number, since it is larger than the sum of its proper divisors (356337463989868).

430144314411332 is a wasteful number, since it uses less digits than its factorization.

430144314411332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2906216 (or 2906214 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 38.

Adding to 430144314411332 its reverse (233114413441034), we get a palindrome (663258727852366).

The spelling of 430144314411332 in words is "four hundred thirty trillion, one hundred forty-four billion, three hundred fourteen million, four hundred eleven thousand, three hundred thirty-two".

Divisors: 1 2 4 29 58 101 116 202 404 2929 5858 11716 12689 25378 50756 367981 735962 1281589 1471924 2563178 2893393 5126356 5786786 11573572 37166081 74332162 83908397 148664324 167816794 292232693 335633588 584465386 1168930772 8474748097 16949496194 33898992388 36714263777 73428527554 146857055108 1064713649533 2129427299066 3708140641477 4258854598132 7416281282954 14832562565908 107536078602833 215072157205666 430144314411332