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430224143144 = 232341392314537
BaseRepresentation
bin1100100001010110101…
…10110111001100101000
31112010111001121220221212
412100223112313030220
524022044340040034
6525350420252252
743040232610265
oct6205326671450
91463431556855
10430224143144
111565033494a4
126b469241088
1331754291903
1416b742b626c
15b2d004a2ce
hex642b5b7328

430224143144 has 64 divisors (see below), whose sum is σ = 862552333440. Its totient is φ = 200675875840.

The previous prime is 430224143143. The next prime is 430224143159. The reversal of 430224143144 is 441341422034.

It is a self number, because there is not a number n which added to its sum of digits gives 430224143144.

It is not an unprimeable number, because it can be changed into a prime (430224143143) by changing a digit.

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, 29587844 + ... + 29602380.

It is an arithmetic number, because the mean of its divisors is an integer number (13477380210).

Almost surely, 2430224143144 is an apocalyptic number.

It is an amenable number.

430224143144 is an abundant number, since it is smaller than the sum of its proper divisors (432328190296).

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

430224143144 is a wasteful number, since it uses less digits than its factorization.

430224143144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18530 (or 18526 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 430224143144 its reverse (441341422034), we get a palindrome (871565565178).

The spelling of 430224143144 in words is "four hundred thirty billion, two hundred twenty-four million, one hundred forty-three thousand, one hundred forty-four".

Divisors: 1 2 4 8 23 41 46 82 92 164 184 328 943 1886 3772 3923 7544 7846 14537 15692 29074 31384 58148 90229 116296 160843 180458 321686 334351 360916 596017 643372 668702 721832 1192034 1286744 1337404 2384068 2674808 3699389 4768136 7398778 13708391 14797556 27416782 29595112 54833564 57028651 109667128 114057302 228114604 456229208 1311658973 2338174691 2623317946 4676349382 5246635892 9352698764 10493271784 18705397528 53778017893 107556035786 215112071572 430224143144