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430134031340320 = 25518591714459881
BaseRepresentation
bin110000111001101000110001…
…0001001001101001100100000
32002101222102010012120102112111
41201303101202021031030200
5422334303444010342240
64122452502431005104
7156413105164042636
oct14163214211151440
92071872105512474
10430134031340320
1111506590013649a
12402aaa34969794
1315601607b072a8
147830853651356
1534adb8eb321ea
hex187346224d320

430134031340320 has 48 divisors (see below), whose sum is σ = 1016197185153528. Its totient is φ = 172052675205120.

The previous prime is 430134031340291. The next prime is 430134031340347. The reversal of 430134031340320 is 23043130431034.

It can be written as a sum of positive squares in 4 ways, for example, as 419032527040656 + 11101504299664 = 20470284^2 + 3331892^2 .

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 7 ways as a sum of consecutive naturals, for example, 22516780 + ... + 36976660.

Almost surely, 2430134031340320 is an apocalyptic number.

430134031340320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

430134031340320 is an abundant number, since it is smaller than the sum of its proper divisors (586063153813208).

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

430134031340320 is a wasteful number, since it uses less digits than its factorization.

430134031340320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14645813 (or 14645805 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 31.

Adding to 430134031340320 its reverse (23043130431034), we get a palindrome (453177161771354).

The spelling of 430134031340320 in words is "four hundred thirty trillion, one hundred thirty-four billion, thirty-one million, three hundred forty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 185917 371834 743668 929585 1487336 1859170 2974672 3718340 5949344 7436680 14459881 14873360 28919762 29746720 57839524 72299405 115679048 144598810 231358096 289197620 462716192 578395240 1156790480 2313580960 2688337695877 5376675391754 10753350783508 13441688479385 21506701567016 26883376958770 43013403134032 53766753917540 86026806268064 107533507835080 215067015670160 430134031340320