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434001130120 = 23581973132361
BaseRepresentation
bin1100101000011000111…
…10111011001010001000
31112111020021200202001101
412110030132323022020
524102313242130440
6531213302231144
743232644511155
oct6241436731210
91474207622041
10434001130120
11158071361738
12701421254b4
1331c0692c34c
1417011b7722c
15b45191c69a
hex650c7bb288

434001130120 has 32 divisors (see below), whose sum is σ = 976521832920. Its totient is φ = 173597022720.

The previous prime is 434001130109. The next prime is 434001130127. The reversal of 434001130120 is 21031100434.

It can be written as a sum of positive squares in 4 ways, for example, as 352002516804 + 81998613316 = 593298^2 + 286354^2 .

It is not an unprimeable number, because it can be changed into a prime (434001130127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3212740 + ... + 3345100.

Almost surely, 2434001130120 is an apocalyptic number.

434001130120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434001130120 is an abundant number, since it is smaller than the sum of its proper divisors (542520702800).

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

434001130120 is a wasteful number, since it uses less digits than its factorization.

434001130120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214345 (or 214341 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 434001130120 its reverse (21031100434), we get a palindrome (455032230554).

The spelling of 434001130120 in words is "four hundred thirty-four billion, one million, one hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 81973 132361 163946 264722 327892 409865 529444 655784 661805 819730 1058888 1323610 1639460 2647220 3278920 5294440 10850028253 21700056506 43400113012 54250141265 86800226024 108500282530 217000565060 434001130120