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434401113132 = 22337574604647
BaseRepresentation
bin1100101001001000101…
…00101111010000101100
31112112021011022222121000
412110210110233100230
524104123141110012
6531321111240300
743245602352330
oct6244424572054
91475234288530
10434401113132
11158257115908
1270234079090
1331c6b765c9c
141704cd357c0
15b476acaddc
hex652452f42c

434401113132 has 48 divisors (see below), whose sum is σ = 1287114411520. Its totient is φ = 124114603536.

The previous prime is 434401113131. The next prime is 434401113149. The reversal of 434401113132 is 231311104434.

434401113132 is a `hidden beast` number, since 4 + 344 + 0 + 1 + 1 + 1 + 313 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 434401113096 and 434401113105.

It is not an unprimeable number, because it can be changed into a prime (434401113131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 287301568 + ... + 287303079.

Almost surely, 2434401113132 is an apocalyptic number.

434401113132 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

434401113132 is an abundant number, since it is smaller than the sum of its proper divisors (852713298388).

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

434401113132 is a wasteful number, since it uses less digits than its factorization.

434401113132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574604667 (or 574604659 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 434401113132 its reverse (231311104434), we get a palindrome (665712217566).

The spelling of 434401113132 in words is "four hundred thirty-four billion, four hundred one million, one hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 574604647 1149209294 1723813941 2298418588 3447627882 4022232529 5171441823 6895255764 8044465058 10342883646 12066697587 15514325469 16088930116 20685767292 24133395174 31028650938 36200092761 48266790348 62057301876 72400185522 108600278283 144800371044 217200556566 434401113132