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414422432430 = 23519727056899
BaseRepresentation
bin1100000011111011000…
…00000111101010101110
31110121200210220211220220
412001331200013222232
523242214120314210
6514214422552210
741640526360656
oct6017540075256
91417623824826
10414422432430
1114a834728346
1268399298666
1330106614126
14160b57dd366
15aba7b71c70
hex607d807aae

414422432430 has 32 divisors (see below), whose sum is σ = 1046961936000. Its totient is φ = 104696193312.

The previous prime is 414422432423. The next prime is 414422432491. The reversal of 414422432430 is 34234224414.

It is a junction number, because it is equal to n+sod(n) for n = 414422432391 and 414422432400.

It is a congruent number.

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, 363527880 + ... + 363529019.

It is an arithmetic number, because the mean of its divisors is an integer number (32717560500).

Almost surely, 2414422432430 is an apocalyptic number.

414422432430 is an abundant number, since it is smaller than the sum of its proper divisors (632539503570).

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

414422432430 is a wasteful number, since it uses less digits than its factorization.

414422432430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727056928.

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 414422432430 its reverse (34234224414), we get a palindrome (448656656844).

The spelling of 414422432430 in words is "four hundred fourteen billion, four hundred twenty-two million, four hundred thirty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 570 727056899 1454113798 2181170697 3635284495 4362341394 7270568990 10905853485 13814081081 21811706970 27628162162 41442243243 69070405405 82884486486 138140810810 207211216215 414422432430