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414141431334 = 231427325714851
BaseRepresentation
bin1100000011011001100…
…00001011111000100110
31110120222020011111212220
412001230300023320212
523241130201300314
6514130504053210
741630545040541
oct6015460137046
91416866144786
10414141431334
1114a700050034
126831b164206
1330090338ba7
141608a373858
15ab8d1673a9
hex606cc0be26

414141431334 has 32 divisors (see below), whose sum is σ = 829173614976. Its totient is φ = 137898763200.

The previous prime is 414141431293. The next prime is 414141431359. The reversal of 414141431334 is 433134141414.

It is a junction number, because it is equal to n+sod(n) for n = 414141431295 and 414141431304.

It is a congruent number.

It is an unprimeable number.

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, 27879009 + ... + 27893859.

It is an arithmetic number, because the mean of its divisors is an integer number (25911675468).

Almost surely, 2414141431334 is an apocalyptic number.

414141431334 is an abundant number, since it is smaller than the sum of its proper divisors (415032183642).

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

414141431334 is a wasteful number, since it uses less digits than its factorization.

414141431334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19540.

The product of its digits is 27648, while the sum is 33.

Adding to 414141431334 its reverse (433134141414), we get a palindrome (847275572748).

The spelling of 414141431334 in words is "four hundred fourteen billion, one hundred forty-one million, four hundred thirty-one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 1427 2854 3257 4281 6514 8562 9771 14851 19542 29702 44553 89106 4647739 9295478 13943217 21192377 27886434 42384754 48369707 63577131 96739414 127154262 145109121 290218242 69023571889 138047143778 207070715667 414141431334