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414221122414 = 211192350218581
BaseRepresentation
bin1100000011100011000…
…00001011101101101110
31110121011210010020111101
412001301200023231232
523241311101404124
6514142432113314
741632533306211
oct6016140135556
91417153106441
10414221122414
1114a741030130
126834199583a
13300a39bb788
1416096b99778
15ab95159644
hex607180bb6e

414221122414 has 64 divisors (see below), whose sum is σ = 744747333120. Its totient is φ = 170563536000.

The previous prime is 414221122387. The next prime is 414221122451.

414221122414 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48267604 + ... + 48276184.

It is an arithmetic number, because the mean of its divisors is an integer number (11636677080).

Almost surely, 2414221122414 is an apocalyptic number.

414221122414 is a deficient number, since it is larger than the sum of its proper divisors (330526210706).

414221122414 is a wasteful number, since it uses less digits than its factorization.

414221122414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13657.

The product of its digits is 4096, while the sum is 28.

It can be divided in two parts, 414221 and 122414, that added together give a palindrome (536635).

The spelling of 414221122414 in words is "four hundred fourteen billion, two hundred twenty-one million, one hundred twenty-two thousand, four hundred fourteen".

Divisors: 1 2 11 19 22 23 38 46 209 253 418 437 506 874 4807 5021 8581 9614 10042 17162 55231 94391 95399 110462 115483 163039 188782 190798 197363 230966 326078 394726 1049389 1270313 1793429 2098778 2170993 2194177 2540626 3586858 3749897 4341986 4388354 7499794 24135947 41248867 43085201 48271894 82497734 86170402 473937211 818618819 947874422 990959623 1637237638 1981919246 9004807009 10900555853 18009614018 18828232837 21801111706 37656465674 207110561207 414221122414