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414013431412 = 22789331350147
BaseRepresentation
bin1100000011001010001…
…11111001111001110100
31110120122022022110000001
412001211013321321310
523240344414301122
6514110052401044
741624432050120
oct6014507717164
91416568273001
10414013431412
1114a644874879
12682a4316184
133006c9708a9
1416077374580
15ab81cd1527
hex60651f9e74

414013431412 has 48 divisors (see below), whose sum is σ = 837599978880. Its totient is φ = 175384230912.

The previous prime is 414013431389. The next prime is 414013431421. The reversal of 414013431412 is 214134310414.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8230923 + ... + 8281069.

It is an arithmetic number, because the mean of its divisors is an integer number (17449999560).

Almost surely, 2414013431412 is an apocalyptic number.

It is an amenable number.

414013431412 is an abundant number, since it is smaller than the sum of its proper divisors (423586547468).

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

414013431412 is a wasteful number, since it uses less digits than its factorization.

414013431412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53560 (or 53558 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 414013431412 its reverse (214134310414), we get a palindrome (628147741826).

The spelling of 414013431412 in words is "four hundred fourteen billion, thirteen million, four hundred thirty-one thousand, four hundred twelve".

Divisors: 1 2 4 7 14 28 89 178 356 623 1246 2492 3313 6626 13252 23191 46382 50147 92764 100294 200588 294857 351029 589714 702058 1179428 1404116 2063999 4127998 4463083 8255996 8926166 17852332 31241581 62483162 124966324 166137011 332274022 664548044 1162959077 2325918154 4651836308 14786193979 29572387958 59144775916 103503357853 207006715706 414013431412