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4130433414 = 232475983997
BaseRepresentation
bin1111011000110001…
…0110100110000110
3101122212010202110100
43312030112212012
531424342332124
61521505304530
7204233050632
oct36614264606
911585122410
104130433414
11182a581838
12973335146
1350a95c553
142b27c7dc2
1519293c1c9
hexf6316986

4130433414 has 96 divisors (see below), whose sum is σ = 9416010240. Its totient is φ = 1307405376.

The previous prime is 4130433409. The next prime is 4130433421. The reversal of 4130433414 is 4143340314.

4130433414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4142364 + ... + 4143360.

It is an arithmetic number, because the mean of its divisors is an integer number (98083440).

Almost surely, 24130433414 is an apocalyptic number.

4130433414 is an abundant number, since it is smaller than the sum of its proper divisors (5285576826).

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

4130433414 is a wasteful number, since it uses less digits than its factorization.

4130433414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 4130433414 is about 64268.4480441219. The cubic root of 4130433414 is about 1604.4710120923.

Adding to 4130433414 its reverse (4143340314), we get a palindrome (8273773728).

The spelling of 4130433414 in words is "four billion, one hundred thirty million, four hundred thirty-three thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 47 59 83 94 118 141 166 177 249 282 354 423 498 531 747 846 997 1062 1494 1994 2773 2991 3901 4897 5546 5982 7802 8319 8973 9794 11703 14691 16638 17946 23406 24957 29382 35109 44073 46859 49914 58823 70218 82751 88146 93718 117646 140577 165502 176469 230159 248253 281154 352938 421731 460318 496506 529407 690477 744759 843462 1058814 1380954 1489518 2071431 2764681 3889297 4142862 4882309 5529362 7778594 8294043 9764618 11667891 14646927 16588086 23335782 24882129 29293854 35003673 43940781 49764258 70007346 87881562 229468523 458937046 688405569 1376811138 2065216707 4130433414