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414030414422034 = 232111593098366529
BaseRepresentation
bin101111000100011101111011…
…1110001110010000000010010
32000021221220212110021210102200
41132020323313301302000102
5413231433242043001114
64024322540244424030
7153131465431531314
oct13610736761620022
92007856773253380
10414030414422034
1110aa17349210763
123a529a500a8016
1314a03b92687917
14743527119b7b4
1532ced34217409
hex1788ef7c72012

414030414422034 has 48 divisors (see below), whose sum is σ = 897188728924800. Its totient is φ = 137991242366208.

The previous prime is 414030414421931. The next prime is 414030414422173. The reversal of 414030414422034 is 430224414030414.

414030414422034 is a `hidden beast` number, since 4 + 1 + 4 + 0 + 3 + 0 + 4 + 1 + 442 + 203 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 414030414422034.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6223274082 + ... + 6223340610.

It is an arithmetic number, because the mean of its divisors is an integer number (18691431852600).

Almost surely, 2414030414422034 is an apocalyptic number.

414030414422034 is an abundant number, since it is smaller than the sum of its proper divisors (483158314502766).

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

414030414422034 is a wasteful number, since it uses less digits than its factorization.

414030414422034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108679 (or 108676 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 414030414422034 its reverse (430224414030414), we get a palindrome (844254828452448).

The spelling of 414030414422034 in words is "four hundred fourteen trillion, thirty billion, four hundred fourteen million, four hundred twenty-two thousand, thirty-four".

Divisors: 1 2 3 6 9 18 11159 22318 30983 33477 61966 66529 66954 92949 100431 133058 185898 199587 200862 278847 399174 557694 598761 1197522 345739297 691478594 742397111 1037217891 1484794222 2061268007 2074435782 2227191333 3111653673 4122536014 4454382666 6183804021 6223307346 6681573999 12367608042 13363147998 18551412063 37102824126 23001689690113 46003379380226 69005069070339 138010138140678 207015207211017 414030414422034