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34036542414 = 2337432094041
BaseRepresentation
bin11111101100101111…
…000110101111001110
310020212001202111121000
4133230233012233032
51024201323324124
623345225121130
72313312560040
oct375457065716
9106761674530
1034036542414
11134868170a6
12671a9291a6
13329573c634
14190c591a90
15d431bb6c9
hex7ecbc6bce

34036542414 has 64 divisors (see below), whose sum is σ = 88452334080. Its totient is φ = 9498565440.

The previous prime is 34036542409. The next prime is 34036542443. The reversal of 34036542414 is 41424563043.

34036542414 is a `hidden beast` number, since 3 + 40 + 36 + 542 + 41 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1030767 + ... + 1063274.

It is an arithmetic number, because the mean of its divisors is an integer number (1382067720).

Almost surely, 234036542414 is an apocalyptic number.

34036542414 is an abundant number, since it is smaller than the sum of its proper divisors (54415791666).

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

34036542414 is a wasteful number, since it uses less digits than its factorization.

34036542414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2094102 (or 2094096 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 34036542414 in words is "thirty-four billion, thirty-six million, five hundred forty-two thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 43 54 63 86 126 129 189 258 301 378 387 602 774 903 1161 1806 2322 2709 5418 8127 16254 2094041 4188082 6282123 12564246 14658287 18846369 29316574 37692738 43974861 56539107 87949722 90043763 113078214 131924583 180087526 263849166 270131289 395773749 540262578 630306341 791547498 810393867 1260612682 1620787734 1890919023 2431181601 3781838046 4862363202 5672757069 11345514138 17018271207 34036542414