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34114351452030 = 2325794798080373
BaseRepresentation
bin1111100000110110111011…
…10011001100111101111110
311110210022002210211002210100
413300123131303030331332
513432412142432431110
6200315530001421530
710120452300612003
oct760333563147576
9143708083732710
1034114351452030
11a9628a7043083
1239ab70b33a8a6
131605c7b0ca365
1485d20178b8aa
153e25d4dc5bc0
hex1f06ddcccf7e

34114351452030 has 48 divisors (see below), whose sum is σ = 89820064601280. Its totient is φ = 8982006456384.

The previous prime is 34114351452001. The next prime is 34114351452073. The reversal of 34114351452030 is 3025415341143.

34114351452030 is a `hidden beast` number, since 3 + 4 + 1 + 1 + 435 + 14 + 5 + 203 + 0 = 666.

It is a super-2 number, since 2×341143514520302 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2399033077 + ... + 2399047296.

It is an arithmetic number, because the mean of its divisors is an integer number (1871251345860).

Almost surely, 234114351452030 is an apocalyptic number.

34114351452030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34114351452030 is an abundant number, since it is smaller than the sum of its proper divisors (55705713149250).

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

34114351452030 is a wasteful number, since it uses less digits than its factorization.

34114351452030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4798080465 (or 4798080462 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 34114351452030 its reverse (3025415341143), we get a palindrome (37139766793173).

The spelling of 34114351452030 in words is "thirty-four trillion, one hundred fourteen billion, three hundred fifty-one million, four hundred fifty-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 79 90 158 237 395 474 711 790 1185 1422 2370 3555 7110 4798080373 9596160746 14394241119 23990401865 28788482238 43182723357 47980803730 71971205595 86365446714 143942411190 215913616785 379048349467 431827233570 758096698934 1137145048401 1895241747335 2274290096802 3411435145203 3790483494670 5685725242005 6822870290406 11371450484010 17057175726015 34114351452030