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34240041561654 = 23217599186803941
BaseRepresentation
bin1111100100100001000011…
…00000111010111000110110
311111020022112100221020021200
413302100201200322320312
513441442101114433104
6200453354040553330
710132522102121205
oct762204140727066
9144208470836250
1034240041561654
11aa01135909835
123a0bb48782846
131614a8c0cb9a6
148653266b723c
153e59de69eb39
hex1f242183ae36

34240041561654 has 48 divisors (see below), whose sum is σ = 78681820370400. Its totient is φ = 10724040587520.

The previous prime is 34240041561619. The next prime is 34240041561731. The reversal of 34240041561654 is 45616514004243.

34240041561654 is a `hidden beast` number, since 3 + 4 + 2 + 40 + 0 + 41 + 561 + 6 + 5 + 4 = 666.

It is a super-2 number, since 2×342400415616542 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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, 93218677 + ... + 93585264.

It is an arithmetic number, because the mean of its divisors is an integer number (1639204591050).

Almost surely, 234240041561654 is an apocalyptic number.

34240041561654 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

34240041561654 is an abundant number, since it is smaller than the sum of its proper divisors (44441778808746).

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

34240041561654 is a wasteful number, since it uses less digits than its factorization.

34240041561654 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186804565 (or 186804562 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

Adding to 34240041561654 its reverse (45616514004243), we get a palindrome (79856555565897).

The spelling of 34240041561654 in words is "thirty-four trillion, two hundred forty billion, forty-one million, five hundred sixty-one thousand, six hundred fifty-four".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 599 1198 1797 3594 5391 10183 10782 20366 30549 61098 91647 183294 186803941 373607882 560411823 1120823646 1681235469 3175666997 3362470938 6351333994 9527000991 19054001982 28581002973 57162005946 111895560659 223791121318 335686681977 671373363954 1007060045931 1902224531203 2014120091862 3804449062406 5706673593609 11413347187218 17120020780827 34240041561654