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3454391875941 = 323744937276199
BaseRepresentation
bin110010010001001001110…
…011001111100101100101
3110020020101111202020020200
4302101021303033211211
5423044043310012231
611202531542221113
7504400023321636
oct62211163174545
913206344666220
103454391875941
111111aaa181566
12479598a24799
131c0994a88206
14bd29cbcb88d
155eccb363be6
hex32449ccf965

3454391875941 has 48 divisors (see below), whose sum is σ = 5138153280000. Its totient is φ = 2234735806464.

The previous prime is 3454391875933. The next prime is 3454391875951. The reversal of 3454391875941 is 1495781934543.

3454391875941 is a `hidden beast` number, since 3 + 4 + 5 + 4 + 39 + 1 + 8 + 7 + 594 + 1 = 666.

3454391875941 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3454391875941 - 23 = 3454391875933 is a prime.

It is a super-2 number, since 2×34543918759412 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3454391875901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 557246760 + ... + 557252958.

It is an arithmetic number, because the mean of its divisors is an integer number (107044860000).

Almost surely, 23454391875941 is an apocalyptic number.

It is an amenable number.

3454391875941 is a deficient number, since it is larger than the sum of its proper divisors (1683761404059).

3454391875941 is a wasteful number, since it uses less digits than its factorization.

3454391875941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10418 (or 10415 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 63.

The spelling of 3454391875941 in words is "three trillion, four hundred fifty-four billion, three hundred ninety-one million, eight hundred seventy-five thousand, nine hundred forty-one".

Divisors: 1 3 9 37 111 333 449 1347 3727 4041 6199 11181 16613 18597 33543 49839 55791 137899 149517 229363 413697 688089 1241091 1673423 2064267 2783351 5020269 8350053 15060807 23103673 25050159 61916651 69311019 102983987 185749953 207933057 308951961 557249859 854835901 926855883 2564507703 7693523109 10373549177 31120647531 93361942593 383821319549 1151463958647 3454391875941