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135144641406063 = 3194199076238823
BaseRepresentation
bin11110101110100111010000…
…010110000010010001101111
3122201111200221102110011002110
4132232213100112002101233
5120203202211144443223
61155232331405455103
740315610125141212
oct3656472026022157
9581450842404073
10135144641406063
113a07457a950a03
12131a7b2ab71493
135a54114995253
14255306d76b779
15109565020cd93
hex7ae9d058246f

135144641406063 has 32 divisors (see below), whose sum is σ = 190339033651200. Its totient is φ = 85056904871136.

The previous prime is 135144641405927. The next prime is 135144641406107. The reversal of 135144641406063 is 360604146441531.

It is not a de Polignac number, because 135144641406063 - 214 = 135144641389679 is a prime.

It is a super-3 number, since 3×1351446414060633 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135144641406763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18542470 + ... + 24781292.

It is an arithmetic number, because the mean of its divisors is an integer number (5948094801600).

Almost surely, 2135144641406063 is an apocalyptic number.

135144641406063 is a deficient number, since it is larger than the sum of its proper divisors (55194392245137).

135144641406063 is a wasteful number, since it uses less digits than its factorization.

135144641406063 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6240171.

The product of its (nonzero) digits is 2488320, while the sum is 48.

Adding to 135144641406063 its reverse (360604146441531), we get a palindrome (495748787847594).

The spelling of 135144641406063 in words is "one hundred thirty-five trillion, one hundred forty-four billion, six hundred forty-one million, four hundred six thousand, sixty-three".

Divisors: 1 3 19 57 419 907 1257 2721 7961 17233 23883 51699 380033 1140099 6238823 7220627 18716469 21661881 118537637 355612911 2614066837 5658612461 7842200511 16975837383 49667269903 107513636759 149001809709 322540910277 2370958621159 7112875863477 45048213802021 135144641406063