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461400234135 = 352353180114011
BaseRepresentation
bin1101011011011011001…
…10001101100010010111
31122002221202221102212120
412231231212031202113
530024421424443020
6551544144151023
745222633164661
oct6555546154227
91562852842776
10461400234135
11168751449055
127550a008473
13346821c9729
14184909c9531
15c00703a740
hex6b6d98d897

461400234135 has 64 divisors (see below), whose sum is σ = 785364304896. Its totient is φ = 230795136000.

The previous prime is 461400234133. The next prime is 461400234179. The reversal of 461400234135 is 531432004164.

It is a happy number.

It is not a de Polignac number, because 461400234135 - 21 = 461400234133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 461400234096 and 461400234105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461400234133) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32924280 + ... + 32938290.

It is an arithmetic number, because the mean of its divisors is an integer number (12271317264).

Almost surely, 2461400234135 is an apocalyptic number.

461400234135 is a deficient number, since it is larger than the sum of its proper divisors (323964070761).

461400234135 is a wasteful number, since it uses less digits than its factorization.

461400234135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15896.

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 461400234135 its reverse (531432004164), we get a palindrome (992832238299).

The spelling of 461400234135 in words is "four hundred sixty-one billion, four hundred million, two hundred thirty-four thousand, one hundred thirty-five".

Divisors: 1 3 5 15 23 53 69 115 159 265 345 795 1219 1801 3657 5403 6095 9005 14011 18285 27015 41423 42033 70055 95453 124269 207115 210165 286359 322253 477265 621345 742583 966759 1431795 1611265 2195419 2227749 3712915 4833795 6586257 10977095 11138745 17079409 25233811 32931285 51238227 75701433 85397045 126169055 256191135 378507165 580377653 1337391983 1741132959 2901888265 4012175949 6686959915 8705664795 20060879745 30760015609 92280046827 153800078045 461400234135