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235431413221140 = 223251307952295673
BaseRepresentation
bin110101100001111110100101…
…110000010000011100010100
31010212121000121222112021210100
4311201332211300100130110
5221324302013241034030
62152415410443454100
7100406233615445253
oct6541764560203424
91125530558467710
10235431413221140
11690199a1096244
12224a4227b27330
13a14a1191c3026
14421cd2691879a
151c341a0bb4360
hexd61fa5c10714

235431413221140 has 36 divisors (see below), whose sum is σ = 714141953438004. Its totient is φ = 62781710192256.

The previous prime is 235431413221133. The next prime is 235431413221187. The reversal of 235431413221140 is 41122314134532.

235431413221140 is a `hidden beast` number, since 2 + 3 + 5 + 4 + 3 + 1 + 413 + 221 + 14 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 174144497889924 + 61286915331216 = 13196382^2 + 7828596^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 235431413221095 and 235431413221104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 653976147657 + ... + 653976148016.

It is an arithmetic number, because the mean of its divisors is an integer number (19837276484389).

Almost surely, 2235431413221140 is an apocalyptic number.

235431413221140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

235431413221140 is an abundant number, since it is smaller than the sum of its proper divisors (478710540216864).

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

235431413221140 is a wasteful number, since it uses less digits than its factorization.

235431413221140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1307952295688 (or 1307952295683 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 235431413221140 its reverse (41122314134532), we get a palindrome (276553727355672).

The spelling of 235431413221140 in words is "two hundred thirty-five trillion, four hundred thirty-one billion, four hundred thirteen million, two hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1307952295673 2615904591346 3923856887019 5231809182692 6539761478365 7847713774038 11771570661057 13079522956730 15695427548076 19619284435095 23543141322114 26159045913460 39238568870190 47086282644228 58857853305285 78477137740380 117715706610570 235431413221140