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235643372140 = 225115918154343
BaseRepresentation
bin1101101101110101110…
…0001000001001101100
3211112020101120121002111
43123131130020021230
512330044200402030
6300130355133404
723011314420601
oct3333534101154
9745211517074
10235643372140
1190a325a4250
12398045a4264
13192b4916117
14b595c246a8
1561e273d62a
hex36dd70826c

235643372140 has 48 divisors (see below), whose sum is σ = 548987362560. Its totient is φ = 84236146880.

The previous prime is 235643372113. The next prime is 235643372149. The reversal of 235643372140 is 41273346532.

235643372140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 235643372093 and 235643372102.

It is not an unprimeable number, because it can be changed into a prime (235643372149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9064192 + ... + 9090151.

It is an arithmetic number, because the mean of its divisors is an integer number (11437236720).

Almost surely, 2235643372140 is an apocalyptic number.

235643372140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

235643372140 is an abundant number, since it is smaller than the sum of its proper divisors (313343990420).

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

235643372140 is a wasteful number, since it uses less digits than its factorization.

235643372140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18154422 (or 18154420 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 40.

The spelling of 235643372140 in words is "two hundred thirty-five billion, six hundred forty-three million, three hundred seventy-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 59 110 118 220 236 295 590 649 1180 1298 2596 3245 6490 12980 18154343 36308686 72617372 90771715 181543430 199697773 363086860 399395546 798791092 998488865 1071106237 1996977730 2142212474 3993955460 4284424948 5355531185 10711062370 11782168607 21422124740 23564337214 47128674428 58910843035 117821686070 235643372140