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235013136444 = 223237317501723
BaseRepresentation
bin1101101011011111011…
…1111110000000111100
3211110121110200022020200
43122313313332000330
512322301330331234
6255544043043500
722656562462002
oct3326767760074
9743543608220
10235013136444
11907398748a9
1239669510590
13192141921a8
14b53624aa72
1561a724bd99
hex36b7dfe03c

235013136444 has 36 divisors (see below), whose sum is σ = 595653674616. Its totient is φ = 78127687008.

The previous prime is 235013136433. The next prime is 235013136461. The reversal of 235013136444 is 444631310532.

235013136444 is a `hidden beast` number, since 2 + 3 + 5 + 0 + 1 + 3 + 1 + 3 + 644 + 4 = 666.

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

It is a super-3 number, since 3×2350131364443 (a number of 35 digits) contains 333 as substring.

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 = 235013136399 and 235013136408.

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, 8737434 + ... + 8764289.

It is an arithmetic number, because the mean of its divisors is an integer number (16545935406).

Almost surely, 2235013136444 is an apocalyptic number.

It is an amenable number.

235013136444 is an abundant number, since it is smaller than the sum of its proper divisors (360640538172).

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

235013136444 is a wasteful number, since it uses less digits than its factorization.

235013136444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17502106 (or 17502101 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 235013136444 its reverse (444631310532), we get a palindrome (679644446976).

The spelling of 235013136444 in words is "two hundred thirty-five billion, thirteen million, one hundred thirty-six thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 373 746 1119 1492 2238 3357 4476 6714 13428 17501723 35003446 52505169 70006892 105010338 157515507 210020676 315031014 630062028 6528142679 13056285358 19584428037 26112570716 39168856074 58753284111 78337712148 117506568222 235013136444