Search a number
-
+
133043022432 = 25324157111127
BaseRepresentation
bin111101111100111111…
…0110110101001100000
3110201101222220210122100
41323321332312221200
54134433003204212
6141041421410400
712416634013605
oct1737176665140
9421358823570
10133043022432
1151472354a01
122194ba09a00
13c713470518
1466216b06ac
1536da0a4bdc
hex1ef9fb6a60

133043022432 has 72 divisors (see below), whose sum is σ = 378435513456. Its totient is φ = 44336606976.

The previous prime is 133043022407. The next prime is 133043022467. The reversal of 133043022432 is 234220340331.

133043022432 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 430 + 224 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 133043022396 and 133043022405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1141653 + ... + 1252779.

It is an arithmetic number, because the mean of its divisors is an integer number (5256048798).

Almost surely, 2133043022432 is an apocalyptic number.

133043022432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133043022432 is an abundant number, since it is smaller than the sum of its proper divisors (245392491024).

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

133043022432 is a wasteful number, since it uses less digits than its factorization.

133043022432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115300 (or 115289 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 133043022432 its reverse (234220340331), we get a palindrome (367263362763).

The spelling of 133043022432 in words is "one hundred thirty-three billion, forty-three million, twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 4157 8314 12471 16628 24942 33256 37413 49884 66512 74826 99768 111127 133024 149652 199536 222254 299304 333381 399072 444508 598608 666762 889016 1000143 1197216 1333524 1778032 2000286 2667048 3556064 4000572 5334096 8001144 10668192 16002288 32004576 461954939 923909878 1385864817 1847819756 2771729634 3695639512 4157594451 5543459268 7391279024 8315188902 11086918536 14782558048 16630377804 22173837072 33260755608 44347674144 66521511216 133043022432