Search a number
-
+
132411211044 = 223767179131437
BaseRepresentation
bin111101101010001010…
…0101011110100100100
3110122202222001110100120
41323110110223310210
54132134232223134
6140455011441540
712365162503110
oct1732424536444
9418688043316
10132411211044
1151178749732
12217b42b62b0
13c6425b7328
1465a1806740
15369e8a1649
hex1ed452bd24

132411211044 has 96 divisors (see below), whose sum is σ = 360371450880. Its totient is φ = 37058643072.

The previous prime is 132411211021. The next prime is 132411211057. The reversal of 132411211044 is 440112114231.

It is a happy number.

132411211044 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 941694 + ... + 1073130.

It is an arithmetic number, because the mean of its divisors is an integer number (3753869280).

Almost surely, 2132411211044 is an apocalyptic number.

132411211044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132411211044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180185725440).

132411211044 is an abundant number, since it is smaller than the sum of its proper divisors (227960239836).

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

132411211044 is a wasteful number, since it uses less digits than its factorization.

132411211044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131697 (or 131695 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 132411211044 its reverse (440112114231), we get a palindrome (572523325275).

The spelling of 132411211044 in words is "one hundred thirty-two billion, four hundred eleven million, two hundred eleven thousand, forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 67 84 134 179 201 268 358 402 469 537 716 804 938 1074 1253 1407 1876 2148 2506 2814 3759 5012 5628 7518 11993 15036 23986 35979 47972 71958 83951 131437 143916 167902 251853 262874 335804 394311 503706 525748 788622 920059 1007412 1577244 1840118 2760177 3680236 5520354 8806279 11040708 17612558 23527223 26418837 35225116 47054446 52837674 61643953 70581669 94108892 105675348 123287906 141163338 164690561 184931859 246575812 282326676 329381122 369863718 494071683 658762244 739727436 988143366 1576323941 1976286732 3152647882 4728971823 6305295764 9457943646 11034267587 18915887292 22068535174 33102802761 44137070348 66205605522 132411211044