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132230462040 = 23355113131919
BaseRepresentation
bin111101100100110001…
…1001011101001011000
3110122022100221110100000
41323021203023221120
54131301444241130
6140425033413000
712360536245065
oct1731143135130
9418270843300
10132230462040
1151095715296
122176386a160
13c614010561
1465857d5c6c
15368da9b260
hex1ec98cba58

132230462040 has 384 divisors, whose sum is σ = 453534681600. Its totient is φ = 34644879360.

The previous prime is 132230462017. The next prime is 132230462069. The reversal of 132230462040 is 40264032231.

132230462040 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 30 + 4 + 620 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 132230461995 and 132230462013.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 143884701 + ... + 143885619.

It is an arithmetic number, because the mean of its divisors is an integer number (1181079900).

Almost surely, 2132230462040 is an apocalyptic number.

132230462040 is a gapful number since it is divisible by the number (10) 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 132230462040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226767340800).

132230462040 is an abundant number, since it is smaller than the sum of its proper divisors (321304219560).

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

132230462040 is a wasteful number, since it uses less digits than its factorization.

132230462040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 132230462040 its reverse (40264032231), we get a palindrome (172494494271).

The spelling of 132230462040 in words is "one hundred thirty-two billion, two hundred thirty million, four hundred sixty-two thousand, forty".