Search a number
-
+
332041441423032 = 233311244928294813
BaseRepresentation
bin100101101111111010110110…
…0001010101010111010111000
31121112122211222221211121111000
41023133311230022222322320
5322010131333001014112
63134105422110005000
7126640126312023555
oct11337655412527270
91545584887747430
10332041441423032
1196886a91420900
12312a7a32aa6760
13113374b1980903
145bdcc6a455a2c
15285c25e9257dc
hex12dfd6c2aaeb8

332041441423032 has 192 divisors, whose sum is σ = 1016066770740000. Its totient is φ = 100394520145920.

The previous prime is 332041441422881. The next prime is 332041441423079. The reversal of 332041441423032 is 230324144140233.

332041441423032 is a `hidden beast` number, since 3 + 3 + 2 + 0 + 4 + 1 + 4 + 414 + 230 + 3 + 2 = 666.

It is a super-2 number, since 2×3320414414230322 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2412343 + ... + 25882470.

Almost surely, 2332041441423032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332041441423032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508033385370000).

332041441423032 is an abundant number, since it is smaller than the sum of its proper divisors (684025329316968).

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

332041441423032 is a wasteful number, since it uses less digits than its factorization.

332041441423032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28295299 (or 28295278 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 332041441423032 its reverse (230324144140233), we get a palindrome (562365585563265).

The spelling of 332041441423032 in words is "three hundred thirty-two trillion, forty-one billion, four hundred forty-one million, four hundred twenty-three thousand, thirty-two".