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141132332000 = 2553114178233
BaseRepresentation
bin1000001101110000100…
…1000111101111100000
3111111021202101022020102
42003130021013233200
54303014334111000
6144500231401532
713124251012532
oct2033411075740
9444252338212
10141132332000
1154943581a10
1223428b232a8
131040235322a
146b8bb85852
153a103423d5
hex20dc247be0

141132332000 has 192 divisors, whose sum is σ = 387517411008. Its totient is φ = 50068480000.

The previous prime is 141132331993. The next prime is 141132332053. The reversal of 141132332000 is 233231141.

It is a super-3 number, since 3×1411323320003 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1764884 + ... + 1843116.

It is an arithmetic number, because the mean of its divisors is an integer number (2018319849).

Almost surely, 2141132332000 is an apocalyptic number.

141132332000 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 141132332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193758705504).

141132332000 is an abundant number, since it is smaller than the sum of its proper divisors (246385079008).

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

141132332000 is a wasteful number, since it uses less digits than its factorization.

141132332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78310 (or 78292 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 141132332000 its reverse (233231141), we get a palindrome (141365563141).

The spelling of 141132332000 in words is "one hundred forty-one billion, one hundred thirty-two million, three hundred thirty-two thousand".