Search a number
-
+
141130330000 = 24541110112703
BaseRepresentation
bin1000001101110000000…
…1011110111110010000
3111111021121121121000021
42003130001132332100
54303013331030000
6144500120433224
713124225004022
oct2033401367620
9444247547007
10141130330000
1154942434870
1223428318814
1310401b01c0a
146b8b7c4012
153a1009911a
hex20dc05ef90

141130330000 has 200 divisors, whose sum is σ = 376473689856. Its totient is φ = 50808000000.

The previous prime is 141130329979. The next prime is 141130330031. The reversal of 141130330000 is 33031141.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (16).

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 39 ways as a sum of consecutive naturals, for example, 11103649 + ... + 11116351.

Almost surely, 2141130330000 is an apocalyptic number.

141130330000 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 141130330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188236844928).

141130330000 is an abundant number, since it is smaller than the sum of its proper divisors (235343359856).

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

141130330000 is a wasteful number, since it uses less digits than its factorization.

141130330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12843 (or 12822 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 141130330000 its reverse (33031141), we get a palindrome (141163361141).

The spelling of 141130330000 in words is "one hundred forty-one billion, one hundred thirty million, three hundred thirty thousand".