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141219822120 = 233513178364157
BaseRepresentation
bin1000001110000101011…
…0110111101000101000
3111111111212000021010020
42003201112313220220
54303204233301440
6144513034520440
713126362453006
oct2034126675050
9444455007106
10141219822120
11549889a95a3
1223452296120
1310417506930
146b9963ba76
153a17d753d0
hex20e15b7a28

141219822120 has 256 divisors, whose sum is σ = 488914755840. Its totient is φ = 32322306048.

The previous prime is 141219822101. The next prime is 141219822167. The reversal of 141219822120 is 21228912141.

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 63 ways as a sum of consecutive naturals, for example, 2169082 + ... + 2233238.

It is an arithmetic number, because the mean of its divisors is an integer number (1909823265).

Almost surely, 2141219822120 is an apocalyptic number.

141219822120 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 141219822120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244457377920).

141219822120 is an abundant number, since it is smaller than the sum of its proper divisors (347694933720).

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

141219822120 is a wasteful number, since it uses less digits than its factorization.

141219822120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64284 (or 64280 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The spelling of 141219822120 in words is "one hundred forty-one billion, two hundred nineteen million, eight hundred twenty-two thousand, one hundred twenty".