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142210211976 = 23337543911
BaseRepresentation
bin1000010001110001100…
…0111010000010001000
3111121001212121021121000
42010130120322002020
54312221303240401
6145155214215000
713163046600000
oct2043430720210
9447055537530
10142210211976
1155346a59108
1223689ab4460
131054475a831
146c50da7000
153a74ca9186
hex211c63a088

142210211976 has 384 divisors, whose sum is σ = 472097894400. Its totient is φ = 39643007040.

The previous prime is 142210211971. The next prime is 142210212059. The reversal of 142210211976 is 679112012241.

142210211976 is a `hidden beast` number, since 1 + 422 + 10 + 211 + 9 + 7 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 142210211976.

It is not an unprimeable number, because it can be changed into a prime (142210211971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 156102961 + ... + 156103871.

It is an arithmetic number, because the mean of its divisors is an integer number (1229421600).

Almost surely, 2142210211976 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 142210211976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236048947200).

142210211976 is an abundant number, since it is smaller than the sum of its proper divisors (329887682424).

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

142210211976 is an frugal number, since it uses more digits than its factorization.

142210211976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 142210211976 in words is "one hundred forty-two billion, two hundred ten million, two hundred eleven thousand, nine hundred seventy-six".