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142943117220 = 22325172343149317
BaseRepresentation
bin1000010100100000010…
…0101101111110100100
3111122221221200201120200
42011020010231332210
54320221414222340
6145400035030500
713220156306661
oct2051004557644
9448857621520
10142943117220
1155692732722
122385343b430
131063054b387
146cc0468a68
153ab92cb330
hex214812dfa4

142943117220 has 576 divisors, whose sum is σ = 495048153600. Its totient is φ = 33188069376.

The previous prime is 142943117201. The next prime is 142943117227. The reversal of 142943117220 is 22711349241.

142943117220 is a `hidden beast` number, since 1 + 429 + 4 + 3 + 1 + 1 + 7 + 220 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (142943117227) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 450924502 + ... + 450924818.

It is an arithmetic number, because the mean of its divisors is an integer number (859458600).

Almost surely, 2142943117220 is an apocalyptic number.

142943117220 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 142943117220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247524076800).

142943117220 is an abundant number, since it is smaller than the sum of its proper divisors (352105036380).

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

142943117220 is a wasteful number, since it uses less digits than its factorization.

142943117220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 142943117220 in words is "one hundred forty-two billion, nine hundred forty-three million, one hundred seventeen thousand, two hundred twenty".