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142491859848 = 2332133121571009
BaseRepresentation
bin1000010010110100101…
…1010011101110001000
3111121210111120110211200
42010231023103232020
54313310404003343
6145243155024200
713203036552552
oct2045513235610
9447714513750
10142491859848
1155480a38348
122374829b060
131058ac01290
146c7a5604d2
153a8e8904d3
hex212d2d3b88

142491859848 has 288 divisors, whose sum is σ = 432603826200. Its totient is φ = 42117304320.

The previous prime is 142491859847. The next prime is 142491859883. The reversal of 142491859848 is 848958194241.

142491859848 is a `hidden beast` number, since 1 + 4 + 24 + 9 + 18 + 598 + 4 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 70054443684 + 72437416164 = 264678^2 + 269142^2 .

It is not an unprimeable number, because it can be changed into a prime (142491859841) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 141220368 + ... + 141221376.

Almost surely, 2142491859848 is an apocalyptic number.

142491859848 is a gapful number since it is divisible by the number (18) 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 142491859848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216301913100).

142491859848 is an abundant number, since it is smaller than the sum of its proper divisors (290111966352).

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

142491859848 is a wasteful number, since it uses less digits than its factorization.

142491859848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1215 counting only the distinct ones).

The product of its digits is 26542080, while the sum is 63.

The spelling of 142491859848 in words is "one hundred forty-two billion, four hundred ninety-one million, eight hundred fifty-nine thousand, eight hundred forty-eight".