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142982599680 = 210355412803
BaseRepresentation
bin1000010100101001101…
…1010101010000000000
3111200001200222122100000
42011022123111100000
54320312021142210
6145404005200000
713221146021124
oct2051233252000
9450050878300
10142982599680
1155702a4a458
1223864700000
131063879348b
146cc57c5584
153abc9c9ac0
hex214a6d5400

142982599680 has 528 divisors, whose sum is σ = 526499273664. Its totient is φ = 37185454080.

The previous prime is 142982599673. The next prime is 142982599681. The reversal of 142982599680 is 86995289241.

142982599680 is a `hidden beast` number, since 1 + 4 + 298 + 259 + 96 + 8 + 0 = 666.

It is a super-2 number, since 2×1429825996802 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142982599681) 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 47 ways as a sum of consecutive naturals, for example, 51009159 + ... + 51011961.

Almost surely, 2142982599680 is an apocalyptic number.

142982599680 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 142982599680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263249636832).

142982599680 is an abundant number, since it is smaller than the sum of its proper divisors (383516673984).

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

142982599680 is an equidigital number, since it uses as much as digits as its factorization.

142982599680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2884 (or 2854 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 142982599680 in words is "one hundred forty-two billion, nine hundred eighty-two million, five hundred ninety-nine thousand, six hundred eighty".