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142862997888 = 27331319292199
BaseRepresentation
bin1000010100001101001…
…1000101100110000000
3111122202100221020112000
42011003103011212000
54320040411413023
6145344053504000
713215164305632
oct2050323054600
9448670836460
10142862997888
115565148a8a6
1223830642000
1310619a788a0
146cb3970a52
153ab2252243
hex21434c5980

142862997888 has 768 divisors, whose sum is σ = 497515200000. Its totient is φ = 40006213632.

The previous prime is 142862997841. The next prime is 142862997923. The reversal of 142862997888 is 888799268241.

142862997888 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

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, 717904413 + ... + 717904611.

It is an arithmetic number, because the mean of its divisors is an integer number (647806250).

Almost surely, 2142862997888 is an apocalyptic number.

142862997888 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 142862997888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248757600000).

142862997888 is an abundant number, since it is smaller than the sum of its proper divisors (354652202112).

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

142862997888 is a wasteful number, since it uses less digits than its factorization.

142862997888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 265 counting only the distinct ones).

The product of its digits is 222953472, while the sum is 72.

The spelling of 142862997888 in words is "one hundred forty-two billion, eight hundred sixty-two million, nine hundred ninety-seven thousand, eight hundred eighty-eight".