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142251119920 = 24572134636029
BaseRepresentation
bin1000010001111011010…
…0111101010100110000
3111121011201120121202001
42010132310331110300
54312312241314140
6145203235103344
713164054366100
oct2043664752460
9447151517661
10142251119920
1155368059928
122369b741b54
1310550081710
146c565b5200
153a78689e9a
hex211ed3d530

142251119920 has 240 divisors, whose sum is σ = 415289669760. Its totient is φ = 44915447808.

The previous prime is 142251119917. The next prime is 142251119987. The reversal of 142251119920 is 29911152241.

It is a happy number.

It is a super-2 number, since 2×1422511199202 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 142251119920.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23591466 + ... + 23597494.

It is an arithmetic number, because the mean of its divisors is an integer number (1730373624).

Almost surely, 2142251119920 is an apocalyptic number.

142251119920 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 142251119920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207644834880).

142251119920 is an abundant number, since it is smaller than the sum of its proper divisors (273038549840).

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

142251119920 is a wasteful number, since it uses less digits than its factorization.

142251119920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6532 (or 6519 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 37.

The spelling of 142251119920 in words is "one hundred forty-two billion, two hundred fifty-one million, one hundred nineteen thousand, nine hundred twenty".