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142227783360 = 26311513193
BaseRepresentation
bin1000010001110101101…
…1111011111011000000
3111121010002200000000000
42010131123323323000
54312240303031420
6145201043000000
713163352132345
oct2043533737300
9447102600000
10142227783360
115535596a813
1223693969000
13105482a06c0
146c5345c7cc
153a765ca690
hex211d6fbec0

142227783360 has 672 divisors, whose sum is σ = 549931986240. Its totient is φ = 34828517376.

The previous prime is 142227783353. The next prime is 142227783391. The reversal of 142227783360 is 63387722241.

142227783360 is a `hidden beast` number, since 1 + 42 + 2 + 277 + 8 + 336 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 736931424 + ... + 736931616.

It is an arithmetic number, because the mean of its divisors is an integer number (818351170).

Almost surely, 2142227783360 is an apocalyptic number.

142227783360 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 142227783360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274965993120).

142227783360 is an abundant number, since it is smaller than the sum of its proper divisors (407704202880).

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

142227783360 is an frugal number, since it uses more digits than its factorization.

142227783360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 142227783360 in words is "one hundred forty-two billion, two hundred twenty-seven million, seven hundred eighty-three thousand, three hundred sixty".