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142023076272 = 24357211261101
BaseRepresentation
bin1000010001000100111…
…1000010100110110000
3111120120211110210200000
42010101033002212300
54311330401420042
6145124451230000
713155315141600
oct2042117024660
9446524423600
10142023076272
1155260362300
12236372a8300
1310514a58a4c
146c341b2c00
153a6364174c
hex21113c29b0

142023076272 has 1080 divisors, whose sum is σ = 540980281296. Its totient is φ = 35925120000.

The previous prime is 142023076259. The next prime is 142023076313. The reversal of 142023076272 is 272670320241.

It is a happy number.

142023076272 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 23 + 0 + 7 + 627 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1406169022 + ... + 1406169122.

Almost surely, 2142023076272 is an apocalyptic number.

142023076272 is a gapful number since it is divisible by the number (12) 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 142023076272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270490140648).

142023076272 is an abundant number, since it is smaller than the sum of its proper divisors (398957205024).

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

142023076272 is a wasteful number, since it uses less digits than its factorization.

142023076272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 142023076272 in words is "one hundred forty-two billion, twenty-three million, seventy-six thousand, two hundred seventy-two".