Search a number
-
+
141424272 = 24331129761
BaseRepresentation
bin10000110110111…
…11011010010000
3100212010002122000
420123133122100
5242201034042
622011114000
73335041443
oct1033373220
9325102560
10141424272
1172915170
123b442900
13233b8702
1414ad565a
15c63874c
hex86df690

141424272 has 80 divisors (see below), whose sum is σ = 442858560. Its totient is φ = 42854400.

The previous prime is 141424259. The next prime is 141424303. The reversal of 141424272 is 272424141.

141424272 is a `hidden beast` number, since 1 + 414 + 242 + 7 + 2 = 666.

141424272 is digitally balanced in base 2, 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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10129 + ... + 19632.

It is an arithmetic number, because the mean of its divisors is an integer number (5535732).

Almost surely, 2141424272 is an apocalyptic number.

141424272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

141424272 is an abundant number, since it is smaller than the sum of its proper divisors (301434288).

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

141424272 is a wasteful number, since it uses less digits than its factorization.

141424272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29789 (or 29777 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The square root of 141424272 is about 11892.1937421150. The cubic root of 141424272 is about 521.0043115213.

The spelling of 141424272 in words is "one hundred forty-one million, four hundred twenty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 29761 59522 89283 119044 178566 238088 267849 327371 357132 476176 535698 654742 714264 803547 982113 1071396 1309484 1428528 1607094 1964226 2142792 2618968 2946339 3214188 3928452 4285584 5237936 5892678 6428376 7856904 8839017 11785356 12856752 15713808 17678034 23570712 35356068 47141424 70712136 141424272