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281141442 = 23419241379
BaseRepresentation
bin10000110000011…
…110000011000010
3201121000110120000
4100300132003002
51033433011232
643521500430
76652443231
oct2060360302
9647013500
10281141442
111347737aa
127a1a1716
13463270aa
14294a4b18
1519a3627c
hex10c1e0c2

281141442 has 80 divisors (see below), whose sum is σ = 667629600. Its totient is φ = 88179840.

The previous prime is 281141437. The next prime is 281141453. The reversal of 281141442 is 244141182.

281141442 is a `hidden beast` number, since 2 + 81 + 141 + 442 = 666.

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 39 ways as a sum of consecutive naturals, for example, 741609 + ... + 741987.

It is an arithmetic number, because the mean of its divisors is an integer number (8345370).

Almost surely, 2281141442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 281141442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333814800).

281141442 is an abundant number, since it is smaller than the sum of its proper divisors (386488158).

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

281141442 is a wasteful number, since it uses less digits than its factorization.

281141442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 644 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 281141442 is about 16767.2729446383. The cubic root of 281141442 is about 655.1010406836.

It can be divided in two parts, 2811 and 41442, that added together give a triangular number (44253 = T297).

The spelling of 281141442 in words is "two hundred eighty-one million, one hundred forty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 241 342 379 482 513 723 758 1026 1137 1446 1539 2169 2274 3078 3411 4338 4579 6507 6822 7201 9158 10233 13014 13737 14402 19521 20466 21603 27474 30699 39042 41211 43206 61398 64809 82422 91339 123633 129618 182678 194427 247266 274017 370899 388854 548034 583281 741798 822051 1166562 1644102 1735441 2466153 3470882 4932306 5206323 7398459 10412646 14796918 15618969 31237938 46856907 93713814 140570721 281141442