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142355466 = 232113971811
BaseRepresentation
bin10000111110000…
…10110000001010
3100220212101222200
420133002300022
5242420333331
622043101030
73346000341
oct1037026012
9326771880
10142355466
11733a0850
123b811776
1323653506
1414c98b58
15c76e5e6
hex87c2c0a

142355466 has 48 divisors (see below), whose sum is σ = 337510368. Its totient is φ = 43005600.

The previous prime is 142355459. The next prime is 142355471. The reversal of 142355466 is 664553241.

142355466 is a `hidden beast` number, since 1 + 42 + 3 + 554 + 66 = 666.

It is a super-3 number, since 3×1423554663 (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 142355466.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77701 + ... + 79511.

It is an arithmetic number, because the mean of its divisors is an integer number (7031466).

Almost surely, 2142355466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142355466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168755184).

142355466 is an abundant number, since it is smaller than the sum of its proper divisors (195154902).

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

142355466 is a wasteful number, since it uses less digits than its factorization.

142355466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2227 (or 2224 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 142355466 is about 11931.2809873877. The cubic root of 142355466 is about 522.1453111991.

It can be divided in two parts, 14235 and 5466, that added together give a triangular number (19701 = T198).

The spelling of 142355466 in words is "one hundred forty-two million, three hundred fifty-five thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 397 794 1191 1811 2382 3573 3622 4367 5433 7146 8734 10866 13101 16299 19921 26202 32598 39303 39842 59763 78606 119526 179289 358578 718967 1437934 2156901 4313802 6470703 7908637 12941406 15817274 23725911 47451822 71177733 142355466