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142316496 = 24327592393
BaseRepresentation
bin10000111101110…
…01001111010000
3100220210102112100
420132321033100
5242413111441
622042200400
73345445620
oct1036711720
9326712470
10142316496
1173374543
123b7b3100
132363b85a
1414c88880
15c762cb6
hex87b93d0

142316496 has 120 divisors (see below), whose sum is σ = 463095360. Its totient is φ = 39955968.

The previous prime is 142316491. The next prime is 142316513. The reversal of 142316496 is 694613241.

142316496 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 1 + 649 + 6 = 666.

142316496 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 (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 142316496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142316491) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58276 + ... + 60668.

It is an arithmetic number, because the mean of its divisors is an integer number (3859128).

Almost surely, 2142316496 is an apocalyptic number.

142316496 is a gapful number since it is divisible by the number (16) 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 142316496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231547680).

142316496 is an abundant number, since it is smaller than the sum of its proper divisors (320778864).

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

142316496 is a wasteful number, since it uses less digits than its factorization.

142316496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2473 (or 2464 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 142316496 is about 11929.6477735095. The cubic root of 142316496 is about 522.0976608573.

The spelling of 142316496 in words is "one hundred forty-two million, three hundred sixteen thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 59 63 72 84 112 118 126 144 168 177 236 252 336 354 413 472 504 531 708 826 944 1008 1062 1239 1416 1652 2124 2393 2478 2832 3304 3717 4248 4786 4956 6608 7179 7434 8496 9572 9912 14358 14868 16751 19144 19824 21537 28716 29736 33502 38288 43074 50253 57432 59472 67004 86148 100506 114864 134008 141187 150759 172296 201012 268016 282374 301518 344592 402024 423561 564748 603036 804048 847122 988309 1129496 1206072 1270683 1694244 1976618 2258992 2412144 2541366 2964927 3388488 3953236 5082732 5929854 6776976 7906472 8894781 10165464 11859708 15812944 17789562 20330928 23719416 35579124 47438832 71158248 142316496