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142422944 = 2529167919
BaseRepresentation
bin10000111110100…
…11001110100000
3100220222211112212
420133103032200
5242430013234
622044341252
73346401146
oct1037231640
9326884485
10142422944
1173437514
123b844828
1323678141
1414cb5596
15c7845ce
hex87d33a0

142422944 has 48 divisors (see below), whose sum is σ = 292118400. Its totient is φ = 68269824.

The previous prime is 142422919. The next prime is 142422949. The reversal of 142422944 is 449224241.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 142422944.

It is not an unprimeable number, because it can be changed into a prime (142422949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154517 + ... + 155435.

It is an arithmetic number, because the mean of its divisors is an integer number (6085800).

Almost surely, 2142422944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142422944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146059200).

142422944 is an abundant number, since it is smaller than the sum of its proper divisors (149695456).

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

142422944 is a wasteful number, since it uses less digits than its factorization.

142422944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1117 counting only the distinct ones).

The product of its digits is 18432, while the sum is 32.

The square root of 142422944 is about 11934.1084292041. The cubic root of 142422944 is about 522.2277989713.

The spelling of 142422944 in words is "one hundred forty-two million, four hundred twenty-two thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 116 167 232 334 464 668 919 928 1336 1838 2672 3676 4843 5344 7352 9686 14704 19372 26651 29408 38744 53302 77488 106604 153473 154976 213208 306946 426416 613892 852832 1227784 2455568 4450717 4911136 8901434 17802868 35605736 71211472 142422944