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142444288 = 287292741
BaseRepresentation
bin10000111110110…
…00011100000000
3100221000220211101
420133120130000
5242431204123
622045024144
73346520320
oct1037303400
9327026741
10142444288
1173451558
123b855054
1323684a7c
1414cbd280
15c78aaad
hex87d8700

142444288 has 72 divisors (see below), whose sum is σ = 336278880. Its totient is φ = 58920960.

The previous prime is 142444279. The next prime is 142444303. The reversal of 142444288 is 882444241.

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

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 50598 + ... + 53338.

It is an arithmetic number, because the mean of its divisors is an integer number (4670540).

Almost surely, 2142444288 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 142444288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168139440).

142444288 is an abundant number, since it is smaller than the sum of its proper divisors (193834592).

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

142444288 is an equidigital number, since it uses as much as digits as its factorization.

142444288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2793 (or 2779 counting only the distinct ones).

The product of its digits is 65536, while the sum is 37.

The square root of 142444288 is about 11935.0026392959. The cubic root of 142444288 is about 522.2538852958.

The spelling of 142444288 in words is "one hundred forty-two million, four hundred forty-four thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 203 224 232 256 406 448 464 812 896 928 1624 1792 1856 2741 3248 3712 5482 6496 7424 10964 12992 19187 21928 25984 38374 43856 51968 76748 79489 87712 153496 158978 175424 306992 317956 350848 556423 613984 635912 701696 1112846 1227968 1271824 2225692 2455936 2543648 4451384 4911872 5087296 8902768 10174592 17805536 20349184 35611072 71222144 142444288