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142213644 = 22343711863
BaseRepresentation
bin10000111101000…
…00001000001100
3100220121012110000
420132200020030
5242401314034
622040044300
73344540016
oct1036401014
9326535400
10142213644
1173304241
123b763690
1323603ab1
1414c5d1b6
15c742599
hex87a020c

142213644 has 60 divisors (see below), whose sum is σ = 381854704. Its totient is φ = 46119456.

The previous prime is 142213633. The next prime is 142213657. The reversal of 142213644 is 446312241.

It is a happy number.

142213644 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 13 + 644 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6057 + ... + 17919.

Almost surely, 2142213644 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 142213644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190927352).

142213644 is an abundant number, since it is smaller than the sum of its proper divisors (239641060).

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

142213644 is a wasteful number, since it uses less digits than its factorization.

142213644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11916 (or 11905 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 142213644 is about 11925.3362216753. The cubic root of 142213644 is about 521.9718573809.

Adding to 142213644 its reverse (446312241), we get a palindrome (588525885).

The spelling of 142213644 in words is "one hundred forty-two million, two hundred thirteen thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 324 333 444 666 999 1332 1998 2997 3996 5994 11863 11988 23726 35589 47452 71178 106767 142356 213534 320301 427068 438931 640602 877862 960903 1281204 1316793 1755724 1921806 2633586 3843612 3950379 5267172 7900758 11851137 15801516 23702274 35553411 47404548 71106822 142213644