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142023342432 = 2534127358471
BaseRepresentation
bin1000010001000101000…
…0000011100101100000
3111120120211222022202210
42010101100003211200
54311330433424212
6145124501042120
713155320330556
oct2042120034540
9446524868683
10142023342432
1155260524274
12236373b6340
1310514b1cc3a
146c34241bd6
153a6369553c
hex2111403960

142023342432 has 48 divisors (see below), whose sum is σ = 372902648832. Its totient is φ = 47329511040.

The previous prime is 142023342431. The next prime is 142023342443. The reversal of 142023342432 is 234243320241.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 142023342432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142023342431) by changing a digit.

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, 216957 + ... + 575427.

It is an arithmetic number, because the mean of its divisors is an integer number (7768805184).

Almost surely, 2142023342432 is an apocalyptic number.

142023342432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

142023342432 is an abundant number, since it is smaller than the sum of its proper divisors (230879306400).

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

142023342432 is a wasteful number, since it uses less digits than its factorization.

142023342432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362611 (or 362603 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 142023342432 its reverse (234243320241), we get a palindrome (376266662673).

The spelling of 142023342432 in words is "one hundred forty-two billion, twenty-three million, three hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 4127 8254 12381 16508 24762 33016 49524 66032 99048 132064 198096 358471 396192 716942 1075413 1433884 2150826 2867768 4301652 5735536 8603304 11471072 17206608 34413216 1479409817 2958819634 4438229451 5917639268 8876458902 11835278536 17752917804 23670557072 35505835608 47341114144 71011671216 142023342432