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142142040020 = 22556312623627
BaseRepresentation
bin1000010001100001010…
…0110110011111010100
3111120220010022210020202
42010120110312133110
54312101330240040
6145144341120032
713161261255641
oct2043024663724
9446803283222
10142142040020
1155311526552
122366b0b9018
13105335ac0b6
146c45cdcdc8
153a6dce0015
hex21185367d4

142142040020 has 24 divisors (see below), whose sum is σ = 299028500064. Its totient is φ = 56755822496.

The previous prime is 142142040013. The next prime is 142142040023. The reversal of 142142040020 is 20040241241.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 142142039974 and 142142040001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142142040023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6300554 + ... + 6323073.

It is an arithmetic number, because the mean of its divisors is an integer number (12459520836).

Almost surely, 2142142040020 is an apocalyptic number.

142142040020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142142040020 is an abundant number, since it is smaller than the sum of its proper divisors (156886460044).

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

142142040020 is a wasteful number, since it uses less digits than its factorization.

142142040020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12624199 (or 12624197 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 142142040020 its reverse (20040241241), we get a palindrome (162182281261).

The spelling of 142142040020 in words is "one hundred forty-two billion, one hundred forty-two million, forty thousand, twenty".

Divisors: 1 2 4 5 10 20 563 1126 2252 2815 5630 11260 12623627 25247254 50494508 63118135 126236270 252472540 7107102001 14214204002 28428408004 35535510005 71071020010 142142040020