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142224140020 = 22543533120319
BaseRepresentation
bin1000010001110100111…
…0000010011011110100
3111121002211210220021111
42010131032002123310
54312233334440040
6145200432524404
713163306146354
oct2043516023364
9447084726244
10142224140020
1155353901496
12236926b0704
13105475c6291
146c52b90b64
153a7610adea
hex211d3826f4

142224140020 has 48 divisors (see below), whose sum is σ = 311382973440. Its totient is φ = 54518196096.

The previous prime is 142224139963. The next prime is 142224140021. The reversal of 142224140020 is 20041422241.

It is a junction number, because it is equal to n+sod(n) for n = 142224139973 and 142224140000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142224140021) 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 15 ways as a sum of consecutive naturals, for example, 1514580 + ... + 1605739.

It is an arithmetic number, because the mean of its divisors is an integer number (6487145280).

Almost surely, 2142224140020 is an apocalyptic number.

142224140020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142224140020 is an abundant number, since it is smaller than the sum of its proper divisors (169158833420).

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

142224140020 is a wasteful number, since it uses less digits than its factorization.

142224140020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3120424 (or 3120422 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 142224140020 its reverse (20041422241), we get a palindrome (162265562261).

The spelling of 142224140020 in words is "one hundred forty-two billion, two hundred twenty-four million, one hundred forty thousand, twenty".

Divisors: 1 2 4 5 10 20 43 53 86 106 172 212 215 265 430 530 860 1060 2279 4558 9116 11395 22790 45580 3120319 6240638 12481276 15601595 31203190 62406380 134173717 165376907 268347434 330753814 536694868 661507628 670868585 826884535 1341737170 1653769070 2683474340 3307538140 7111207001 14222414002 28444828004 35556035005 71112070010 142224140020