Search a number
-
+
142023002220 = 2232511223509557
BaseRepresentation
bin1000010001000100111…
…0110000100001101100
3111120120211100001002100
42010101032300201230
54311330342032340
6145124445455100
713155314412651
oct2042116604154
9446524301070
10142023002220
1155260311700
1223637271490
1310514a31128
146c34193c28
153a63629830
hex21113b086c

142023002220 has 432 divisors, whose sum is σ = 495975130560. Its totient is φ = 32809159680.

The previous prime is 142023002201. The next prime is 142023002257. The reversal of 142023002220 is 22200320241.

142023002220 is a `hidden beast` number, since 1 + 420 + 23 + 0 + 0 + 2 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 142023002193 and 142023002202.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 254978182 + ... + 254978738.

It is an arithmetic number, because the mean of its divisors is an integer number (1148090580).

Almost surely, 2142023002220 is an apocalyptic number.

142023002220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142023002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247987565280).

142023002220 is an abundant number, since it is smaller than the sum of its proper divisors (353952128340).

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

142023002220 is a wasteful number, since it uses less digits than its factorization.

142023002220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 142023002220 its reverse (22200320241), we get a palindrome (164223322461).

The spelling of 142023002220 in words is "one hundred forty-two billion, twenty-three million, two thousand, two hundred twenty".