Search a number
-
+
142132101020224 = 267497363796331
BaseRepresentation
bin100000010100010010110101…
…011001000111101001000000
3200122020200210111110112002221
4200110102311121013221000
5122112143020330121344
61222142330311220424
741636463650654650
oct4024226531075100
9618220714415087
10142132101020224
1141318981716807
1213b361a1077714
13613cccc203913
1427153322ba360
1511672ae9e7184
hex8144b5647a40

142132101020224 has 56 divisors (see below), whose sum is σ = 322400122653888. Its totient is φ = 60901507729920.

The previous prime is 142132101020183. The next prime is 142132101020227. The reversal of 142132101020224 is 422020101231241.

142132101020224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (142132101020227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29670262 + ... + 34126069.

Almost surely, 2142132101020224 is an apocalyptic number.

142132101020224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

142132101020224 is an abundant number, since it is smaller than the sum of its proper divisors (180268021633664).

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

142132101020224 is an equidigital number, since it uses as much as digits as its factorization.

142132101020224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63801323 (or 63801313 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 142132101020224 its reverse (422020101231241), we get a palindrome (564152202251465).

The spelling of 142132101020224 in words is "one hundred forty-two trillion, one hundred thirty-two billion, one hundred one million, twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 4973 9946 19892 34811 39784 69622 79568 139244 159136 278488 318272 556976 1113952 2227904 63796331 127592662 255185324 446574317 510370648 893148634 1020741296 1786297268 2041482592 3572594536 4082965184 7145189072 14290378144 28580756288 317259154063 634518308126 1269036616252 2220814078441 2538073232504 4441628156882 5076146465008 8883256313764 10152292930016 17766512627528 20304585860032 35533025255056 71066050510112 142132101020224