Search a number
-
+
142221431512320 = 2835738322926693
BaseRepresentation
bin100000010101100110000001…
…111001111001110100000000
3200122120020101002112201001020
4200111212001321321310000
5122120123442431343240
61222251342413505440
741646105440425266
oct4025460171716400
9618506332481036
10142221431512320
1141352852424686
1213b4b5717a2280
136148567401774
1427197a82da436
15116978c1c60d0
hex815981e79d00

142221431512320 has 576 divisors, whose sum is σ = 468041798810880. Its totient is φ = 36792751620096.

The previous prime is 142221431512313. The next prime is 142221431512327. The reversal of 142221431512320 is 23215134122241.

It is an interprime number because it is at equal distance from previous prime (142221431512313) and next prime (142221431512327).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142221431512327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5328028894 + ... + 5328055586.

It is an arithmetic number, because the mean of its divisors is an integer number (812572567380).

Almost surely, 2142221431512320 is an apocalyptic number.

142221431512320 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 142221431512320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234020899405440).

142221431512320 is an abundant number, since it is smaller than the sum of its proper divisors (325820367298560).

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

142221431512320 is a wasteful number, since it uses less digits than its factorization.

142221431512320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27102 (or 27088 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

Adding to 142221431512320 its reverse (23215134122241), we get a palindrome (165436565634561).

The spelling of 142221431512320 in words is "one hundred forty-two trillion, two hundred twenty-one billion, four hundred thirty-one million, five hundred twelve thousand, three hundred twenty".