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142323335364224 = 2772291033757481
BaseRepresentation
bin100000010111000100111011…
…110110001111111010000000
3200122220222101221121202010102
4200113010323312033322000
5122123311142323123344
61222410234311021532
741656343633035400
oct4027047366177200
9618828357552112
10142323335364224
1141391a954a6903
1213b6727106a8a8
1361550574930a1
1427206b4148800
15116c25362ee4e
hex81713bd8fe80

142323335364224 has 192 divisors, whose sum is σ = 341530226987400. Its totient is φ = 58835325911040.

The previous prime is 142323335364169. The next prime is 142323335364229. The reversal of 142323335364224 is 422463533323241.

It can be written as a sum of positive squares in 4 ways, for example, as 139151089397824 + 3172245966400 = 11796232^2 + 1781080^2 .

It is not an unprimeable number, because it can be changed into a prime (142323335364229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187511564 + ... + 188269044.

Almost surely, 2142323335364224 is an apocalyptic number.

142323335364224 is a gapful number since it is divisible by the number (14) 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 142323335364224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170765113493700).

142323335364224 is an abundant number, since it is smaller than the sum of its proper divisors (199206891623176).

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

142323335364224 is a wasteful number, since it uses less digits than its factorization.

142323335364224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758571 (or 758552 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 47.

Adding to 142323335364224 its reverse (422463533323241), we get a palindrome (564786868687465).

The spelling of 142323335364224 in words is "one hundred forty-two trillion, three hundred twenty-three billion, three hundred thirty-five million, three hundred sixty-four thousand, two hundred twenty-four".