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142331340434320 = 2451779141755429
BaseRepresentation
bin100000010111001100011000…
…111111001010101110010000
3200122221202001211120102220001
4200113030120333022232100
5122123424041122344240
61222414040511255344
741660046205023232
oct4027143077125620
9618852054512801
10142331340434320
1141395423117514
1213b68925b1a554
136155a31a8cb5b
142720c33372252
15116c5712cc89a
hex817318fcab90

142331340434320 has 20 divisors (see below), whose sum is σ = 330920366509980. Its totient is φ = 56932536173696.

The previous prime is 142331340434317. The next prime is 142331340434323. The reversal of 142331340434320 is 23434043133241.

It is an interprime number because it is at equal distance from previous prime (142331340434317) and next prime (142331340434323).

It can be written as a sum of positive squares in 2 ways, for example, as 41485398919056 + 100845941515264 = 6440916^2 + 10042208^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 142331340434320.

It is not an unprimeable number, because it can be changed into a prime (142331340434323) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 889570877635 + ... + 889570877794.

It is an arithmetic number, because the mean of its divisors is an integer number (16546018325499).

Almost surely, 2142331340434320 is an apocalyptic number.

142331340434320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142331340434320 is an abundant number, since it is smaller than the sum of its proper divisors (188589026075660).

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

142331340434320 is a wasteful number, since it uses less digits than its factorization.

142331340434320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1779141755442 (or 1779141755436 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 37.

Adding to 142331340434320 its reverse (23434043133241), we get a palindrome (165765383567561).

The spelling of 142331340434320 in words is "one hundred forty-two trillion, three hundred thirty-one billion, three hundred forty million, four hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1779141755429 3558283510858 7116567021716 8895708777145 14233134043432 17791417554290 28466268086864 35582835108580 71165670217160 142331340434320