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142565434680 = 2335172373107389
BaseRepresentation
bin1000010011000110001…
…1111110010100111000
3111121222122000110112110
42010301203332110320
54313433222402210
6145254344012320
713204622125464
oct2046143762470
9447878013473
10142565434680
1155509520199
1223768a610a0
13105a0221c96
146c862334a4
153a96075420
hex21318fe538

142565434680 has 512 divisors, whose sum is σ = 484737177600. Its totient is φ = 33355137024.

The previous prime is 142565434679. The next prime is 142565434757. The reversal of 142565434680 is 86434565241.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 366491926 + ... + 366492314.

It is an arithmetic number, because the mean of its divisors is an integer number (946752300).

Almost surely, 2142565434680 is an apocalyptic number.

142565434680 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 142565434680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242368588800).

142565434680 is an abundant number, since it is smaller than the sum of its proper divisors (342171742920).

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

142565434680 is a wasteful number, since it uses less digits than its factorization.

142565434680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 48.

The spelling of 142565434680 in words is "one hundred forty-two billion, five hundred sixty-five million, four hundred thirty-four thousand, six hundred eighty".