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142506252980 = 2257135979107157
BaseRepresentation
bin1000010010111000001…
…0001101101010110100
3111121211111122201111122
42010232002031222310
54313323100043410
6145244431323112
713203303110210
oct2045602155264
9447744581448
10142506252980
11554890790a3
1223751080498
1310590ba0620
146c7c429940
153a90c84e55
hex212e08dab4

142506252980 has 384 divisors, whose sum is σ = 385291468800. Its totient is φ = 43089905664.

The previous prime is 142506252877. The next prime is 142506253003. The reversal of 142506252980 is 89252605241.

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, 907683062 + ... + 907683218.

It is an arithmetic number, because the mean of its divisors is an integer number (1003363200).

Almost surely, 2142506252980 is an apocalyptic number.

142506252980 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 142506252980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192645734400).

142506252980 is an abundant number, since it is smaller than the sum of its proper divisors (242785215820).

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

142506252980 is a wasteful number, since it uses less digits than its factorization.

142506252980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 44.

The spelling of 142506252980 in words is "one hundred forty-two billion, five hundred six million, two hundred fifty-two thousand, nine hundred eighty".