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42288303930180 = 2235721173107167407
BaseRepresentation
bin10011001110110000000110…
…10101010111101101000100
312112201201111121110222111120
421213120003111113231010
521020322421301231210
6225534551215033540
711623141410366300
oct1147300325275504
9175651447428446
1042288303930180
1112524407129850
1248ab90b50b8b0
131a79a0176b859
14a62a9c9a6d00
154d5038671270
hex267603557b44

42288303930180 has 576 divisors, whose sum is σ = 153743607263232. Its totient is φ = 8585758218240.

The previous prime is 42288303930151. The next prime is 42288303930181. The reversal of 42288303930180 is 8103930388224.

It is not an unprimeable number, because it can be changed into a prime (42288303930181) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 252524037 + ... + 252691443.

It is an arithmetic number, because the mean of its divisors is an integer number (266915984832).

Almost surely, 242288303930180 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42288303930180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76871803631616).

42288303930180 is an abundant number, since it is smaller than the sum of its proper divisors (111455303333052).

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

42288303930180 is a wasteful number, since it uses less digits than its factorization.

42288303930180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167624 (or 167615 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The spelling of 42288303930180 in words is "forty-two trillion, two hundred eighty-eight billion, three hundred three million, nine hundred thirty thousand, one hundred eighty".