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42227412480 = 2936511317
BaseRepresentation
bin100111010100111100…
…110010111000000000
311000222220022211000000
4213110330302320000
51142440204144410
631222104000000
73023302040511
oct472474627000
9130886284000
1042227412480
11169aa301000
128225a60000
133c9c691206
142088342a08
15117231adc0
hex9d4f32e00

42227412480 has 1120 divisors, whose sum is σ = 176791193568. Its totient is φ = 9634775040.

The previous prime is 42227412473. The next prime is 42227412481. The reversal of 42227412480 is 8421472224.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42227412481) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2483965432 + ... + 2483965448.

Almost surely, 242227412480 is an apocalyptic number.

42227412480 is a gapful number since it is divisible by the number (40) 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 42227412480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88395596784).

42227412480 is an abundant number, since it is smaller than the sum of its proper divisors (134563781088).

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

42227412480 is an frugal number, since it uses more digits than its factorization.

42227412480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

The spelling of 42227412480 in words is "forty-two billion, two hundred twenty-seven million, four hundred twelve thousand, four hundred eighty".