Search a number
-
+
42272370000 = 2432547173947
BaseRepresentation
bin100111010111101000…
…010010110101010000
311001010000220220010100
4213113220102311100
51143033211320000
631230351332400
73024356134140
oct472750226520
9131100826110
1042272370000
1116a22718283
128238b21100
133ca8aa23b3
1420902c6920
15117624ba00
hex9d7a12d50

42272370000 has 600 divisors, whose sum is σ = 178935172416. Its totient is φ = 9091584000.

The previous prime is 42272369981. The next prime is 42272370031. The reversal of 42272370000 is 7327224.

42272370000 is a `hidden beast` number, since 422 + 7 + 237 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10708027 + ... + 10711973.

Almost surely, 242272370000 is an apocalyptic number.

42272370000 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 42272370000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89467586208).

42272370000 is an abundant number, since it is smaller than the sum of its proper divisors (136662802416).

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

42272370000 is a wasteful number, since it uses less digits than its factorization.

42272370000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4005 (or 3981 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

Adding to 42272370000 its reverse (7327224), we get a palindrome (42279697224).

The spelling of 42272370000 in words is "forty-two billion, two hundred seventy-two million, three hundred seventy thousand".