Search a number
-
+
42255001152 = 26327132393373
BaseRepresentation
bin100111010110100110…
…000010011001000000
311001001211020110112200
4213112212002121000
51143014240014102
631224531153200
73024055404120
oct472646023100
9131054213480
1042255001152
1116a13934861
128233145800
133ca5300780
14208bc84c80
15117496a51c
hex9d6982640

42255001152 has 336 divisors, whose sum is σ = 149734341120. Its totient is φ = 11094257664.

The previous prime is 42255001147. The next prime is 42255001163. The reversal of 42255001152 is 25110055224.

42255001152 is a `hidden beast` number, since 4 + 2 + 2 + 5 + 500 + 1 + 152 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12525738 + ... + 12529110.

It is an arithmetic number, because the mean of its divisors is an integer number (445637920).

Almost surely, 242255001152 is an apocalyptic number.

42255001152 is a gapful number since it is divisible by the number (42) 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 42255001152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74867170560).

42255001152 is an abundant number, since it is smaller than the sum of its proper divisors (107479339968).

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

42255001152 is a wasteful number, since it uses less digits than its factorization.

42255001152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3650 (or 3637 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

Adding to 42255001152 its reverse (25110055224), we get a palindrome (67365056376).

The spelling of 42255001152 in words is "forty-two billion, two hundred fifty-five million, one thousand, one hundred fifty-two".