Search a number
-
+
42303422400000 = 2935538323011
BaseRepresentation
bin10011001111001100010000…
…11101110000011000000000
312112210011112020112211020020
421213212020131300120000
521021044402113300000
6225545531324213440
711624215146304626
oct1147461035603000
9175704466484206
1042303422400000
111252a865107a03
1248b282a69a280
131a7b2709c7198
14a636d4829516
154d5620a87ba0
hex267988770600

42303422400000 has 480 divisors, whose sum is σ = 141238616150016. Its totient is φ = 11250969600000.

The previous prime is 42303422399783. The next prime is 42303422400047. The reversal of 42303422400000 is 422430324.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 1838388495 + ... + 1838411505.

Almost surely, 242303422400000 is an apocalyptic number.

42303422400000 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 42303422400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70619308075008).

42303422400000 is an abundant number, since it is smaller than the sum of its proper divisors (98935193750016).

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

42303422400000 is an frugal number, since it uses more digits than its factorization.

42303422400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23440 (or 23404 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 42303422400000 its reverse (422430324), we get a palindrome (42303844830324).

The spelling of 42303422400000 in words is "forty-two trillion, three hundred three billion, four hundred twenty-two million, four hundred thousand".