Search a number
-
+
42014112332010 = 23571373337162539
BaseRepresentation
bin10011000110110001011000…
…01111011011100011101010
312111202111202201121121101220
421203120230033123203222
521001324400224111020
6225205003341322510
711564263604303640
oct1143305417334352
9174674681547356
1042014112332010
11124290a3118865
124866749266436
131a59bb57ab640
14a536cb323190
154ccd3bb1b240
hex26362c3db8ea

42014112332010 has 256 divisors, whose sum is σ = 125842599751680. Its totient is φ = 8740350904320.

The previous prime is 42014112331987. The next prime is 42014112332011. The reversal of 42014112332010 is 1023321141024.

It is not an unprimeable number, because it can be changed into a prime (42014112332011) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 671775321 + ... + 671837859.

It is an arithmetic number, because the mean of its divisors is an integer number (491572655280).

Almost surely, 242014112332010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42014112332010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62921299875840).

42014112332010 is an abundant number, since it is smaller than the sum of its proper divisors (83828487419670).

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

42014112332010 is a wasteful number, since it uses less digits than its factorization.

42014112332010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66013.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 42014112332010 its reverse (1023321141024), we get a palindrome (43037433473034).

The spelling of 42014112332010 in words is "forty-two trillion, fourteen billion, one hundred twelve million, three hundred thirty-two thousand, ten".