Search a number
-
+
42311060480 = 2105131933457
BaseRepresentation
bin100111011001111011…
…111000110000000000
311001012201201120111002
4213121323320300000
51143123112413410
631234252511132
73025336036313
oct473173706000
9131181646432
1042311060480
1116a42543a87
128249a7b4a8
133cb3acab80
1420954b897a
1511798407a5
hex9d9ef8c00

42311060480 has 176 divisors, whose sum is σ = 115060723680. Its totient is φ = 14799863808.

The previous prime is 42311060447. The next prime is 42311060531. The reversal of 42311060480 is 8406011324.

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 15 ways as a sum of consecutive naturals, for example, 1247912 + ... + 1281368.

Almost surely, 242311060480 is an apocalyptic number.

42311060480 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 42311060480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57530361840).

42311060480 is an abundant number, since it is smaller than the sum of its proper divisors (72749663200).

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

42311060480 is a wasteful number, since it uses less digits than its factorization.

42311060480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33514 (or 33496 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The spelling of 42311060480 in words is "forty-two billion, three hundred eleven million, sixty thousand, four hundred eighty".