Search a number
-
+
42232145160 = 2335477487969
BaseRepresentation
bin100111010101001110…
…110110010100001000
311001000020020021000110
4213111032312110020
51142442412121120
631222353234320
73023360211432
oct472516662410
9131006207013
1042232145160
1116a01a43807
1282275629a0
133ca065a40a
142088c15652
1511729532e0
hex9d53b6508

42232145160 has 64 divisors (see below), whose sum is σ = 129392121600. Its totient is φ = 11022288896.

The previous prime is 42232145159. The next prime is 42232145167. The reversal of 42232145160 is 6154123224.

It is a super-2 number, since 2×422321451602 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (42232145167) by changing a digit.

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, 3738345 + ... + 3749624.

It is an arithmetic number, because the mean of its divisors is an integer number (2021751900).

Almost surely, 242232145160 is an apocalyptic number.

42232145160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42232145160 is an abundant number, since it is smaller than the sum of its proper divisors (87159976440).

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

42232145160 is a wasteful number, since it uses less digits than its factorization.

42232145160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7488030 (or 7488026 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 42232145160 its reverse (6154123224), we get a palindrome (48386268384).

The spelling of 42232145160 in words is "forty-two billion, two hundred thirty-two million, one hundred forty-five thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 470 564 705 940 1128 1410 1880 2820 5640 7487969 14975938 22463907 29951876 37439845 44927814 59903752 74879690 89855628 112319535 149759380 179711256 224639070 299518760 351934543 449278140 703869086 898556280 1055803629 1407738172 1759672715 2111607258 2815476344 3519345430 4223214516 5279018145 7038690860 8446429032 10558036290 14077381720 21116072580 42232145160