Search a number
-
+
42303440032 = 2571514612713
BaseRepresentation
bin100111011001011110…
…110100010010100000
311001012012101102012021
4213121132310102200
51143114140040112
631233421311224
73025214210260
oct473136642240
9131165342167
1042303440032
1116a39209697
128247405514
133cb2360429
1420944937a0
151178d37907
hex9d97b44a0

42303440032 has 96 divisors (see below), whose sum is σ = 96056319744. Its totient is φ = 17964288000.

The previous prime is 42303440027. The next prime is 42303440059. The reversal of 42303440032 is 23004430324.

It is a super-2 number, since 2×423034400322 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42303439979 and 42303440006.

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, 15591508 + ... + 15594220.

It is an arithmetic number, because the mean of its divisors is an integer number (1000586664).

Almost surely, 242303440032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42303440032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48028159872).

42303440032 is an abundant number, since it is smaller than the sum of its proper divisors (53752879712).

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

42303440032 is a wasteful number, since it uses less digits than its factorization.

42303440032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3342 (or 3334 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

Adding to 42303440032 its reverse (23004430324), we get a palindrome (65307870356).

The spelling of 42303440032 in words is "forty-two billion, three hundred three million, four hundred forty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 151 224 302 461 604 922 1057 1208 1844 2114 2416 2713 3227 3688 4228 4832 5426 6454 7376 8456 10852 12908 14752 16912 18991 21704 25816 33824 37982 43408 51632 69611 75964 86816 103264 139222 151928 278444 303856 409663 487277 556888 607712 819326 974554 1113776 1250693 1638652 1949108 2227552 2501386 2867641 3277304 3898216 5002772 5735282 6554608 7796432 8754851 10005544 11470564 13109216 15592864 17509702 20011088 22941128 35019404 40022176 45882256 70038808 91764512 140077616 188854643 280155232 377709286 755418572 1321982501 1510837144 2643965002 3021674288 5287930004 6043348576 10575860008 21151720016 42303440032