Search a number
-
+
40320412412 = 2273746384059
BaseRepresentation
bin100101100011010010…
…001010101011111100
310212001222222011200212
4211203102022223330
51130034011144122
630304542211552
72625114564530
oct454322125374
9125058864625
1040320412412
1116110904695
127993283bb8
133a575793c7
141d46d75bc0
1510aebc8ce2
hex96348aafc

40320412412 has 48 divisors (see below), whose sum is σ = 83000171520. Its totient is φ = 16776631872.

The previous prime is 40320412367. The next prime is 40320412427. The reversal of 40320412412 is 21421402304.

40320412412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 437639 + ... + 521697.

It is an arithmetic number, because the mean of its divisors is an integer number (1729170240).

Almost surely, 240320412412 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 40320412412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41500085760).

40320412412 is an abundant number, since it is smaller than the sum of its proper divisors (42679759108).

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

40320412412 is a wasteful number, since it uses less digits than its factorization.

40320412412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84570 (or 84568 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 40320412412 its reverse (21421402304), we get a palindrome (61741814716).

The spelling of 40320412412 in words is "forty billion, three hundred twenty million, four hundred twelve thousand, four hundred twelve".

Divisors: 1 2 4 7 14 28 37 74 148 259 463 518 926 1036 1852 3241 6482 12964 17131 34262 68524 84059 119917 168118 239834 336236 479668 588413 1176826 2353652 3110183 6220366 12440732 21771281 38919317 43542562 77838634 87085124 155677268 272435219 544870438 1089740876 1440014729 2880029458 5760058916 10080103103 20160206206 40320412412