Search a number
-
+
40144331412 = 223219503116681
BaseRepresentation
bin100101011000110010…
…011110001010010100
310211121201122022222100
4211120302132022110
51124203422101122
630235252202100
72620546121043
oct453062361224
9124551568870
1040144331412
11160304793a9
127944309330
133a29c48273
141d2b81c55a
15109e4e6aac
hex958c9e294

40144331412 has 72 divisors (see below), whose sum is σ = 107030064960. Its totient is φ = 12651845760.

The previous prime is 40144331411. The next prime is 40144331419. The reversal of 40144331412 is 21413344104.

It is a super-2 number, since 2×401443314122 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40144331411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 285712 + ... + 402392.

It is an arithmetic number, because the mean of its divisors is an integer number (1486528680).

Almost surely, 240144331412 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 40144331412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53515032480).

40144331412 is an abundant number, since it is smaller than the sum of its proper divisors (66885733548).

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

40144331412 is a wasteful number, since it uses less digits than its factorization.

40144331412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117213 (or 117208 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 40144331412 its reverse (21413344104), we get a palindrome (61557675516).

The spelling of 40144331412 in words is "forty billion, one hundred forty-four million, three hundred thirty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 503 684 1006 1509 2012 3018 4527 6036 9054 9557 18108 19114 28671 38228 57342 86013 114684 116681 172026 233362 344052 350043 466724 700086 1050129 1400172 2100258 2216939 4200516 4433878 6650817 8867756 13301634 19952451 26603268 39904902 58690543 79809804 117381086 176071629 234762172 352143258 528214887 704286516 1056429774 1115120317 2112859548 2230240634 3345360951 4460481268 6690721902 10036082853 13381443804 20072165706 40144331412