Search a number
-
+
40002440412 = 22311313977991
BaseRepresentation
bin100101010000010101…
…001100110011011100
310211020211122112010010
4211100111030303130
51123411111043122
630213223043220
72614204063464
oct452025146334
9124224575103
1040002440412
1115a68375610
1279048a0510
133a067282ac
141d16a44ba4
151091d19e0c
hex95054ccdc

40002440412 has 96 divisors (see below), whose sum is σ = 102357448704. Its totient is φ = 12058675200.

The previous prime is 40002440389. The next prime is 40002440417. The reversal of 40002440412 is 21404420004.

It is a super-2 number, since 2×400024404122 (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 (40002440417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40365237 + ... + 40366227.

It is an arithmetic number, because the mean of its divisors is an integer number (1066223424).

Almost surely, 240002440412 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 40002440412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51178724352).

40002440412 is an abundant number, since it is smaller than the sum of its proper divisors (62355008292).

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

40002440412 is a wasteful number, since it uses less digits than its factorization.

40002440412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2299 (or 2297 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 40002440412 its reverse (21404420004), we get a palindrome (61406860416).

The spelling of 40002440412 in words is "forty billion, two million, four hundred forty thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 313 626 939 977 991 1252 1878 1954 1982 2931 2973 3443 3756 3908 3964 5862 5946 6886 10329 10747 10901 11724 11892 13772 20658 21494 21802 32241 32703 41316 42988 43604 64482 65406 128964 130812 305801 310183 611602 620366 917403 930549 968207 1223204 1240732 1834806 1861098 1936414 2904621 3363811 3412013 3669612 3722196 3872828 5809242 6727622 6824026 10091433 10236039 10650277 11618484 13455244 13648052 20182866 20472078 21300554 31950831 40365732 40944156 42601108 63901662 127803324 303048791 606097582 909146373 1212195164 1818292746 3333536701 3636585492 6667073402 10000610103 13334146804 20001220206 40002440412