Search a number
-
+
40220404440 = 23351572134841
BaseRepresentation
bin100101011101010100…
…101010101011011000
310211211000210020112220
4211131110222223120
51124332410420230
630251010504040
72622461540226
oct453524525330
9124730706486
1040220404440
111606a408177
127965895020
133a3c9320a8
141d37981b16
1510a6021d10
hex95d52aad8

40220404440 has 64 divisors (see below), whose sum is σ = 121429812960. Its totient is φ = 10657121280.

The previous prime is 40220404439. The next prime is 40220404447. The reversal of 40220404440 is 4440402204.

40220404440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 40220404440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40220404447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1048581 + ... + 1086260.

Almost surely, 240220404440 is an apocalyptic number.

40220404440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40220404440 is an abundant number, since it is smaller than the sum of its proper divisors (81209408520).

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

40220404440 is a wasteful number, since it uses less digits than its factorization.

40220404440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2135012 (or 2135008 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 40220404440 its reverse (4440402204), we get a palindrome (44660806644).

The spelling of 40220404440 in words is "forty billion, two hundred twenty million, four hundred four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 157 314 471 628 785 942 1256 1570 1884 2355 3140 3768 4710 6280 9420 18840 2134841 4269682 6404523 8539364 10674205 12809046 17078728 21348410 25618092 32022615 42696820 51236184 64045230 85393640 128090460 256180920 335170037 670340074 1005510111 1340680148 1675850185 2011020222 2681360296 3351700370 4022040444 5027550555 6703400740 8044080888 10055101110 13406801480 20110202220 40220404440