Search a number
-
+
4401313040 = 245311774723
BaseRepresentation
bin1000001100101011…
…01011010100010000
3102100201211212110002
410012111223110100
533003214004130
62004423225132
7214032354305
oct40625532420
912321755402
104401313040
1119594766a3
12a29ba81a8
13551b02857
142da77b0ac
151ab5e7b45
hex10656b510

4401313040 has 40 divisors (see below), whose sum is σ = 10563157248. Its totient is φ = 1703733120.

The previous prime is 4401313027. The next prime is 4401313061. The reversal of 4401313040 is 403131044.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 884882 + ... + 889841.

Almost surely, 24401313040 is an apocalyptic number.

4401313040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4401313040 is an abundant number, since it is smaller than the sum of its proper divisors (6161844208).

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

4401313040 is a wasteful number, since it uses less digits than its factorization.

4401313040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774767 (or 1774761 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 4401313040 is about 66342.3924802234. The cubic root of 4401313040 is about 1638.8055252325.

Adding to 4401313040 its reverse (403131044), we get a palindrome (4804444084).

The spelling of 4401313040 in words is "four billion, four hundred one million, three hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 2480 1774723 3549446 7098892 8873615 14197784 17747230 28395568 35494460 55016413 70988920 110032826 141977840 220065652 275082065 440131304 550164130 880262608 1100328260 2200656520 4401313040