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2404013323440 = 243510016722181
BaseRepresentation
bin100010111110111010010…
…111000011010010110000
322111211011211012011201210
4202332322113003102300
5303341404402322230
65040215524400120
7335453456043351
oct42767227032260
98454154164653
102404013323440
11847599937513
12329ab7246040
1314590b4aa5c1
14844d7a73d28
1542801dcdeb0
hex22fba5c34b0

2404013323440 has 40 divisors (see below), whose sum is σ = 7452441303408. Its totient is φ = 641070219520.

The previous prime is 2404013323433. The next prime is 2404013323457. The reversal of 2404013323440 is 443233104042.

It is a happy number.

2404013323440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 2404013323398 and 2404013323407.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5008360851 + ... + 5008361330.

Almost surely, 22404013323440 is an apocalyptic number.

2404013323440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2404013323440 is an abundant number, since it is smaller than the sum of its proper divisors (5048427979968).

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

2404013323440 is a wasteful number, since it uses less digits than its factorization.

2404013323440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10016722197 (or 10016722191 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 2404013323440 its reverse (443233104042), we get a palindrome (2847246427482).

The spelling of 2404013323440 in words is "two trillion, four hundred four billion, thirteen million, three hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 10016722181 20033444362 30050166543 40066888724 50083610905 60100333086 80133777448 100167221810 120200666172 150250832715 160267554896 200334443620 240401332344 300501665430 400668887240 480802664688 601003330860 801337774480 1202006661720 2404013323440