Search a number
-
+
2405018405340 = 2232513361213363
BaseRepresentation
bin100010111111110110010…
…001001000100111011100
322111220202212102121220100
4202333312101020213130
5303400434202432330
65040503351021100
7335520412101315
oct42776621104734
98456685377810
102405018405340
11847a65211411
1232a13796a790
13145a3b7a6915
148459134560c
1542860266060
hex22ff64489dc

2405018405340 has 36 divisors (see below), whose sum is σ = 7295222496744. Its totient is φ = 641338241376.

The previous prime is 2405018405323. The next prime is 2405018405341. The reversal of 2405018405340 is 435048105042.

It is a happy number.

2405018405340 is a `hidden beast` number, since 2 + 40 + 5 + 0 + 1 + 84 + 0 + 534 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×24050184053402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2405018405295 and 2405018405304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2405018405341) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6680606502 + ... + 6680606861.

It is an arithmetic number, because the mean of its divisors is an integer number (202645069354).

Almost surely, 22405018405340 is an apocalyptic number.

2405018405340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2405018405340 is an abundant number, since it is smaller than the sum of its proper divisors (4890204091404).

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

2405018405340 is a wasteful number, since it uses less digits than its factorization.

2405018405340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13361213378 (or 13361213373 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 2405018405340 in words is "two trillion, four hundred five billion, eighteen million, four hundred five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 13361213363 26722426726 40083640089 53444853452 66806066815 80167280178 120250920267 133612133630 160334560356 200418200445 240501840534 267224267260 400836400890 481003681068 601254601335 801672801780 1202509202670 2405018405340