Search a number
-
+
403405466240 = 27571313072239
BaseRepresentation
bin1011101111011001101…
…01101110101010000000
31102120021000112222110002
411313230311232222000
523102133244404430
6505153311055132
741100522613010
oct5675465565200
91376230488402
10403405466240
111460a0961607
12662238114a8
132c06c02921a
141574c593c40
15a760880845
hex5decd6ea80

403405466240 has 256 divisors, whose sum is σ = 1114689945600. Its totient is φ = 136746455040.

The previous prime is 403405466237. The next prime is 403405466257. The reversal of 403405466240 is 42664504304.

It is a junction number, because it is equal to n+sod(n) for n = 403405466194 and 403405466203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180171041 + ... + 180173279.

It is an arithmetic number, because the mean of its divisors is an integer number (4354257600).

Almost surely, 2403405466240 is an apocalyptic number.

403405466240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 403405466240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557344972800).

403405466240 is an abundant number, since it is smaller than the sum of its proper divisors (711284479360).

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

403405466240 is a wasteful number, since it uses less digits than its factorization.

403405466240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2703 (or 2691 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 38.

The spelling of 403405466240 in words is "four hundred three billion, four hundred five million, four hundred sixty-six thousand, two hundred forty".