Search a number
-
+
403381804680 = 233453115126597
BaseRepresentation
bin1011101111010110110…
…11011101111010001000
31102120012101000211220000
411313223123131322020
523102111220222210
6505151104003000
741100114523611
oct5675333357210
91376171024800
10403381804680
111460895702a8
1266217900460
132c0671632ba
1415749394c08
15a75d759ac0
hex5deb6dde88

403381804680 has 320 divisors, whose sum is σ = 1408868398080. Its totient is φ = 103405248000.

The previous prime is 403381804673. The next prime is 403381804697. The reversal of 403381804680 is 86408183304.

403381804680 is a `hidden beast` number, since 4 + 0 + 3 + 3 + 8 + 180 + 468 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15153142 + ... + 15179738.

It is an arithmetic number, because the mean of its divisors is an integer number (4402713744).

Almost surely, 2403381804680 is an apocalyptic number.

403381804680 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 403381804680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704434199040).

403381804680 is an abundant number, since it is smaller than the sum of its proper divisors (1005486593400).

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

403381804680 is a wasteful number, since it uses less digits than its factorization.

403381804680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26802 (or 26789 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

Adding to 403381804680 its reverse (86408183304), we get a palindrome (489789987984).

The spelling of 403381804680 in words is "four hundred three billion, three hundred eighty-one million, eight hundred four thousand, six hundred eighty".