Search a number
-
+
102404342040 = 2335711133723041
BaseRepresentation
bin101111101011111000…
…1100100000100011000
3100210022201211120110220
41133113301210010120
53134211002421130
6115013252240040
710253450355030
oct1372761440430
9323281746426
10102404342040
113a47a643940
1217a1b010020
13986c988840
144d564d08c0
1529e536c410
hex17d7c64118

102404342040 has 512 divisors, whose sum is σ = 423648368640. Its totient is φ = 19110297600.

The previous prime is 102404342017. The next prime is 102404342069. The reversal of 102404342040 is 40243404201.

It is a happy number.

102404342040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1024043420402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 102404342040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4432920 + ... + 4455960.

It is an arithmetic number, because the mean of its divisors is an integer number (827438220).

Almost surely, 2102404342040 is an apocalyptic number.

102404342040 is a gapful number since it is divisible by the number (10) 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 102404342040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211824184320).

102404342040 is an abundant number, since it is smaller than the sum of its proper divisors (321244026600).

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

102404342040 is a wasteful number, since it uses less digits than its factorization.

102404342040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23123 (or 23119 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 102404342040 its reverse (40243404201), we get a palindrome (142647746241).

It can be divided in two parts, 102404 and 342040, that added together give a palindrome (444444).

The spelling of 102404342040 in words is "one hundred two billion, four hundred four million, three hundred forty-two thousand, forty".