Search a number
-
+
102471423805440 = 21131051371237
BaseRepresentation
bin10111010011001001111100…
…110100001100100000000000
3111102211011122201020000000000
4113103021330310030200000
5101412342433443233230
61001534420000000000
730404213256652254
oct2723117464144000
9442734581200000
10102471423805440
112a71798334a538
12b5ab794600000
134524024428001
141b439015c8264
15bca7b479eb60
hex5d327cd0c800

102471423805440 has 1056 divisors, whose sum is σ = 371797309086840. Its totient is φ = 27104326189056.

The previous prime is 102471423805403. The next prime is 102471423805453. The reversal of 102471423805440 is 44508324174201.

102471423805440 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 7 + 1 + 4 + 23 + 80 + 544 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 94327295026176 + 8144128779264 = 9712224^2 + 2853792^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 82838660502 + ... + 82838661738.

Almost surely, 2102471423805440 is an apocalyptic number.

102471423805440 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 102471423805440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185898654543420).

102471423805440 is an abundant number, since it is smaller than the sum of its proper divisors (269325885281400).

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

102471423805440 is an frugal number, since it uses more digits than its factorization.

102471423805440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1431 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

Adding to 102471423805440 its reverse (44508324174201), we get a palindrome (146979747979641).

The spelling of 102471423805440 in words is "one hundred two trillion, four hundred seventy-one billion, four hundred twenty-three million, eight hundred five thousand, four hundred forty".