Search a number
-
+
14910212222640 = 2433573371673257
BaseRepresentation
bin1101100011111000110111…
…1001110010111010110000
31221210101212022210200212000
43120332031321302322300
53423242103312111030
651413353521534000
73066140646525000
oct330761571627260
957711768720760
1014910212222640
1148294271004a9
121809847aa4300
13842047373c37
1439792dc5c000
151accaec58860
hexd8f8de72eb0

14910212222640 has 1280 divisors, whose sum is σ = 61898038272000. Its totient is φ = 3295071166464.

The previous prime is 14910212222599. The next prime is 14910212222657. The reversal of 14910212222640 is 4622221201941.

14910212222640 is a `hidden beast` number, since 1 + 4 + 9 + 1 + 0 + 2 + 1 + 2 + 2 + 2 + 2 + 640 = 666.

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 = 14910212222595 and 14910212222604.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4577895892 + ... + 4577899148.

It is an arithmetic number, because the mean of its divisors is an integer number (48357842400).

Almost surely, 214910212222640 is an apocalyptic number.

14910212222640 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 14910212222640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30949019136000).

14910212222640 is an abundant number, since it is smaller than the sum of its proper divisors (46987826049360).

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

14910212222640 is a wasteful number, since it uses less digits than its factorization.

14910212222640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3504 (or 3478 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 14910212222640 in words is "fourteen trillion, nine hundred ten billion, two hundred twelve million, two hundred twenty-two thousand, six hundred forty".