Search a number
-
+
14999944227840 = 21034511133141199
BaseRepresentation
bin1101101001000111001001…
…0110001110110000000000
31222002222110220101212020000
43122101302112032300000
53431224341210242330
651522513530120000
73105465413141415
oct332216226166000
958088426355200
1014999944227840
114863493518090
12182310ab80000
1384a6477c2cc0
1439c00331810c
151b02b27e9560
hexda47258ec00

14999944227840 has 3520 divisors, whose sum is σ = 67110891724800. Its totient is φ = 3153199104000.

The previous prime is 14999944227833. The next prime is 14999944227889. The reversal of 14999944227840 is 4872244999941.

14999944227840 is a `hidden beast` number, since 1 + 4 + 9 + 9 + 9 + 94 + 422 + 78 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3520).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 75376604061 + ... + 75376604259.

It is an arithmetic number, because the mean of its divisors is an integer number (19065594240).

Almost surely, 214999944227840 is an apocalyptic number.

14999944227840 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 14999944227840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33555445862400).

14999944227840 is an abundant number, since it is smaller than the sum of its proper divisors (52110947496960).

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

14999944227840 is a wasteful number, since it uses less digits than its factorization.

14999944227840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 14999944227840 in words is "fourteen trillion, nine hundred ninety-nine billion, nine hundred forty-four million, two hundred twenty-seven thousand, eight hundred forty".