Search a number
-
+
14999390784 = 2631472
BaseRepresentation
bin11011111100000100…
…01000101001000000
31102201100000000000000
431332002020221000
5221204321001114
610520213000000
71040461501200
oct157602105100
942640000000
1014999390784
1163a7846334
122aa7323000
131550694981
14a24106400
155cbc43e09
hex37e088a40

14999390784 has 315 divisors, whose sum is σ = 51935865267. Its totient is φ = 4285540224.

The previous prime is 14999390657. The next prime is 14999390803. The reversal of 14999390784 is 48709399941.

The square root of 14999390784 is 122472.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×149993907842 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2142770109 + ... + 2142770115.

Almost surely, 214999390784 is an apocalyptic number.

14999390784 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

14999390784 is the 122472-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14999390784

14999390784 is an abundant number, since it is smaller than the sum of its proper divisors (36936474483).

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

14999390784 is an frugal number, since it uses more digits than its factorization.

14999390784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 14999390784 in words is "fourteen billion, nine hundred ninety-nine million, three hundred ninety thousand, seven hundred eighty-four".