Search a number
-
+
14988423306304 = 2672937127245513
BaseRepresentation
bin1101101000011100001110…
…1001011001110001000000
31222001212201222202101222101
43122013003221121301000
53431032242331300204
651513330412520144
73104610050004040
oct332070351316100
958055658671871
1014988423306304
114859611233228
121820a34780054
1384952c999876
1439b62d1a7720
151aed3b15cea4
hexda1c3a59c40

14988423306304 has 224 divisors, whose sum is σ = 36398609326080. Its totient is φ = 5986941714432.

The previous prime is 14988423306301. The next prime is 14988423306401. The reversal of 14988423306304 is 40360332488941.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×149884233063042 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14988423306301) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 60926652 + ... + 61172164.

Almost surely, 214988423306304 is an apocalyptic number.

14988423306304 is a gapful number since it is divisible by the number (14) 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 14988423306304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18199304663040).

14988423306304 is an abundant number, since it is smaller than the sum of its proper divisors (21410186019776).

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

14988423306304 is a wasteful number, since it uses less digits than its factorization.

14988423306304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245725 (or 245715 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 55.

The spelling of 14988423306304 in words is "fourteen trillion, nine hundred eighty-eight billion, four hundred twenty-three million, three hundred six thousand, three hundred four".