Search a number
-
+
14456049653760 = 21135111314872213
BaseRepresentation
bin1101001001011100111110…
…1101000101100000000000
31220011222120221210202012120
43102113033231011200000
53343321442202410020
650425003441524240
73021262246425621
oct322271755054000
956158527722176
1014456049653760
11467385a185490
121755819943680
1380b279794690
1437d9685b7a48
151a107d331740
hexd25cfb45800

14456049653760 has 768 divisors, whose sum is σ = 54394498529280. Its totient is φ = 3231283937280.

The previous prime is 14456049653729. The next prime is 14456049653827. The reversal of 14456049653760 is 6735694065441.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 14456049653694 and 14456049653703.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 6532330414 + ... + 6532332626.

It is an arithmetic number, because the mean of its divisors is an integer number (70826169960).

Almost surely, 214456049653760 is an apocalyptic number.

14456049653760 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 14456049653760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27197249264640).

14456049653760 is an abundant number, since it is smaller than the sum of its proper divisors (39938448875520).

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

14456049653760 is a wasteful number, since it uses less digits than its factorization.

14456049653760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3754 (or 3734 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 60.

The spelling of 14456049653760 in words is "fourteen trillion, four hundred fifty-six billion, forty-nine million, six hundred fifty-three thousand, seven hundred sixty".