Search a number
-
+
14014949760 = 2732571931801
BaseRepresentation
bin11010000110101101…
…10010100110000000
31100011201121012210100
431003112302212000
5212200311343020
610234405002400
71004206051560
oct150326624600
940151535710
1014014949760
115a4208a209
1228716b3400
1314247446a6
1496d488da0
155705d7a90
hex3435b2980

14014949760 has 384 divisors, whose sum is σ = 55626442560. Its totient is φ = 3185049600.

The previous prime is 14014949747. The next prime is 14014949761. The reversal of 14014949760 is 6794941041.

14014949760 is a `hidden beast` number, since 14 + 0 + 1 + 494 + 97 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14014949761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7780860 + ... + 7782660.

Almost surely, 214014949760 is an apocalyptic number.

14014949760 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 14014949760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27813221280).

14014949760 is an abundant number, since it is smaller than the sum of its proper divisors (41611492800).

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

14014949760 is a wasteful number, since it uses less digits than its factorization.

14014949760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2026 (or 2011 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 14014949760 in words is "fourteen billion, fourteen million, nine hundred forty-nine thousand, seven hundred sixty".