Search a number
-
+
14154000000 = 273567337
BaseRepresentation
bin11010010111010010…
…01110011010000000
31100112102020200212020
431023221032122000
5212441411000000
610300253201440
71010515005060
oct151351163200
940472220766
1014154000000
116003622768
1228b0190280
1314474ab63a
14983b233a0
1557c902ba0
hex34ba4e680

14154000000 has 448 divisors, whose sum is σ = 53868060480. Its totient is φ = 3225600000.

The previous prime is 14153999983. The next prime is 14154000037. The reversal of 14154000000 is 45141.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 41999832 + ... + 42000168.

Almost surely, 214154000000 is an apocalyptic number.

14154000000 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 14154000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26934030240).

14154000000 is an abundant number, since it is smaller than the sum of its proper divisors (39714060480).

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

14154000000 is an frugal number, since it uses more digits than its factorization.

14154000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 14154000000 its reverse (45141), we get a palindrome (14154045141).

The spelling of 14154000000 in words is "fourteen billion, one hundred fifty-four million", and thus it is an aban number.