Search a number
-
+
14980278240 = 2533541831019
BaseRepresentation
bin11011111001110010…
…01110011111100000
31102200000000222112000
431330321032133200
5221134422400430
610514251204000
71040140156404
oct157471163740
942600028460
1014980278240
116397a81844
122aa0a46600
131549732485
14a2176d104
155ca21ae60
hex37ce4e7e0

14980278240 has 384 divisors, whose sum is σ = 54410227200. Its totient is φ = 3846574080.

The previous prime is 14980278233. The next prime is 14980278241. The reversal of 14980278240 is 4287208941.

It is a super-2 number, since 2×149802782402 (a number of 21 digits) contains 22 as substring.

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 (14980278241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14700451 + ... + 14701469.

It is an arithmetic number, because the mean of its divisors is an integer number (141693300).

Almost surely, 214980278240 is an apocalyptic number.

14980278240 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 14980278240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27205113600).

14980278240 is an abundant number, since it is smaller than the sum of its proper divisors (39429948960).

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

14980278240 is a wasteful number, since it uses less digits than its factorization.

14980278240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 14980278240 in words is "fourteen billion, nine hundred eighty million, two hundred seventy-eight thousand, two hundred forty".