Search a number
-
+
14112042000 = 2435372771213
BaseRepresentation
bin11010010010010010…
…01010110000010000
31100102111022000022020
431021021022300100
5212400140321000
610252154011440
71006465243410
oct151111126020
940374260266
1014112042000
115a91975031
12289a116b80
13143b8aa814
1497c320640
15578db5ba0
hex34924ac10

14112042000 has 320 divisors, whose sum is σ = 52227561984. Its totient is φ = 3211315200.

The previous prime is 14112041963. The next prime is 14112042041. The reversal of 14112042000 is 24021141.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11633394 + ... + 11634606.

Almost surely, 214112042000 is an apocalyptic number.

14112042000 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 14112042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26113780992).

14112042000 is an abundant number, since it is smaller than the sum of its proper divisors (38115519984).

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

14112042000 is a wasteful number, since it uses less digits than its factorization.

14112042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1523 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 14112042000 its reverse (24021141), we get a palindrome (14136063141).

The spelling of 14112042000 in words is "fourteen billion, one hundred twelve million, forty-two thousand".