Search a number
-
+
14507817984 = 210341115901
BaseRepresentation
bin11011000001011101…
…11011110000000000
31101110002000111220000
431200232323300000
5214203000133414
610355332520000
71022342263302
oct154056736000
941402014800
1014507817984
116175315420
12298a780000
1314a28a05aa
149b8b05972
1559d9e2b09
hex360bbbc00

14507817984 has 220 divisors, whose sum is σ = 47264624088. Its totient is φ = 4396032000.

The previous prime is 14507817967. The next prime is 14507817991. The reversal of 14507817984 is 48971870541.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 14507817984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 904434 + ... + 920334.

Almost surely, 214507817984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14507817984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23632312044).

14507817984 is an abundant number, since it is smaller than the sum of its proper divisors (32756806104).

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

14507817984 is a wasteful number, since it uses less digits than its factorization.

14507817984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15944 (or 15917 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 14507817984 in words is "fourteen billion, five hundred seven million, eight hundred seventeen thousand, nine hundred eighty-four".