Search a number
-
+
14488253472 = 25371122361127
BaseRepresentation
bin11010111111001000…
…10011010000100000
31101101201012112102110
431133210103100200
5214132443102342
610353353315320
71022014060020
oct153744232040
941351175373
1014488253472
116165272300
122984105b40
13149b810464
149b6291a80
1559be2ac9c
hex35f913420

14488253472 has 576 divisors, whose sum is σ = 51068731392. Its totient is φ = 3512678400.

The previous prime is 14488253471. The next prime is 14488253489. The reversal of 14488253472 is 27435288441.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (14488253471) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 114080673 + ... + 114080799.

It is an arithmetic number, because the mean of its divisors is an integer number (88660992).

Almost surely, 214488253472 is an apocalyptic number.

14488253472 is a gapful number since it is divisible by the number (12) 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 14488253472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25534365696).

14488253472 is an abundant number, since it is smaller than the sum of its proper divisors (36580477920).

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

14488253472 is a wasteful number, since it uses less digits than its factorization.

14488253472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 234 counting only the distinct ones).

The product of its digits is 1720320, while the sum is 48.

The spelling of 14488253472 in words is "fourteen billion, four hundred eighty-eight million, two hundred fifty-three thousand, four hundred seventy-two".