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14439562368 = 2737114143277
BaseRepresentation
bin11010111001010101…
…00011110010000000
31101021022120202210020
431130222203302000
5214033011443433
610344453533440
71020553153320
oct153452436200
941238522706
1014439562368
11613a835a20
12296b944280
1314916c2a5a
149ada19280
15597a0dcb3
hex35caa3c80

14439562368 has 512 divisors, whose sum is σ = 50305812480. Its totient is φ = 3561062400.

The previous prime is 14439562363. The next prime is 14439562393. The reversal of 14439562368 is 86326593441.

It is a super-2 number, since 2×144395623682 (a number of 21 digits) contains 22 as substring.

Its product of digits (3732480) is a multiple of the sum of its prime divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 14439562368.

It is not an unprimeable number, because it can be changed into a prime (14439562363) 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, 52128246 + ... + 52128522.

It is an arithmetic number, because the mean of its divisors is an integer number (98253540).

Almost surely, 214439562368 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 14439562368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25152906240).

14439562368 is an abundant number, since it is smaller than the sum of its proper divisors (35866250112).

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

14439562368 is a wasteful number, since it uses less digits than its factorization.

14439562368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 384 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 51.

The spelling of 14439562368 in words is "fourteen billion, four hundred thirty-nine million, five hundred sixty-two thousand, three hundred sixty-eight".