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14390766044928 = 28327131011275351
BaseRepresentation
bin1101000101101001110001…
…1111111000011100000000
31212221202002020011210201100
43101122130133320130000
53341234242101414203
650335005431334400
73013461412052550
oct321323437703400
955852066153640
1014390766044928
1146490a92a1959
12174503a521400
138050744c9740
1437a734119160
1519e50bd04ea3
hexd169c7f8700

14390766044928 has 864 divisors, whose sum is σ = 51988647739392. Its totient is φ = 3727503360000.

The previous prime is 14390766044911. The next prime is 14390766044929. The reversal of 14390766044928 is 82944066709341.

It is a happy number.

14390766044928 is a `hidden beast` number, since 1 + 43 + 9 + 0 + 76 + 60 + 449 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14390766044929) 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, 2689357453 + ... + 2689362803.

Almost surely, 214390766044928 is an apocalyptic number.

14390766044928 is a gapful number since it is divisible by the number (18) 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 14390766044928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25994323869696).

14390766044928 is an abundant number, since it is smaller than the sum of its proper divisors (37597881694464).

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

14390766044928 is a wasteful number, since it uses less digits than its factorization.

14390766044928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5621 (or 5604 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 14390766044928 in words is "fourteen trillion, three hundred ninety billion, seven hundred sixty-six million, forty-four thousand, nine hundred twenty-eight".