Base | Representation |
---|---|
bin | 10100111101000001101… |
… | …111111100000000000000 |
3 | 12002122200022010002100000 |
4 | 110331001233330000000 |
5 | 142042422241122403 |
6 | 3021253325200000 |
7 | 206013326441400 |
oct | 24750157740000 |
9 | 5078608102300 |
10 | 1439917129728 |
11 | 505735754700 |
12 | 1b3095400000 |
13 | a5a2576276c |
14 | 4d999ba4800 |
15 | 276c77277a3 |
hex | 14f41bfc000 |
1439917129728 has 1620 divisors, whose sum is σ = 5606040758136. Its totient is φ = 367873228800.
The previous prime is 1439917129723. The next prime is 1439917129787. The reversal of 1439917129728 is 8279217199341.
1439917129728 is a `hidden beast` number, since 1 + 4 + 399 + 171 + 2 + 9 + 72 + 8 = 666.
It is a super-2 number, since 2×14399171297282 (a number of 25 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a nude number because it is divisible by every one of its digits.
Its product of digits (13716864) is a multiple of the sum of its prime divisors (84).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1439917129723) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 23605198818 + ... + 23605198878.
Almost surely, 21439917129728 is an apocalyptic number.
1439917129728 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 1439917129728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2803020379068).
1439917129728 is an abundant number, since it is smaller than the sum of its proper divisors (4166123628408).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1439917129728 is an frugal number, since it uses more digits than its factorization.
1439917129728 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 140 (or 84 counting only the distinct ones).
The product of its digits is 13716864, while the sum is 63.
The spelling of 1439917129728 in words is "one trillion, four hundred thirty-nine billion, nine hundred seventeen million, one hundred twenty-nine thousand, seven hundred twenty-eight".
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