Base | Representation |
---|---|
bin | 1000001100010000100… |
… | …1101100101011000000 |
3 | 111110020201000002101220 |
4 | 2003010021230223000 |
5 | 4301203314030310 |
6 | 144352252355040 |
7 | 13111262550540 |
oct | 2030411545300 |
9 | 443221002356 |
10 | 140729830080 |
11 | 547573582a4 |
12 | 23336175a80 |
13 | 10369b46c08 |
14 | 6b5052d320 |
15 | 39d9d37670 |
hex | 20c426cac0 |
140729830080 has 448 divisors, whose sum is σ = 524738608128. Its totient is φ = 31284264960.
The previous prime is 140729830079. The next prime is 140729830081. The reversal of 140729830080 is 80038927041.
It is an interprime number because it is at equal distance from previous prime (140729830079) and next prime (140729830081).
It is a tau number, because it is divible by the number of its divisors (448).
It is a super-3 number, since 3×1407298300803 (a number of 34 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (42).
It is not an unprimeable number, because it can be changed into a prime (140729830081) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 122054784 + ... + 122055936.
It is an arithmetic number, because the mean of its divisors is an integer number (1171291536).
Almost surely, 2140729830080 is an apocalyptic number.
140729830080 is a gapful number since it is divisible by the number (10) 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 140729830080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262369304064).
140729830080 is an abundant number, since it is smaller than the sum of its proper divisors (384008778048).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
140729830080 is a wasteful number, since it uses less digits than its factorization.
140729830080 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1664 (or 1654 counting only the distinct ones).
The product of its (nonzero) digits is 96768, while the sum is 42.
The spelling of 140729830080 in words is "one hundred forty billion, seven hundred twenty-nine million, eight hundred thirty thousand, eighty".
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