| Base | Representation |
|---|---|
| bin | 1000001011110100000… |
| … | …0100101011000010000 |
| 3 | 111102221100112002222121 |
| 4 | 2002331000211120100 |
| 5 | 4300432130003100 |
| 6 | 144332332144024 |
| 7 | 13105306166062 |
| oct | 2027500453020 |
| 9 | 442840462877 |
| 10 | 140610000400 |
| 11 | 546a5752501 |
| 12 | 23302008014 |
| 13 | 1034b07c68c |
| 14 | 6b3c659732 |
| 15 | 39ce56751a |
| hex | 20bd025610 |
140610000400 has 45 divisors (see below), whose sum is σ = 337833544711. Its totient is φ = 56241000320.
The previous prime is 140610000379. The next prime is 140610000407. The reversal of 140610000400 is 4000016041.
It is a happy number.
The square root of 140610000400 is 374980.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in 4 ways, for example, as 2999824 + 140607000576 = 1732^2 + 374976^2 .
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (140610000407) 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 8 ways as a sum of consecutive naturals, for example, 7490226 + ... + 7508974.
Almost surely, 2140610000400 is an apocalyptic number.
140610000400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
140610000400 is the 374980-th square number.
It is an amenable number.
140610000400 is an abundant number, since it is smaller than the sum of its proper divisors (197223544311).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
140610000400 is an frugal number, since it uses more digits than its factorization.
140610000400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 37516 (or 18756 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 16.
Multiplying 140610000400 by its sum of digits (16), we get a square (2249760006400 = 14999202).
140610000400 divided by its sum of digits (16) gives a square (8788125025 = 937452).
Adding to 140610000400 its reverse (4000016041), we get a palindrome (144610016441).
The spelling of 140610000400 in words is "one hundred forty billion, six hundred ten million, four hundred", and thus it is an aban number.
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