[go: up one dir, main page]

Search a number
-
+
1312143040 = 265132191277
BaseRepresentation
bin100111000110101…
…1011011011000000
310101110000202212101
41032031123123000
510141402034130
6334111440144
744342013625
oct11615333300
93343022771
101312143040
1161374153a
12307526054
1317baca100
14c63a234c
157a2dd1ca
hex4e35b6c0

1312143040 has 168 divisors, whose sum is σ = 3564239760. Its totient is φ = 458625024.

The previous prime is 1312143037. The next prime is 1312143061. The reversal of 1312143040 is 403412131.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 1312142999 and 1312143017.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1026882 + ... + 1028158.

Almost surely, 21312143040 is an apocalyptic number.

1312143040 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 1312143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782119880).

1312143040 is an abundant number, since it is smaller than the sum of its proper divisors (2252096720).

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

1312143040 is a wasteful number, since it uses less digits than its factorization.

1312143040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1312143040 is about 36223.5150144212. The cubic root of 1312143040 is about 1094.7805179943.

Adding to 1312143040 its reverse (403412131), we get a palindrome (1715555171).

The spelling of 1312143040 in words is "one billion, three hundred twelve million, one hundred forty-three thousand, forty".