[go: up one dir, main page]

Search a number
-
+
1414904010 = 235136195861
BaseRepresentation
bin101010001010101…
…1011100011001010
310122121101120102020
41110111123203022
510344203412020
6352222145310
750030325402
oct12425334312
93577346366
101414904010
11666749363
12335a22236
13197199510
14d5cb1802
158433ac40
hex5455b8ca

1414904010 has 64 divisors (see below), whose sum is σ = 3663515520. Its totient is φ = 347662080.

The previous prime is 1414903981. The next prime is 1414904017. The reversal of 1414904010 is 104094141.

It is not an unprimeable number, because it can be changed into a prime (1414904017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 238480 + ... + 244340.

It is an arithmetic number, because the mean of its divisors is an integer number (57242430).

Almost surely, 21414904010 is an apocalyptic number.

1414904010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1414904010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1831757760).

1414904010 is an abundant number, since it is smaller than the sum of its proper divisors (2248611510).

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

1414904010 is a wasteful number, since it uses less digits than its factorization.

1414904010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6503.

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 1414904010 is about 37615.2098226236. The cubic root of 1414904010 is about 1122.6446881380.

Adding to 1414904010 its reverse (104094141), we get a palindrome (1518998151).

The spelling of 1414904010 in words is "one billion, four hundred fourteen million, nine hundred four thousand, ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 619 1238 1857 3095 3714 5861 6190 8047 9285 11722 16094 17583 18570 24141 29305 35166 40235 48282 58610 76193 80470 87915 120705 152386 175830 228579 241410 380965 457158 761930 1142895 2285790 3627959 7255918 10883877 18139795 21767754 36279590 47163467 54419385 94326934 108838770 141490401 235817335 282980802 471634670 707452005 1414904010