Search a number
-
+
11420040224310 = 23511319311744559
BaseRepresentation
bin1010011000101110111101…
…1100001101111000110110
31111102202010020102220221020
42212023233130031320312
52444101220244134220
640142143303202010
72256033146162304
oct246135734157066
944382106386836
1011420040224310
113703236a94463
121345344446306
1364ab9c881993
142b6a390d1274
1514c0dc617040
hexa62ef70de36

11420040224310 has 64 divisors (see below), whose sum is σ = 27664981263360. Its totient is φ = 3016829258240.

The previous prime is 11420040224269. The next prime is 11420040224317. The reversal of 11420040224310 is 1342204002411.

It is a super-2 number, since 2×114200402243102 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11420040224317) 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, 5673811 + ... + 7418369.

It is an arithmetic number, because the mean of its divisors is an integer number (432265332240).

Almost surely, 211420040224310 is an apocalyptic number.

11420040224310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11420040224310 is an abundant number, since it is smaller than the sum of its proper divisors (16244941039050).

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

11420040224310 is a wasteful number, since it uses less digits than its factorization.

11420040224310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1746613.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 11420040224310 its reverse (1342204002411), we get a palindrome (12762244226721).

The spelling of 11420040224310 in words is "eleven trillion, four hundred twenty billion, forty million, two hundred twenty-four thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 113 226 339 565 678 1130 1695 1931 3390 3862 5793 9655 11586 19310 28965 57930 218203 436406 654609 1091015 1309218 1744559 2182030 3273045 3489118 5233677 6546090 8722795 10467354 17445590 26168385 52336770 197135167 394270334 591405501 985675835 1182811002 1971351670 2957027505 3368743429 5914055010 6737486858 10106230287 16843717145 20212460574 33687434290 50531151435 101062302870 380668007477 761336014954 1142004022431 1903340037385 2284008044862 3806680074770 5710020112155 11420040224310