Search a number
-
+
1314433131040 = 2558215207069
BaseRepresentation
bin10011001000001010010…
…100011110001000100000
311122122210002211110220001
4103020022110132020200
5133013424340143130
62443501531425344
7163651610160541
oct23101224361040
94578702743801
101314433131040
114674a2265167
121928b4bb5254
1396c48377a73
14478943ac4c8
15242d10b36ca
hex1320a51e220

1314433131040 has 24 divisors (see below), whose sum is σ = 3105348272460. Its totient is φ = 525773252352.

The previous prime is 1314433131023. The next prime is 1314433131103. The reversal of 1314433131040 is 401313344131.

It can be written as a sum of positive squares in 2 ways, for example, as 1282230110736 + 32203020304 = 1132356^2 + 179452^2 .

It is a super-2 number, since 2×13144331310402 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4107603375 + ... + 4107603694.

Almost surely, 21314433131040 is an apocalyptic number.

1314433131040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1314433131040 is an abundant number, since it is smaller than the sum of its proper divisors (1790915141420).

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

1314433131040 is an equidigital number, since it uses as much as digits as its factorization.

1314433131040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8215207084 (or 8215207076 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 1314433131040 its reverse (401313344131), we get a palindrome (1715746475171).

The spelling of 1314433131040 in words is "one trillion, three hundred fourteen billion, four hundred thirty-three million, one hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 8215207069 16430414138 32860828276 41076035345 65721656552 82152070690 131443313104 164304141380 262886626208 328608282760 657216565520 1314433131040