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1414320110505 = 3456581530641
BaseRepresentation
bin10100100101001100000…
…011000011101110101001
312000012121101210210010000
4110211030003003232221
5141133011422014010
63001421340213213
7204116112404241
oct24451403035651
95005541723100
101414320110505
114a589a916265
121aa130b3a209
13a34a6635343
144c64c40cb21
1526bca4257c0
hex1494c0c3ba9

1414320110505 has 40 divisors (see below), whose sum is σ = 2535689777544. Its totient is φ = 754188019200.

The previous prime is 1414320110471. The next prime is 1414320110509. The reversal of 1414320110505 is 5050110234141.

1414320110505 is a `hidden beast` number, since 1 + 4 + 1 + 43 + 2 + 0 + 110 + 505 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 106286432256 + 1308033678249 = 326016^2 + 1143693^2 .

It is not a de Polignac number, because 1414320110505 - 213 = 1414320102313 is a prime.

It is a super-2 number, since 2×14143201105052 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1414320110509) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2399985 + ... + 2930625.

Almost surely, 21414320110505 is an apocalyptic number.

1414320110505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1414320110505 is a deficient number, since it is larger than the sum of its proper divisors (1121369667039).

1414320110505 is an equidigital number, since it uses as much as digits as its factorization.

1414320110505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537239 (or 537230 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 1414320110505 its reverse (5050110234141), we get a palindrome (6464430344646).

The spelling of 1414320110505 in words is "one trillion, four hundred fourteen billion, three hundred twenty million, one hundred ten thousand, five hundred five".

Divisors: 1 3 5 9 15 27 45 81 135 405 6581 19743 32905 59229 98715 177687 296145 530641 533061 888435 1591923 2653205 2665305 4775769 7959615 14327307 23878845 42981921 71636535 214909605 3492148421 10476445263 17460742105 31429335789 52382226315 94288007367 157146678945 282864022101 471440036835 1414320110505