Search a number
-
+
14412210513440 = 255731233922133
BaseRepresentation
bin1101000110111001101010…
…1100000010011000100000
31220000210102201201200020212
43101232122230002120200
53342112201342412230
650352513400553252
73015151004041115
oct321563254023040
956023381650225
1014412210513440
114657203122503
121749224182828
138070b122256c
1437b7aa1aa90c
1519ed6479b895
hexd1b9ab02620

14412210513440 has 48 divisors (see below), whose sum is σ = 34515269932248. Its totient is φ = 5685913184256.

The previous prime is 14412210513433. The next prime is 14412210513443. The reversal of 14412210513440 is 4431501221441.

It can be written as a sum of positive squares in 4 ways, for example, as 10860689349136 + 3551521164304 = 3295556^2 + 1884548^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 14412210513397 and 14412210513406.

It is not an unprimeable number, because it can be changed into a prime (14412210513443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 616949387 + ... + 616972746.

Almost surely, 214412210513440 is an apocalyptic number.

14412210513440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14412210513440 is an abundant number, since it is smaller than the sum of its proper divisors (20103059418808).

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

14412210513440 is a wasteful number, since it uses less digits than its factorization.

14412210513440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233922221 (or 1233922213 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

Adding to 14412210513440 its reverse (4431501221441), we get a palindrome (18843711734881).

The spelling of 14412210513440 in words is "fourteen trillion, four hundred twelve billion, two hundred ten million, five hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 73 80 146 160 292 365 584 730 1168 1460 2336 2920 5840 11680 1233922133 2467844266 4935688532 6169610665 9871377064 12339221330 19742754128 24678442660 39485508256 49356885320 90076315709 98713770640 180152631418 197427541280 360305262836 450381578545 720610525672 900763157090 1441221051344 1801526314180 2882442102688 3603052628360 7206105256720 14412210513440