Search a number
-
+
144034301414340 = 223251283623687111
BaseRepresentation
bin100000101111111110011001…
…010111110000101111000100
3200212222112201010002122002200
4200233332121113300233010
5122334324222130224330
61230200240011234500
742224064155354511
oct4057763127605704
9625875633078080
10144034301414340
1141991671200127
12141a2990148a30
13624a4b7a973bc
14277d42404a308
15119b9e1a33a60
hex82ff995f0bc4

144034301414340 has 72 divisors (see below), whose sum is σ = 437244581487168. Its totient is φ = 38379210000960.

The previous prime is 144034301414303. The next prime is 144034301414351. The reversal of 144034301414340 is 43414103430441.

144034301414340 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 3 + 4 + 301 + 4 + 1 + 4 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 144034301414295 and 144034301414304.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 311612616 + ... + 312074495.

It is an arithmetic number, because the mean of its divisors is an integer number (6072841409544).

Almost surely, 2144034301414340 is an apocalyptic number.

144034301414340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144034301414340 is an abundant number, since it is smaller than the sum of its proper divisors (293210280072828).

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

144034301414340 is a wasteful number, since it uses less digits than its factorization.

144034301414340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623688409 (or 623688404 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 144034301414340 its reverse (43414103430441), we get a palindrome (187448404844781).

The spelling of 144034301414340 in words is "one hundred forty-four trillion, thirty-four billion, three hundred one million, four hundred fourteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1283 2566 3849 5132 6415 7698 11547 12830 15396 19245 23094 25660 38490 46188 57735 76980 115470 230940 623687111 1247374222 1871061333 2494748444 3118435555 3742122666 5613183999 6236871110 7484245332 9355306665 11226367998 12473742220 18710613330 22452735996 28065919995 37421226660 56131839990 112263679980 800190563413 1600381126826 2400571690239 3200762253652 4000952817065 4801143380478 7201715070717 8001905634130 9602286760956 12002858451195 14403430141434 16003811268260 24005716902390 28806860282868 36008575353585 48011433804780 72017150707170 144034301414340