Search a number
-
+
4114243402320 = 243565772606459
BaseRepresentation
bin111011110111101100000…
…001000011101001010000
3112120022120200210211222010
4323313230001003221100
51014401432302333240
612430020214342520
7603146533622652
oct73675401035120
915508520724863
104114243402320
111346928162747
1256544b95aa40
1323ac8248968c
141031b7d166d2
157204a8a7280
hex3bdec043a50

4114243402320 has 80 divisors (see below), whose sum is σ = 12756098646720. Its totient is φ = 1096964339712.

The previous prime is 4114243402271. The next prime is 4114243402343. The reversal of 4114243402320 is 232043424114.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 275251 + ... + 2881709.

It is an arithmetic number, because the mean of its divisors is an integer number (159451233084).

Almost surely, 24114243402320 is an apocalyptic number.

4114243402320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4114243402320 is an abundant number, since it is smaller than the sum of its proper divisors (8641855244400).

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

4114243402320 is a wasteful number, since it uses less digits than its factorization.

4114243402320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2613052 (or 2613046 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 4114243402320 its reverse (232043424114), we get a palindrome (4346286826434).

The spelling of 4114243402320 in words is "four trillion, one hundred fourteen billion, two hundred forty-three million, four hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 6577 13154 19731 26308 32885 39462 52616 65770 78924 98655 105232 131540 157848 197310 263080 315696 394620 526160 789240 1578480 2606459 5212918 7819377 10425836 13032295 15638754 20851672 26064590 31277508 39096885 41703344 52129180 62555016 78193770 104258360 125110032 156387540 208516720 312775080 625550160 17142680843 34285361686 51428042529 68570723372 85713404215 102856085058 137141446744 171426808430 205712170116 257140212645 274282893488 342853616860 411424340232 514280425290 685707233720 822848680464 1028560850580 1371414467440 2057121701160 4114243402320