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14300342401240 = 23571392631397069
BaseRepresentation
bin1101000000011000111011…
…0101000011100011011000
31212122002200110010202201001
43100012032311003203120
53333244100123314430
650225253035034344
73004110546551320
oct320061665034330
955562613122631
1014300342401240
114613817527015
12172b60389b9b4
137c96939a812c
143761d6c60280
1519beb86943ca
hexd018ed438d8

14300342401240 has 128 divisors (see below), whose sum is σ = 37177709184000. Its totient is φ = 4849189498368.

The previous prime is 14300342401237. The next prime is 14300342401249. The reversal of 14300342401240 is 4210424300341.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 14300342401199 and 14300342401208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14300342401249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9537426 + ... + 10934494.

It is an arithmetic number, because the mean of its divisors is an integer number (290450853000).

Almost surely, 214300342401240 is an apocalyptic number.

14300342401240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14300342401240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18588854592000).

14300342401240 is an abundant number, since it is smaller than the sum of its proper divisors (22877366782760).

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

14300342401240 is a wasteful number, since it uses less digits than its factorization.

14300342401240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397489 (or 1397485 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 14300342401240 its reverse (4210424300341), we get a palindrome (18510766701581).

The spelling of 14300342401240 in words is "fourteen trillion, three hundred billion, three hundred forty-two million, four hundred one thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 139 140 263 278 280 526 556 695 973 1052 1112 1315 1390 1841 1946 2104 2630 2780 3682 3892 4865 5260 5560 7364 7784 9205 9730 10520 14728 18410 19460 36557 36820 38920 73114 73640 146228 182785 255899 292456 365570 511798 731140 1023596 1279495 1397069 1462280 2047192 2558990 2794138 5117980 5588276 6985345 9779483 10235960 11176552 13970690 19558966 27941380 39117932 48897415 55882760 78235864 97794830 194192591 195589660 367429147 388385182 391179320 734858294 776770364 970962955 1359348137 1469716588 1553540728 1837145735 1941925910 2572004029 2718696274 2939433176 3674291470 3883851820 5144008058 5437392548 6796740685 7348582940 7767703640 10288016116 10874785096 12860020145 13593481370 14697165880 20576032232 25720040290 27186962740 51072651433 51440080580 54373925480 102145302866 102880161160 204290605732 255363257165 357508560031 408581211464 510726514330 715017120062 1021453028660 1430034240124 1787542800155 2042906057320 2860068480248 3575085600310 7150171200620 14300342401240