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14135443320 = 2335294394463
BaseRepresentation
bin11010010101000100…
…11011111101111000
31100111010022220212210
431022202123331320
5212422133141240
610254351335120
71010201200005
oct151242337570
940433286783
1014135443320
115aa40a8869
1228a5b214a0
1314436b215b
149814928ac
1557ae89780
hex34a89bf78

14135443320 has 128 divisors (see below), whose sum is σ = 44889292800. Its totient is φ = 3554793984.

The previous prime is 14135443307. The next prime is 14135443367. The reversal of 14135443320 is 2334453141.

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 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, 102409 + ... + 196871.

It is an arithmetic number, because the mean of its divisors is an integer number (350697600).

Almost surely, 214135443320 is an apocalyptic number.

14135443320 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 14135443320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22444646400).

14135443320 is an abundant number, since it is smaller than the sum of its proper divisors (30753849480).

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

14135443320 is a wasteful number, since it uses less digits than its factorization.

14135443320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94549 (or 94545 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 14135443320 its reverse (2334453141), we get a palindrome (16469896461).

The spelling of 14135443320 in words is "fourteen billion, one hundred thirty-five million, four hundred forty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 43 58 60 86 87 116 120 129 145 172 174 215 232 258 290 344 348 430 435 516 580 645 696 860 870 1032 1160 1247 1290 1720 1740 2494 2580 3480 3741 4988 5160 6235 7482 9976 12470 14964 18705 24940 29928 37410 49880 74820 94463 149640 188926 283389 377852 472315 566778 755704 944630 1133556 1416945 1889260 2267112 2739427 2833890 3778520 4061909 5478854 5667780 8123818 8218281 10957708 11335560 12185727 13697135 16247636 16436562 20309545 21915416 24371454 27394270 32495272 32873124 40619090 41091405 48742908 54788540 60928635 65746248 81238180 82182810 97485816 109577080 117795361 121857270 162476360 164365620 235590722 243714540 328731240 353386083 471181444 487429080 588976805 706772166 942362888 1177953610 1413544332 1766930415 2355907220 2827088664 3533860830 4711814440 7067721660 14135443320