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14100353340 = 22351927194549
BaseRepresentation
bin11010010000111001…
…00101000100111100
31100101200022011110220
431020130211010330
5212334142301330
610251055301340
71006264011603
oct151034450474
940350264426
1014100353340
115a86311187
12289621a850
131439347458
1497a95aa3a
15577d57710
hex34872513c

14100353340 has 96 divisors (see below), whose sum is σ = 41583360000. Its totient is φ = 3560101632.

The previous prime is 14100353339. The next prime is 14100353341. The reversal of 14100353340 is 4335300141.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14100353339) and next prime (14100353341).

It is a self number, because there is not a number n which added to its sum of digits gives 14100353340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14100353341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3097386 + ... + 3101934.

It is an arithmetic number, because the mean of its divisors is an integer number (433160000).

Almost surely, 214100353340 is an apocalyptic number.

14100353340 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 14100353340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20791680000).

14100353340 is an abundant number, since it is smaller than the sum of its proper divisors (27483006660).

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

14100353340 is a wasteful number, since it uses less digits than its factorization.

14100353340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7299 (or 7297 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 14100353340 its reverse (4335300141), we get a palindrome (18435653481).

The spelling of 14100353340 in words is "fourteen billion, one hundred million, three hundred fifty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 2719 4549 5438 8157 9098 10876 13595 13647 16314 18196 22745 27190 27294 32628 40785 45490 51661 54380 54588 68235 81570 86431 90980 103322 136470 154983 163140 172862 206644 258305 259293 272940 309966 345724 432155 516610 518586 619932 774915 864310 1033220 1037172 1296465 1549830 1728620 2592930 3099660 5185860 12368731 24737462 37106193 49474924 61843655 74212386 123687310 148424772 185530965 235005889 247374620 371061930 470011778 705017667 742123860 940023556 1175029445 1410035334 2350058890 2820070668 3525088335 4700117780 7050176670 14100353340