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11402442404430 = 23571123214614011
BaseRepresentation
bin1010010111101101011010…
…0001110111001001001110
31111101001200211001001022120
42211323112201313021032
52443304200223420210
640130113144553410
72254541103162060
oct245732641671116
944331624031276
1011402442404430
1136a6826526970
121341a52a82866
13649326a770cc
142b5c49c75730
1514b90c703270
hexa5ed687724e

11402442404430 has 128 divisors (see below), whose sum is σ = 35601889222656. Its totient is φ = 2266323945600.

The previous prime is 11402442404411. The next prime is 11402442404447. The reversal of 11402442404430 is 3440424420411.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 11402442404391 and 11402442404400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 107253876 + ... + 107360135.

It is an arithmetic number, because the mean of its divisors is an integer number (278139759552).

Almost surely, 211402442404430 is an apocalyptic number.

11402442404430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11402442404430 is an abundant number, since it is smaller than the sum of its proper divisors (24199446818226).

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

11402442404430 is a wasteful number, since it uses less digits than its factorization.

11402442404430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214614062.

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 11402442404430 its reverse (3440424420411), we get a palindrome (14842866824841).

The spelling of 11402442404430 in words is "eleven trillion, four hundred two billion, four hundred forty-two million, four hundred four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 23 30 33 35 42 46 55 66 69 70 77 105 110 115 138 154 161 165 210 230 231 253 322 330 345 385 462 483 506 690 759 770 805 966 1155 1265 1518 1610 1771 2310 2415 2530 3542 3795 4830 5313 7590 8855 10626 17710 26565 53130 214614011 429228022 643842033 1073070055 1287684066 1502298077 2146140110 2360754121 3004596154 3219210165 4506894231 4721508242 4936122253 6438420330 7082262363 7511490385 9013788462 9872244506 11803770605 14164524726 14808366759 15022980770 16525278847 22534471155 23607541210 24680611265 29616733518 33050557694 34552855771 35411311815 45068942310 49361222530 49575836541 54297344783 69105711542 70822623630 74041833795 82626394235 99151673082 103658567313 108594689566 148083667590 162892034349 165252788470 172764278855 207317134626 247879182705 271486723915 325784068698 345528557710 380081413481 495758365410 518292836565 542973447830 760162826962 814460171745 1036585673130 1140244240443 1628920343490 1900407067405 2280488480886 3800814134810 5701221202215 11402442404430