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13421024442 = 23272174911823
BaseRepresentation
bin11000111111111010…
…01001010010111010
31021122100000200102100
430133331021102322
5204441240240232
610055431044230
7653404553100
oct143775112272
937570020370
1013421024442
115767900341
122726810676
13135b694aa7
14914643c70
155383b9c7c
hex31ff494ba

13421024442 has 144 divisors (see below), whose sum is σ = 35908883712. Its totient is φ = 3599688960.

The previous prime is 13421024413. The next prime is 13421024453. The reversal of 13421024442 is 24442012431.

13421024442 is a `hidden beast` number, since 1 + 3 + 4 + 210 + 2 + 4 + 442 = 666.

It is a super-2 number, since 2×134210244422 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7361143 + ... + 7362965.

It is an arithmetic number, because the mean of its divisors is an integer number (249367248).

Almost surely, 213421024442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13421024442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17954441856).

13421024442 is an abundant number, since it is smaller than the sum of its proper divisors (22487859270).

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

13421024442 is a wasteful number, since it uses less digits than its factorization.

13421024442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2353 (or 2343 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 13421024442 its reverse (24442012431), we get a palindrome (37863036873).

It can be divided in two parts, 134 and 21024442, that added together give a cube (21024576 = 2763).

The spelling of 13421024442 in words is "thirteen billion, four hundred twenty-one million, twenty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 49 51 63 98 102 119 126 147 153 238 294 306 357 441 491 714 833 882 982 1071 1473 1666 1823 2142 2499 2946 3437 3646 4419 4998 5469 6874 7497 8347 8838 10311 10938 12761 14994 16407 16694 20622 24059 25041 25522 30933 30991 32814 38283 48118 50082 58429 61866 61982 72177 75123 76566 89327 92973 114849 116858 144354 150246 175287 178654 185946 216531 216937 229698 267981 278919 350574 409003 433062 433874 525861 535962 557838 650811 803943 818006 895093 1051722 1227009 1301622 1518559 1607886 1790186 1952433 2454018 2685279 3037118 3681027 3904866 4555677 5370558 6265651 7362054 8055837 9111354 12531302 13667031 15216581 16111674 18796953 27334062 30433162 37593906 43859557 45649743 56390859 87719114 91299486 106516067 112781718 131578671 136949229 213032134 263157342 273898458 319548201 394736013 639096402 745612469 789472026 958644603 1491224938 1917289206 2236837407 4473674814 6710512221 13421024442