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20142013412224 = 271161277784449
BaseRepresentation
bin1001001010001101011011…
…00011011111001110000000
32122022120001112202022202001
410211012231203133032000
510120001320413142344
6110501040242233344
74146132604063444
oct445065543371600
978276045668661
1020142013412224
1164661a8519620
1223137a7655854
13b314cb037ac2
144d8c43036824
1524de17718ed4
hex1251ad8df380

20142013412224 has 128 divisors (see below), whose sum is σ = 44508710412000. Its totient is φ = 9002021683200.

The previous prime is 20142013412203. The next prime is 20142013412233. The reversal of 20142013412224 is 42221431024102.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 20142013412192 and 20142013412201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238468752 + ... + 238553200.

Almost surely, 220142013412224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20142013412224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22254355206000).

20142013412224 is an abundant number, since it is smaller than the sum of its proper divisors (24366696999776).

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

20142013412224 is a wasteful number, since it uses less digits than its factorization.

20142013412224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87312 (or 87300 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 20142013412224 its reverse (42221431024102), we get a palindrome (62363444436326).

The spelling of 20142013412224 in words is "twenty trillion, one hundred forty-two billion, thirteen million, four hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 61 64 88 122 128 176 244 352 488 671 704 976 1342 1408 1952 2684 2777 3904 5368 5554 7808 10736 11108 21472 22216 30547 42944 44432 61094 84449 85888 88864 122188 168898 169397 177728 244376 337796 338794 355456 488752 675592 677588 928939 977504 1351184 1355176 1857878 1863367 1955008 2702368 2710352 3715756 3726734 3910016 5151389 5404736 5420704 7431512 7453468 10302778 10809472 10841408 14863024 14906936 20605556 21682816 29726048 29813872 41211112 56665279 59452096 59627744 82422224 113330558 118904192 119255488 164844448 226661116 234514873 238510976 329688896 453322232 469029746 659377792 906644464 938059492 1813288928 1876118984 2579663603 3626577856 3752237968 5159327206 7253155712 7504475936 10318654412 14305407253 15008951872 20637308824 28610814506 30017903744 41274617648 57221629012 82549235296 114443258024 157359479783 165098470592 228886516048 314718959566 330196941184 457773032096 629437919132 915546064192 1258875838264 1831092128384 2517751676528 5035503353056 10071006706112 20142013412224