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20403040033044 = 22374395312777
BaseRepresentation
bin1001010001110011100111…
…11101000001100100010100
32200020111210221101120000000
410220321303331001210110
510133240411222024134
6111221005512451300
74204033231541664
oct450716375014424
980214727346000
1020403040033044
116556976213239
1223562b49a9b30
13b4ccc96b21a6
145077260881a4
15255ae35cee99
hex128e73f41914

20403040033044 has 96 divisors (see below), whose sum is σ = 53671808467200. Its totient is φ = 6785520009408.

The previous prime is 20403040033039. The next prime is 20403040033099. The reversal of 20403040033044 is 44033004030402.

20403040033044 is a `hidden beast` number, since 20 + 4 + 0 + 304 + 0 + 0 + 330 + 4 + 4 = 666.

It is a super-2 number, since 2×204030400330442 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20403040032999 and 20403040033017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1183984 + ... + 6496760.

It is an arithmetic number, because the mean of its divisors is an integer number (559081338200).

Almost surely, 220403040033044 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 20403040033044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26835904233600).

20403040033044 is an abundant number, since it is smaller than the sum of its proper divisors (33268768434156).

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

20403040033044 is an equidigital number, since it uses as much as digits as its factorization.

20403040033044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5313241 (or 5313221 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 20403040033044 its reverse (44033004030402), we get a palindrome (64436044063446).

The spelling of 20403040033044 in words is "twenty trillion, four hundred three billion, forty million, thirty-three thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 439 486 729 878 972 1317 1458 1756 2187 2634 2916 3951 4374 5268 7902 8748 11853 15804 23706 35559 47412 71118 106677 142236 213354 320031 426708 640062 960093 1280124 1920186 3840372 5312777 10625554 15938331 21251108 31876662 47814993 63753324 95629986 143444979 191259972 286889958 430334937 573779916 860669874 1291004811 1721339748 2332309103 2582009622 3873014433 4664618206 5164019244 6996927309 7746028866 9329236412 11619043299 13993854618 15492057732 20990781927 23238086598 27987709236 41981563854 46476173196 62972345781 83963127708 125944691562 188917037343 251889383124 377834074686 566751112029 755668149372 1133502224058 1700253336087 2267004448116 3400506672174 5100760008261 6801013344348 10201520016522 20403040033044