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20040312432033 = 352923373316651
BaseRepresentation
bin1001000111001111111111…
…01101000010010110100001
32121221211112211102020100000
410203213333231002112201
510111320024440311113
6110342220433250213
74135602424031145
oct443477755022641
977854484366300
1020040312432033
116427059a10973
1222b7b44103969
13b24a40cc790a
144d3d56117225
1524b463ed5373
hex1239ffb425a1

20040312432033 has 96 divisors (see below), whose sum is σ = 31232083559040. Its totient is φ = 12825855705600.

The previous prime is 20040312432001. The next prime is 20040312432097. The reversal of 20040312432033 is 33023421304002.

20040312432033 is a `hidden beast` number, since 2 + 0 + 0 + 403 + 12 + 43 + 203 + 3 = 666.

It is not a de Polignac number, because 20040312432033 - 25 = 20040312432001 is a prime.

It is a super-2 number, since 2×200403124320332 (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 = 20040312431988 and 20040312432006.

It is not an unprimeable number, because it can be changed into a prime (20040312432533) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1203541758 + ... + 1203558408.

It is an arithmetic number, because the mean of its divisors is an integer number (325334203740).

Almost surely, 220040312432033 is an apocalyptic number.

It is an amenable number.

20040312432033 is a deficient number, since it is larger than the sum of its proper divisors (11191771127007).

20040312432033 is a wasteful number, since it uses less digits than its factorization.

20040312432033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17661 (or 17649 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 20040312432033 its reverse (33023421304002), we get a palindrome (53063733736035).

The spelling of 20040312432033 in words is "twenty trillion, forty billion, three hundred twelve million, four hundred thirty-two thousand, thirty-three".

Divisors: 1 3 9 27 29 81 87 233 243 261 699 733 783 2097 2199 2349 6291 6597 6757 7047 16651 18873 19791 20271 21257 49953 56619 59373 60813 63771 149859 170789 178119 182439 191313 449577 482879 512367 547317 573939 1348731 1448637 1537101 1641951 1721817 3879683 4046193 4345911 4611303 4952881 5165451 11639049 12205183 13037733 13833909 14858643 34917147 36615549 39113199 41501727 44575929 104751441 109846647 112510807 117339597 133727787 314254323 329539941 337532421 353950307 401183361 942762969 988619823 1012597263 1061850921 1203550083 2843807639 2965859469 3037791789 3185552763 8531422917 9113375367 9556658289 25594268751 27340126101 28669974867 76782806253 82470421531 86009924601 230348418759 247411264593 691045256277 742233793779 2226701381337 6680104144011 20040312432033