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20413223031404 = 227223106311513701
BaseRepresentation
bin1001010010000110100101…
…11010000101001001101100
32200021111002121111110200102
410221003102322011021230
510133422240044001104
6111225412153450232
74204543460600600
oct451032272051154
980244077443612
1020413223031404
116560221258665
122358277110978
13b50c602831c8
14508010645500
15255edc589a1e
hex1290d2e8526c

20413223031404 has 144 divisors (see below), whose sum is σ = 43452489056256. Its totient is φ = 8350760880000.

The previous prime is 20413223031401. The next prime is 20413223031451. The reversal of 20413223031404 is 40413032231402.

It is a super-2 number, since 2×204132230314042 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20413223031401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5515594754 + ... + 5515598454.

It is an arithmetic number, because the mean of its divisors is an integer number (301753396224).

Almost surely, 220413223031404 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 20413223031404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21726244528128).

20413223031404 is an abundant number, since it is smaller than the sum of its proper divisors (23039266024852).

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

20413223031404 is a wasteful number, since it uses less digits than its factorization.

20413223031404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5956 (or 5947 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 20413223031404 its reverse (40413032231402), we get a palindrome (60826255262806).

The spelling of 20413223031404 in words is "twenty trillion, four hundred thirteen billion, two hundred twenty-three million, thirty-one thousand, four hundred four".

Divisors: 1 2 4 7 14 23 28 46 49 92 98 161 196 322 644 1063 1127 1151 2126 2254 2302 3701 4252 4508 4604 7402 7441 8057 14804 14882 16114 24449 25907 26473 29764 32228 48898 51814 52087 52946 56399 85123 97796 103628 104174 105892 112798 170246 171143 181349 185311 208348 225596 340492 342286 362698 370622 595861 684572 725396 741244 1191722 1198001 1223513 1297177 2383444 2396002 2447026 2594354 3934163 4171027 4259851 4792004 4894052 5188708 7868326 8342054 8519702 8564591 15736652 16684108 17039404 17129182 27539141 28140799 29818957 34258364 55078282 56281598 59637914 59952137 90485749 97976573 110156564 112563196 119275828 119904274 180971498 192773987 195953146 196985593 208732699 239808548 361942996 385547974 391906292 393971186 417465398 633400243 685836011 771095948 787942372 834930796 1266800486 1371672022 1378899151 2533600972 2743344044 2757798302 4433801701 4528221613 4800852077 5515596604 8867603402 9056443226 9601704154 17735206804 18112886452 19203408308 31697551291 63395102582 104149097099 126790205164 208298194198 221882859037 416596388396 443765718074 729043679693 887531436148 1458087359386 2916174718772 5103305757851 10206611515702 20413223031404