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20400424223410 = 25711199233571399
BaseRepresentation
bin1001010001101110110000…
…00010100000001010110010
32200020021001122021122202201
410220313120002200022302
510133220032100122120
6111215454150533414
74203611346533560
oct450673002401262
980207048248681
1020400424223410
1165558536aa7a0
1223558a496726a
13b4c9a079523a
145075588cca30
152559ddb2a40a
hex128dd80a02b2

20400424223410 has 128 divisors (see below), whose sum is σ = 46209346560000. Its totient is φ = 6299457246720.

The previous prime is 20400424223401. The next prime is 20400424223441. The reversal of 20400424223410 is 1432242400402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35416891 + ... + 35988289.

It is an arithmetic number, because the mean of its divisors is an integer number (361010520000).

Almost surely, 220400424223410 is an apocalyptic number.

20400424223410 is an abundant number, since it is smaller than the sum of its proper divisors (25808922336590).

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

20400424223410 is a wasteful number, since it uses less digits than its factorization.

20400424223410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571856.

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 20400424223410 its reverse (1432242400402), we get a palindrome (21832666623812).

The spelling of 20400424223410 in words is "twenty trillion, four hundred billion, four hundred twenty-four million, two hundred twenty-three thousand, four hundred ten".

Divisors: 1 2 5 7 10 11 14 22 35 55 70 77 110 154 199 233 385 398 466 770 995 1165 1393 1631 1990 2189 2330 2563 2786 3262 4378 5126 6965 8155 10945 12815 13930 15323 16310 17941 21890 25630 30646 35882 46367 76615 89705 92734 153230 179410 231835 324569 463670 510037 571399 649138 1020074 1142798 1622845 2550185 2856995 3245690 3570259 3999793 5100370 5713990 6285389 7140518 7999586 12570778 17851295 19998965 31426945 35702590 39997930 43997723 62853890 87995446 113708401 133135967 219988615 227416802 266271934 439977230 568542005 665679835 795958807 931951769 1137084010 1250792411 1331359670 1464495637 1591917614 1863903538 2501584822 2928991274 3979794035 4659758845 6253962055 7322478185 7959588070 8755546877 9319517690 10251469459 12507924110 14644956370 17511093754 20502938918 26494057433 43777734385 51257347295 52988114866 87555468770 102514694590 132470287165 185458402031 264940574330 291434631763 370916804062 582869263526 927292010155 1457173158815 1854584020310 2040042422341 2914346317630 4080084844682 10200212111705 20400424223410