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13406225404212 = 223219291877360071
BaseRepresentation
bin1100001100010110000101…
…0011011001000100110100
31202110121210220021012101200
43003011201103121010310
53224121422200413322
644302422424452500
72552365522513044
oct303054123310464
952417726235350
1013406225404212
1142a9603817453
12160627191a130
13763280ca2994
14344c16d0d724
15183ad788e8ac
hexc31614d9134

13406225404212 has 144 divisors (see below), whose sum is σ = 36921350793600. Its totient is φ = 4085371503360.

The previous prime is 13406225404181. The next prime is 13406225404267. The reversal of 13406225404212 is 21240452260431.

13406225404212 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 6 + 225 + 4 + 0 + 421 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37052137 + ... + 37412207.

It is an arithmetic number, because the mean of its divisors is an integer number (256398269400).

Almost surely, 213406225404212 is an apocalyptic number.

13406225404212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13406225404212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18460675396800).

13406225404212 is an abundant number, since it is smaller than the sum of its proper divisors (23515125389388).

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

13406225404212 is a wasteful number, since it uses less digits than its factorization.

13406225404212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362006 (or 362001 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 13406225404212 its reverse (21240452260431), we get a palindrome (34646677664643).

The spelling of 13406225404212 in words is "thirteen trillion, four hundred six billion, two hundred twenty-five million, four hundred four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 29 36 38 57 58 76 87 114 116 171 174 228 261 342 348 522 551 684 1044 1102 1653 1877 2204 3306 3754 4959 5631 6612 7508 9918 11262 16893 19836 22524 33786 35663 54433 67572 71326 106989 108866 142652 163299 213978 217732 320967 326598 360071 427956 489897 641934 653196 720142 979794 1034227 1080213 1283868 1440284 1959588 2068454 2160426 3102681 3240639 4136908 4320852 6205362 6481278 6841349 9308043 10442059 12410724 12962556 13682698 18616086 20524047 20884118 27365396 31326177 37232172 41048094 41768236 61572141 62652354 82096188 93978531 123144282 125304708 187957062 198399121 246288564 375914124 396798242 595197363 675853267 793596484 1190394726 1351706534 1785592089 2027559801 2380789452 2703413068 3571184178 4055119602 6082679403 7142368356 8110239204 12165358806 12841212073 19599744743 24330717612 25682424146 38523636219 39199489486 51364848292 58799234229 77047272438 78398978972 115570908657 117598468458 154094544876 176397702687 231141817314 235196936916 352795405374 372395150117 462283634628 705590810748 744790300234 1117185450351 1489580600468 2234370900702 3351556351053 4468741801404 6703112702106 13406225404212