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13412003400225 = 335231887722611
BaseRepresentation
bin1100001100101011100110…
…1100101100101000100001
31202111011201120120210212000
43003022321230230220201
53224220240332301400
644305220031154213
72552661642620343
oct303127154545041
952434646523760
1013412003400225
114300aa92a6371
121607404975969
1376399207bb31
1434520444d293
15183d24c73600
hexc32b9b2ca21

13412003400225 has 96 divisors (see below), whose sum is σ = 25461840814080. Its totient is φ = 6914510568000.

The previous prime is 13412003400223. The next prime is 13412003400241. The reversal of 13412003400225 is 52200430021431.

13412003400225 is a `hidden beast` number, since 1 + 34 + 1 + 2 + 0 + 0 + 3 + 400 + 225 = 666.

It is not a de Polignac number, because 13412003400225 - 21 = 13412003400223 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (13412003400223) 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, 18199170 + ... + 18921780.

It is an arithmetic number, because the mean of its divisors is an integer number (265227508480).

Almost surely, 213412003400225 is an apocalyptic number.

13412003400225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13412003400225 is a deficient number, since it is larger than the sum of its proper divisors (12049837413855).

13412003400225 is a wasteful number, since it uses less digits than its factorization.

13412003400225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723548 (or 723537 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 13412003400225 its reverse (52200430021431), we get a palindrome (65612433421656).

The spelling of 13412003400225 in words is "thirteen trillion, four hundred twelve billion, three million, four hundred thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 31 45 75 93 135 155 225 279 465 675 775 837 887 1395 2325 2661 4185 4435 6975 7983 13305 20925 22175 23949 27497 39915 66525 82491 119745 137485 199575 247473 412455 598725 687425 722611 742419 1237365 2062275 2167833 3613055 3712095 6186825 6503499 10839165 18065275 18560475 19510497 22400941 32517495 54195825 67202823 97552485 112004705 162587475 201608469 336014115 487762425 560023525 604825407 640955957 1008042345 1680070575 1922867871 3024127035 3204779785 5040211725 5768603613 9614339355 15120635175 16023898925 17305810839 19869634667 28843018065 48071696775 59608904001 86529054195 99348173335 144215090325 178826712003 298044520005 432645270975 496740866675 536480136009 894133560015 1490222600025 2682400680045 4470667800075 13412003400225