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41332400403226 = 21710724413465379
BaseRepresentation
bin10010110010111011100110…
…00010110011001100011010
312102100100011001100111002221
421121131303002303030122
520404142224000400401
6223523502001014254
711464111261440202
oct1131356302631432
9172310131314087
1041332400403226
1112195a77548809
1247765b532438a
131a0a82315431a
14a2c6dabd5402
154ba23d3717a1
hex2597730b331a

41332400403226 has 32 divisors (see below), whose sum is σ = 66261943650240. Its totient is φ = 19267929920256.

The previous prime is 41332400403223. The next prime is 41332400403257. The reversal of 41332400403226 is 62230400423314.

41332400403226 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 41332400403191 and 41332400403200.

It is not an unprimeable number, because it can be changed into a prime (41332400403223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88581805 + ... + 89047183.

It is an arithmetic number, because the mean of its divisors is an integer number (2070685739070).

Almost surely, 241332400403226 is an apocalyptic number.

41332400403226 is a deficient number, since it is larger than the sum of its proper divisors (24929543247014).

41332400403226 is a wasteful number, since it uses less digits than its factorization.

41332400403226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489918.

The product of its (nonzero) digits is 82944, while the sum is 34.

The spelling of 41332400403226 in words is "forty-one trillion, three hundred thirty-two billion, four hundred million, four hundred three thousand, two hundred twenty-six".

Divisors: 1 2 17 34 107 214 1819 3638 24413 48826 415021 465379 830042 930758 2612191 5224382 7911443 15822886 44407247 49795553 88814494 99591106 846524401 1693048802 11361297527 22722595054 193142057959 386284115918 1215658835389 2431317670778 20666200201613 41332400403226