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414113212433403 = 327192811231171679
BaseRepresentation
bin101111000101000100011111…
…0111011001000001111111011
32000022020211120210100120110100
41132022020332323020033323
5413234312324340332103
64024424552233250443
7153140456310156420
oct13612107673101773
92008224523316410
10414113212433403
1110aa4947756712a
123a541ab8b63a23
1314a0b9293a1762
14743928779dd47
1532d207d17b5a3
hex178a23eec83fb

414113212433403 has 48 divisors (see below), whose sum is σ = 722156060620800. Its totient is φ = 223383789256320.

The previous prime is 414113212433381. The next prime is 414113212433423. The reversal of 414113212433403 is 304334212311414.

414113212433403 is a `hidden beast` number, since 4 + 1 + 4 + 1 + 1 + 3 + 2 + 1 + 243 + 3 + 403 = 666.

It is not a de Polignac number, because 414113212433403 - 26 = 414113212433339 is a prime.

It is a super-2 number, since 2×4141132124334032 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (414113212433423) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 615249483 + ... + 615922196.

It is an arithmetic number, because the mean of its divisors is an integer number (15044917929600).

Almost surely, 2414113212433403 is an apocalyptic number.

414113212433403 is a deficient number, since it is larger than the sum of its proper divisors (308042848187397).

414113212433403 is a wasteful number, since it uses less digits than its factorization.

414113212433403 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1231171992 (or 1231171989 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 414113212433403 its reverse (304334212311414), we get a palindrome (718447424744817).

The spelling of 414113212433403 in words is "four hundred fourteen trillion, one hundred thirteen billion, two hundred twelve million, four hundred thirty-three thousand, four hundred three".

Divisors: 1 3 7 9 19 21 57 63 133 171 281 399 843 1197 1967 2529 5339 5901 16017 17703 37373 48051 112119 336357 1231171679 3693515037 8618201753 11080545111 23392261901 25854605259 70176785703 77563815777 163745833307 210530357109 345959241799 491237499921 1037877725397 1473712499763 2421714692593 3113633176191 6573225594181 7265144077779 19719676782543 21795432233337 46012579159267 59159030347629 138037737477801 414113212433403