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414113503045 = 511223287910337
BaseRepresentation
bin1100000011010110001…
…01101001011101000101
31110120220021121121110211
412001223011221131011
523241101024044140
6514124025315421
741630055461134
oct6015305513505
91416807547424
10414113503045
1114a696305100
1268311935b71
133008760ab88
141608678391b
15ab8a99c2ea
hex606b169745

414113503045 has 48 divisors (see below), whose sum is σ = 570220922880. Its totient is φ = 287951037440.

The previous prime is 414113503039. The next prime is 414113503079. The reversal of 414113503045 is 540305311414.

It is not a de Polignac number, because 414113503045 - 29 = 414113502533 is a prime.

It is a super-3 number, since 3×4141135030453 (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 414113502998 and 414113503016.

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, 40056117 + ... + 40066453.

It is an arithmetic number, because the mean of its divisors is an integer number (11879602560).

Almost surely, 2414113503045 is an apocalyptic number.

It is an amenable number.

414113503045 is a deficient number, since it is larger than the sum of its proper divisors (156107419835).

414113503045 is a wasteful number, since it uses less digits than its factorization.

414113503045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13266 (or 13255 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

Adding to 414113503045 its reverse (540305311414), we get a palindrome (954418814459).

The spelling of 414113503045 in words is "four hundred fourteen billion, one hundred thirteen million, five hundred three thousand, forty-five".

Divisors: 1 5 11 23 55 115 121 253 605 1265 2783 2879 10337 13915 14395 31669 51685 66217 113707 158345 237751 331085 348359 568535 728387 1188755 1250777 1741795 2615261 3641935 6253885 8012257 13076305 28767871 29760223 40061285 143839355 148801115 327362453 684485129 1636812265 3422425645 3600986983 7529336419 18004934915 37646682095 82822700609 414113503045