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414124421414 = 211432833154523
BaseRepresentation
bin1100000011010111011…
…11010011000100100110
31110120221001011022122212
412001223233103010212
523241111322441124
6514125055323422
741630250334124
oct6015357230446
91416831138585
10414124421414
1114a6a1492250
1268315520572
1330089961752
1416087dc6914
15ab8b90740e
hex606bbd3126

414124421414 has 32 divisors (see below), whose sum is σ = 693666889344. Its totient is φ = 183794647680.

The previous prime is 414124421407. The next prime is 414124421483.

414124421414 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4141244214142 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2602757 + ... + 2757279.

It is an arithmetic number, because the mean of its divisors is an integer number (21677090292).

Almost surely, 2414124421414 is an apocalyptic number.

414124421414 is a deficient number, since it is larger than the sum of its proper divisors (279542467930).

414124421414 is a wasteful number, since it uses less digits than its factorization.

414124421414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157412.

The product of its digits is 16384, while the sum is 32.

It can be divided in two parts, 414124 and 421414, that added together give a palindrome (835538).

The spelling of 414124421414 in words is "four hundred fourteen billion, one hundred twenty-four million, four hundred twenty-one thousand, four hundred fourteen".

Divisors: 1 2 11 22 43 86 473 946 2833 5666 31163 62326 121819 154523 243638 309046 1340009 1699753 2680018 3399506 6644489 13288978 73089379 146178758 437763659 875527318 4815400249 9630800498 18823837337 37647674674 207062210707 414124421414