Search a number
-
+
406434505243626 = 23347391940862383
BaseRepresentation
bin101110001101001100110100…
…0010011110011101111101010
31222022001202111111002000211000
41130122121220103303233222
5411233010331320244001
64000225233433215430
7151415631633033456
oct13432315023635752
91868052444060730
10406434505243626
111085589a6536712
1239701891561576
13145a27bcaa23b2
14725176c117666
1531ec462db0a86
hex171a6684f3bea

406434505243626 has 64 divisors (see below), whose sum is σ = 922639940812800. Its totient is φ = 132561816895728.

The previous prime is 406434505243553. The next prime is 406434505243693. The reversal of 406434505243626 is 626342505434604.

406434505243626 is a `hidden beast` number, since 4 + 0 + 6 + 4 + 3 + 4 + 5 + 0 + 5 + 2 + 4 + 3 + 626 = 666.

It is a super-2 number, since 2×4064345052436262 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10484770 + ... + 30377613.

It is an arithmetic number, because the mean of its divisors is an integer number (14416249075200).

Almost surely, 2406434505243626 is an apocalyptic number.

406434505243626 is an abundant number, since it is smaller than the sum of its proper divisors (516205435569174).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

406434505243626 is a wasteful number, since it uses less digits than its factorization.

406434505243626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40866360 (or 40866354 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 54.

It can be divided in two parts, 40643450 and 5243626, that added together give a square (45887076 = 67742).

The spelling of 406434505243626 in words is "four hundred six trillion, four hundred thirty-four billion, five hundred five million, two hundred forty-three thousand, six hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 47 54 94 141 282 423 846 1269 2538 3919 7838 11757 23514 35271 70542 105813 184193 211626 368386 552579 1105158 1657737 3315474 4973211 9946422 40862383 81724766 122587149 245174298 367761447 735522894 1103284341 1920532001 2206568682 3841064002 5761596003 11523192006 17284788009 34569576018 51854364027 103708728054 160139678977 320279357954 480419036931 960838073862 1441257110793 2882514221586 4323771332379 7526564911919 8647542664758 15053129823838 22579694735757 45159389471514 67739084207271 135478168414542 203217252621813 406434505243626