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134343100044 = 223319281232987
BaseRepresentation
bin111110100011101111…
…0010000011010001100
3110211202121020120212000
41331013132100122030
54200113313200134
6141414422512300
712464101336416
oct1750736203214
9424677216760
10134343100044
1151a7a1a550a
1222053295690
13c88c90490a
1467062119b6
1537642ace99
hex1f4779068c

134343100044 has 96 divisors (see below), whose sum is σ = 367934649600. Its totient is φ = 42272979840.

The previous prime is 134343100043. The next prime is 134343100079. The reversal of 134343100044 is 440001343431.

134343100044 is a `hidden beast` number, since 1 + 343 + 4 + 310 + 0 + 0 + 4 + 4 = 666.

134343100044 is digitally balanced in base 3, 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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 134343099990 and 134343100017.

It is not an unprimeable number, because it can be changed into a prime (134343100043) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 460119 + ... + 693105.

It is an arithmetic number, because the mean of its divisors is an integer number (3832652600).

Almost surely, 2134343100044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134343100044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183967324800).

134343100044 is an abundant number, since it is smaller than the sum of its proper divisors (233591549556).

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

134343100044 is a wasteful number, since it uses less digits than its factorization.

134343100044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233300 (or 233292 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 134343100044 its reverse (440001343431), we get a palindrome (574344443475).

The spelling of 134343100044 in words is "one hundred thirty-four billion, three hundred forty-three million, one hundred thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 281 342 513 562 684 843 1026 1124 1686 2052 2529 3372 5058 5339 7587 10116 10678 15174 16017 21356 30348 32034 48051 64068 96102 144153 192204 232987 288306 465974 576612 698961 931948 1397922 2096883 2795844 4193766 4426753 6290649 8387532 8853506 12581298 13280259 17707012 25162596 26560518 39840777 53121036 65469347 79681554 119522331 130938694 159363108 196408041 239044662 261877388 392816082 478089324 589224123 785632164 1178448246 1243917593 1767672369 2356896492 2487835186 3535344738 3731752779 4975670372 7070689476 7463505558 11195258337 14927011116 22390516674 33585775011 44781033348 67171550022 134343100044