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340013230324040 = 235713918710167653
BaseRepresentation
bin100110101001111010111111…
…1110011111111100101001000
31122120212221120122001200211002
41031103311333303333211020
5324031234043430332130
63203051531024154132
7131422100546454110
oct11523657763774510
91576787518050732
10340013230324040
119937a88a433899
1232174a12a68948
13117951579b4b90
145dd6a2a0b4040
1529497ced26b45
hex1353d7fcff948

340013230324040 has 128 divisors (see below), whose sum is σ = 941677681916160. Its totient is φ = 107596859065344.

The previous prime is 340013230323973. The next prime is 340013230324051. The reversal of 340013230324040 is 40423032310043.

It is a junction number, because it is equal to n+sod(n) for n = 340013230323994 and 340013230324012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28356854 + ... + 38524506.

It is an arithmetic number, because the mean of its divisors is an integer number (7356856889970).

Almost surely, 2340013230324040 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 340013230324040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470838840958080).

340013230324040 is an abundant number, since it is smaller than the sum of its proper divisors (601664451592120).

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

340013230324040 is a wasteful number, since it uses less digits than its factorization.

340013230324040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10176871 (or 10176867 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 29.

Adding to 340013230324040 its reverse (40423032310043), we get a palindrome (380436262634083).

The spelling of 340013230324040 in words is "three hundred forty trillion, thirteen billion, two hundred thirty million, three hundred twenty-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1820 3640 9187 18374 36748 45935 64309 73496 91870 119431 128618 183740 238862 257236 321545 367480 477724 514472 597155 643090 836017 955448 1194310 1286180 1672034 2388620 2572360 3344068 4180085 4777240 6688136 8360170 10167653 16720340 20335306 33440680 40670612 50838265 71173571 81341224 101676530 132179489 142347142 203353060 264358978 284694284 355867855 406706120 528717956 569388568 660897445 711735710 925256423 1057435912 1321794890 1423471420 1850512846 2643589780 2846942840 3701025692 4626282115 5287179560 7402051384 9252564230 18505128460 37010256920 93410228111 186820456222 373640912444 467051140555 653871596777 747281824888 934102281110 1214332965443 1307743193554 1868204562220 2428665930886 2615486387108 3269357983885 3736409124440 4857331861772 5230972774216 6071664827215 6538715967770 8500330758101 9714663723544 12143329654430 13077431935540 17000661516202 24286659308860 26154863871080 34001323032404 42501653790505 48573318617720 68002646064808 85003307581010 170006615162020 340013230324040