Search a number
-
+
23340414132 = 22327472817013
BaseRepresentation
bin10101101111001100…
…100111010010110100
32020020122002212222200
4111233030213102310
5340300121223012
614420014024500
71454253150420
oct255714472264
966218085880
1023340414132
119998067662
1246347a8130
13227c76a149
1411b5bc1b80
159191533dc
hex56f3274b4

23340414132 has 144 divisors (see below), whose sum is σ = 69117414912. Its totient is φ = 6502648320.

The previous prime is 23340414121. The next prime is 23340414151. The reversal of 23340414132 is 23141404332.

23340414132 is a `hidden beast` number, since 233 + 4 + 0 + 414 + 13 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 23340414096 and 23340414105.

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 47 ways as a sum of consecutive naturals, for example, 3324658 + ... + 3331670.

It is an arithmetic number, because the mean of its divisors is an integer number (479982048).

Almost surely, 223340414132 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 23340414132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34558707456).

23340414132 is an abundant number, since it is smaller than the sum of its proper divisors (45777000780).

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

23340414132 is a wasteful number, since it uses less digits than its factorization.

23340414132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7358 (or 7353 counting only the distinct ones).

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

Adding to 23340414132 its reverse (23141404332), we get a palindrome (46481818464).

The spelling of 23340414132 in words is "twenty-three billion, three hundred forty million, four hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 47 63 84 94 126 141 188 252 281 282 329 423 562 564 658 843 846 987 1124 1316 1686 1692 1967 1974 2529 2961 3372 3934 3948 5058 5901 5922 7013 7868 10116 11802 11844 13207 14026 17703 21039 23604 26414 28052 35406 39621 42078 49091 52828 63117 70812 79242 84156 92449 98182 118863 126234 147273 158484 184898 196364 237726 252468 277347 294546 329611 369796 441819 475452 554694 589092 659222 832041 883638 988833 1109388 1318444 1664082 1767276 1970653 1977666 2307277 2966499 3328164 3941306 3955332 4614554 5911959 5932998 6921831 7882612 9229108 11823918 11865996 13794571 13843662 17735877 20765493 23647836 27589142 27687324 35471754 41383713 41530986 55178284 70943508 82767426 83061972 92620691 124151139 165534852 185241382 248302278 277862073 370482764 496604556 555724146 648344837 833586219 1111448292 1296689674 1667172438 1945034511 2593379348 3334344876 3890069022 5835103533 7780138044 11670207066 23340414132