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20424224440440 = 23325232466693773
BaseRepresentation
bin1001010010011011000101…
…01001001000000001111000
32200022112111022120221202100
410221031202221020001320
510134112302424043230
6111234431552103400
74205413215202452
oct451154251100170
980275438527670
1020424224440440
116564957269047
12235a427534b60
13b51cc4581cb2
145087757a12d2
15256433306660
hex129362a48078

20424224440440 has 96 divisors (see below), whose sum is σ = 69264761173920. Its totient is φ = 5209657246464.

The previous prime is 20424224440381. The next prime is 20424224440441. The reversal of 20424224440440 is 4404442242402.

20424224440440 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 4 + 2 + 244 + 404 + 4 + 0 = 666.

20424224440440 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×204242244404402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20424224440395 and 20424224440404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20424224440441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1233338607 + ... + 1233355166.

It is an arithmetic number, because the mean of its divisors is an integer number (721507928895).

Almost surely, 220424224440440 is an apocalyptic number.

20424224440440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20424224440440 is an abundant number, since it is smaller than the sum of its proper divisors (48840536733480).

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

20424224440440 is a wasteful number, since it uses less digits than its factorization.

20424224440440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2466693813 (or 2466693806 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

Adding to 20424224440440 its reverse (4404442242402), we get a palindrome (24828666682842).

The spelling of 20424224440440 in words is "twenty trillion, four hundred twenty-four billion, two hundred twenty-four million, four hundred forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 138 180 184 207 230 276 345 360 414 460 552 690 828 920 1035 1380 1656 2070 2760 4140 8280 2466693773 4933387546 7400081319 9866775092 12333468865 14800162638 19733550184 22200243957 24666937730 29600325276 37000406595 44400487914 49333875460 56733956779 59200650552 74000813190 88800975828 98667750920 111001219785 113467913558 148001626380 170201870337 177601951656 222002439570 226935827116 283669783895 296003252760 340403740674 444004879140 453871654232 510605611011 567339567790 680807481348 851009351685 888009758280 1021211222022 1134679135580 1361614962696 1702018703370 2042422444044 2269358271160 2553028055055 3404037406740 4084844888088 5106056110110 6808074813480 10212112220220 20424224440440