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20441030034411 = 32710724851122021
BaseRepresentation
bin1001010010111010011000…
…10101011000001111101011
32200101010212112021120201200
410221131030111120033223
510134401212142100121
6111250251330215243
74206546531325320
oct451351425301753
980333775246650
1020441030034411
116570aa0615588
122361737724523
13b537721c933c
145094cb716b47
15256ab88cba26
hex12974c5583eb

20441030034411 has 48 divisors (see below), whose sum is σ = 34060936036608. Its totient is φ = 11570863752000.

The previous prime is 20441030034301. The next prime is 20441030034431. The reversal of 20441030034411 is 11443003014402.

20441030034411 is a `hidden beast` number, since 2 + 0 + 4 + 4 + 1 + 0 + 300 + 344 + 11 = 666.

It is not a de Polignac number, because 20441030034411 - 235 = 20406670296043 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20441030034431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 167459581 + ... + 167581601.

It is an arithmetic number, because the mean of its divisors is an integer number (709602834096).

Almost surely, 220441030034411 is an apocalyptic number.

20441030034411 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20441030034411 is a deficient number, since it is larger than the sum of its proper divisors (13619906002197).

20441030034411 is a wasteful number, since it uses less digits than its factorization.

20441030034411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146992 (or 146989 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 20441030034411 its reverse (11443003014402), we get a palindrome (31884033048813).

The spelling of 20441030034411 in words is "twenty trillion, four hundred forty-one billion, thirty million, thirty-four thousand, four hundred eleven".

Divisors: 1 3 7 9 21 63 107 321 749 963 2247 6741 24851 74553 122021 173957 223659 366063 521871 854147 1098189 1565613 2562441 2659057 7687323 7977171 13056247 18613399 23931513 39168741 55840197 91393729 117506223 167520591 274181187 822543561 3032343871 9097031613 21226407097 27291094839 63679221291 191037663873 324460794197 973382382591 2271225559379 2920147147773 6813676678137 20441030034411