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20424214041 = 371161101113127
BaseRepresentation
bin10011000001011000…
…001100011000011001
31221201101202120111220
4103001120030120121
5313312044322131
613214401442253
71322062645350
oct230130143031
957641676456
1020424214041
118730a33340
123b60040389
131c0654676a
14dba790997
157e8113e96
hex4c160c619

20424214041 has 128 divisors (see below), whose sum is σ = 35435446272. Its totient is φ = 10160640000.

The previous prime is 20424214009. The next prime is 20424214049. The reversal of 20424214041 is 14041242402.

It is not a de Polignac number, because 20424214041 - 25 = 20424214009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20424214049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 160820520 + ... + 160820646.

It is an arithmetic number, because the mean of its divisors is an integer number (276839424).

Almost surely, 220424214041 is an apocalyptic number.

20424214041 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20424214041 is a deficient number, since it is larger than the sum of its proper divisors (15011232231).

20424214041 is a wasteful number, since it uses less digits than its factorization.

20424214041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423.

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 20424214041 its reverse (14041242402), we get a palindrome (34465456443).

The spelling of 20424214041 in words is "twenty billion, four hundred twenty-four million, two hundred fourteen thousand, forty-one".

Divisors: 1 3 7 11 21 33 61 77 101 113 127 183 231 303 339 381 427 671 707 791 889 1111 1243 1281 1397 2013 2121 2373 2667 3333 3729 4191 4697 6161 6893 7747 7777 8701 9779 11413 12827 14091 14351 18483 20679 23241 23331 26103 29337 34239 38481 43053 43127 48251 54229 67771 75823 79891 85217 89789 100457 125543 129381 141097 144753 157861 162687 203313 227469 239673 255651 269367 301371 376629 423291 473583 474397 530761 596519 696193 782447 875411 878801 987679 1105027 1423191 1449451 1592283 1789557 2088579 2347341 2626233 2636403 2963037 3315081 4348353 4873351 5477129 6127877 7658123 8606917 9629521 10146157 14620053 15943961 16431387 18383631 22974369 25820751 28888563 30438471 47831883 53606861 60248419 67406647 88416511 111607727 160820583 180745257 202219941 265249533 334823181 618915577 972581621 1856746731 2917744863 6808071347 20424214041