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22425141424203 = 3374119783917509
BaseRepresentation
bin1010001100101010000101…
…00101101011000001001011
32221101211012122220101222000
411012111002211223001023
510414403142201033303
6115405545011202043
74503106624013550
oct506250245530113
987354178811860
1022425141424203
1171664a3791351
1226221865a6323
13c688b2aa82bb
1457754dd4ca27
1528d4e1a67da3
hex14654296b04b

22425141424203 has 128 divisors (see below), whose sum is σ = 39140817408000. Its totient is φ = 12422825210880.

The previous prime is 22425141424157. The next prime is 22425141424241. The reversal of 22425141424203 is 30242414152422.

22425141424203 is a `hidden beast` number, since 2 + 2 + 4 + 25 + 1 + 4 + 1 + 424 + 203 = 666.

It is not a de Polignac number, because 22425141424203 - 224 = 22425124646987 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22425141424253) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 1280769213 + ... + 1280786721.

It is an arithmetic number, because the mean of its divisors is an integer number (305787636000).

Almost surely, 222425141424203 is an apocalyptic number.

22425141424203 is a deficient number, since it is larger than the sum of its proper divisors (16715675983797).

22425141424203 is a wasteful number, since it uses less digits than its factorization.

22425141424203 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18602 (or 18596 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 22425141424203 its reverse (30242414152422), we get a palindrome (52667555576625).

The spelling of 22425141424203 in words is "twenty-two trillion, four hundred twenty-five billion, one hundred forty-one million, four hundred twenty-four thousand, two hundred three".

Divisors: 1 3 7 9 21 27 41 63 123 189 197 287 369 591 839 861 1107 1379 1773 2517 2583 4137 5319 5873 7551 7749 8077 12411 17509 17619 22653 24231 34399 37233 52527 52857 56539 72693 103197 122563 157581 158571 165283 169617 218079 240793 309591 367689 472743 495849 508851 717869 722379 928773 1103067 1156981 1487547 1526553 2153607 2167137 3309201 3449273 3470943 4462641 5025083 6460821 6501411 6776603 10347819 10412829 14690051 15075249 19382463 20329809 24144911 31043457 31238487 44070153 45225747 47436221 60989427 72434733 93130371 102830357 132210459 135677241 141420193 142308663 182968281 217304199 308491071 396631377 424260579 426925989 602292091 651912597 925473213 989941351 1272781737 1280777967 1806876273 2776419639 2893940047 2969824053 3818345211 4216044637 5420628819 8681820141 8909472159 12648133911 16261886457 20257580329 26045460423 26728416477 37944401733 60772740987 78136381269 113833205199 118651541927 182318222961 355954625781 546954668883 830560793489 1067863877343 2491682380467 3203591632029 7475047141401 22425141424203