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41404042302021 = 33719307119331481
BaseRepresentation
bin10010110101000001000010…
…01110111101001001000101
312102121012001220020000201000
421122200201032331021011
520411330434312131041
6224020430543323513
711502225523513620
oct1132404116751105
9172535056200630
1041404042302021
11122133a0529733
124788469bb0599
131a144cc7b4609
14a31d758cadb7
154bc032baabb6
hex25a8213bd245

41404042302021 has 128 divisors (see below), whose sum is σ = 74096438169600. Its totient is φ = 22321771914240.

The previous prime is 41404042302019. The next prime is 41404042302041. The reversal of 41404042302021 is 12020324040414.

41404042302021 is a `hidden beast` number, since 4 + 1 + 4 + 0 + 404 + 230 + 2 + 0 + 21 = 666.

It is not a de Polignac number, because 41404042302021 - 21 = 41404042302019 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41404042302041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1315191601 + ... + 1315223081.

It is an arithmetic number, because the mean of its divisors is an integer number (578878423200).

Almost surely, 241404042302021 is an apocalyptic number.

It is an amenable number.

41404042302021 is a deficient number, since it is larger than the sum of its proper divisors (32692395867579).

41404042302021 is a wasteful number, since it uses less digits than its factorization.

41404042302021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33016 (or 33010 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 41404042302021 its reverse (12020324040414), we get a palindrome (53424366342435).

The spelling of 41404042302021 in words is "forty-one trillion, four hundred four billion, forty-two million, three hundred two thousand, twenty-one".

Divisors: 1 3 7 9 19 21 27 57 63 133 171 189 307 399 513 921 1193 1197 2149 2763 3579 3591 5833 6447 8289 8351 10737 17499 19341 22667 25053 31481 32211 40831 52497 58023 68001 75159 94443 122493 157491 158669 204003 220367 225477 283329 366251 367479 476007 598139 612009 661101 849987 1098753 1102437 1428021 1794417 1983303 2563757 3296259 4186973 4284063 5383251 5949909 6958769 7691271 9664667 9888777 12560919 16149753 20876307 23073813 28994001 37556833 37682757 48711383 62628921 67652669 69221439 86982003 112670499 113048271 146134149 183628673 187886763 202958007 260946009 262897831 338011497 438402447 550886019 608874021 713579827 788693493 1014034491 1285400711 1315207341 1652658057 1826622063 2140739481 2366080479 3856202133 4957974171 4995058789 6422218443 7098241437 11529947731 11568606399 14985176367 19266655329 34589843193 34705819197 44955529101 80709634117 103769529579 134866587303 219069006889 242128902351 311308588737 657207020667 726386707053 1533483048223 1971621062001 2179160121159 4600449144669 5914863186003 13801347434007 41404042302021