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41021404333 = 741353137181
BaseRepresentation
bin100110001101000100…
…001111010010101101
310220212212000020211121
4212031010033102231
51133002434414313
630502303020541
72651356120000
oct461504172255
9126785006747
1041021404333
1116440571258
127b49b9a751
133b39875120
141db20cb537
1511014e528d
hex98d10f4ad

41021404333 has 80 divisors (see below), whose sum is σ = 53184536496. Its totient is φ = 31437020160.

The previous prime is 41021404313. The next prime is 41021404343. The reversal of 41021404333 is 33340412014.

It can be written as a sum of positive squares in 8 ways, for example, as 5561878084 + 35459526249 = 74578^2 + 188307^2 .

It is not a de Polignac number, because 41021404333 - 225 = 40987849901 is a prime.

It is a super-2 number, since 2×410214043332 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41021404298 and 41021404307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41021404313) 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 79 ways as a sum of consecutive naturals, for example, 226637503 + ... + 226637683.

Almost surely, 241021404333 is an apocalyptic number.

It is an amenable number.

41021404333 is a deficient number, since it is larger than the sum of its proper divisors (12163132163).

41021404333 is a wasteful number, since it uses less digits than its factorization.

41021404333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 41021404333 its reverse (33340412014), we get a palindrome (74361816347).

The spelling of 41021404333 in words is "forty-one billion, twenty-one million, four hundred four thousand, three hundred thirty-three".

Divisors: 1 7 13 49 53 91 137 181 343 371 637 689 959 1267 1781 2353 2401 2597 4459 4823 6713 7261 8869 9593 12467 16471 18179 24797 31213 33761 46991 50827 62083 67151 87269 94393 115297 124709 127253 173579 236327 322361 328937 355789 434581 470057 610883 660751 807079 872963 1215053 1314241 1654289 2256527 2490523 3290399 4276181 4625257 5649553 6110741 8505371 9199687 15795689 17085133 17433661 23032793 32376799 42775187 59537597 64397809 110569823 119595931 226637593 299426309 450784663 773988761 837171517 3155492641 5860200619 41021404333