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41132221313421 = 3728310775141953
BaseRepresentation
bin10010101101000110101110…
…11100001011000110001101
312101122012110020002002120210
421112203113130023012031
520342402242124012141
6223251514232233033
711443463534315400
oct1126432734130615
9171565406062523
1041132221313421
1112119093686807
12474384983b779
1319c49a09bc664
14a22b4b015d37
154b4e24323916
hex2568d770b18d

41132221313421 has 96 divisors (see below), whose sum is σ = 65257300297728. Its totient is φ = 22972747392000.

The previous prime is 41132221313413. The next prime is 41132221313461. The reversal of 41132221313421 is 12431312223114.

41132221313421 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 41132221313421 - 23 = 41132221313413 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41132221313461) 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 95 ways as a sum of consecutive naturals, for example, 980414781 + ... + 980456733.

It is an arithmetic number, because the mean of its divisors is an integer number (679763544768).

Almost surely, 241132221313421 is an apocalyptic number.

It is an amenable number.

41132221313421 is a deficient number, since it is larger than the sum of its proper divisors (24125078984307).

41132221313421 is a wasteful number, since it uses less digits than its factorization.

41132221313421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42911 (or 42904 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

Adding to 41132221313421 its reverse (12431312223114), we get a palindrome (53563533536535).

The spelling of 41132221313421 in words is "forty-one trillion, one hundred thirty-two billion, two hundred twenty-one million, three hundred thirteen thousand, four hundred twenty-one".

Divisors: 1 3 7 21 49 83 107 147 249 321 581 749 751 1743 2247 2253 4067 5243 5257 8881 12201 15729 15771 26643 36799 41953 62167 62333 80357 110397 125859 186501 186999 241071 293671 435169 436331 562499 881013 1305507 1308993 1687497 2055697 3054317 3482099 3937493 4488971 6167091 6669631 9162951 10446297 11812479 13466913 20008893 24374693 31422797 31506703 46687417 73124079 94268391 94520109 140062251 170622851 219959579 220546921 326811919 372584593 511868553 659878737 661640763 980435757 1117753779 1543828447 2608092151 2615056349 3371217221 4631485341 7824276453 7845169047 10113651663 18256645057 18305394443 23598520547 54769935171 54916183329 70795561641 128137761101 165189643829 279811029343 384413283303 495568931487 839433088029 1958677205401 5876031616203 13710740437807 41132221313421