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41323214712220 = 225710914391881823
BaseRepresentation
bin10010110010101010011111…
…00010001010110110011100
312102022110102212212000220221
421121111033202022312130
520404014420431242340
6223515342303451124
711463334532366020
oct1131251742126634
9172273385760827
1041323214712220
1112192093458141
124774870bb6aa4
131a099bb0899bc
14a2c0a8c84380
154b9da1c1544a
hex25954f88ad9c

41323214712220 has 96 divisors (see below), whose sum is σ = 100155189657600. Its totient is φ = 14028215226624.

The previous prime is 41323214712203. The next prime is 41323214712223. The reversal of 41323214712220 is 2221741232314.

41323214712220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41323214712223) 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 31 ways as a sum of consecutive naturals, for example, 21018229 + ... + 22900051.

It is an arithmetic number, because the mean of its divisors is an integer number (1043283225600).

Almost surely, 241323214712220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41323214712220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50077594828800).

41323214712220 is an abundant number, since it is smaller than the sum of its proper divisors (58831974945380).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41323214712220 is a wasteful number, since it uses less digits than its factorization.

41323214712220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1883387 (or 1883385 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

Adding to 41323214712220 its reverse (2221741232314), we get a palindrome (43544955944534).

The spelling of 41323214712220 in words is "forty-one trillion, three hundred twenty-three billion, two hundred fourteen million, seven hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 109 140 218 436 545 763 1090 1439 1526 2180 2878 3052 3815 5756 7195 7630 10073 14390 15260 20146 28780 40292 50365 100730 156851 201460 313702 627404 784255 1097957 1568510 1881823 2195914 3137020 3763646 4391828 5489785 7527292 9409115 10979570 13172761 18818230 21959140 26345522 37636460 52691044 65863805 131727610 205118707 263455220 410237414 820474828 1025593535 1435830949 2051187070 2707943297 2871661898 4102374140 5415886594 5743323796 7179154745 10831773188 13539716485 14358309490 18955603079 27079432970 28716618980 37911206158 54158865940 75822412316 94778015395 189556030790 295165819373 379112061580 590331638746 1180663277492 1475829096865 2066160735611 2951658193730 4132321471222 5903316387460 8264642942444 10330803678055 20661607356110 41323214712220