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3421204442313 = 3723314719125453
BaseRepresentation
bin110001110010001111101…
…011001110110011001001
3110010001201121201220221020
4301302033223032303021
5422023111314123223
611135402444303053
7502113430641450
oct61621753166311
913101647656836
103421204442313
1110a9a19798469
12473076541a89
131ba806234318
14bb831309b97
155ded79c01e3
hex31c8facecc9

3421204442313 has 128 divisors (see below), whose sum is σ = 5765137956864. Its totient is φ = 1761807801600.

The previous prime is 3421204442273. The next prime is 3421204442321. The reversal of 3421204442313 is 3132444021243.

It is not a de Polignac number, because 3421204442313 - 229 = 3420667571401 is a prime.

It is a super-2 number, since 2×34212044423132 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3421204442323) 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 127 ways as a sum of consecutive naturals, for example, 134399895 + ... + 134425347.

It is an arithmetic number, because the mean of its divisors is an integer number (45040140288).

Almost surely, 23421204442313 is an apocalyptic number.

It is an amenable number.

3421204442313 is a deficient number, since it is larger than the sum of its proper divisors (2343933514551).

3421204442313 is a wasteful number, since it uses less digits than its factorization.

3421204442313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25755.

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 3421204442313 its reverse (3132444021243), we get a palindrome (6553648463556).

The spelling of 3421204442313 in words is "three trillion, four hundred twenty-one billion, two hundred four million, four hundred forty-two thousand, three hundred thirteen".

Divisors: 1 3 7 21 23 31 47 69 93 141 161 191 217 329 483 573 651 713 987 1081 1337 1457 2139 3243 4011 4371 4393 4991 5921 7567 8977 10199 13179 14973 17763 22701 25453 26931 30597 30751 33511 41447 62839 76359 92253 100533 124341 136183 178171 188517 206471 234577 278287 408549 534513 585419 619413 703731 789043 834861 953281 1196291 1445297 1756257 1948009 2367129 2859843 3588873 4097933 4335891 4861523 5523301 5844027 6400601 8374037 12293799 14584569 16569903 18147989 19201803 25122111 27514693 34030661 37085021 44804207 54443967 82544079 102091983 111255063 111815029 127035923 134412621 150707213 192602851 228491581 259595147 335445087 381107769 452121639 577808553 685474743 778785441 782705203 852955483 1054950491 1599441067 2348115609 2558866449 3164851473 3466265899 4798323201 5255306363 5970688381 7083239011 10398797697 15765919089 17912065143 21249717033 24263861293 36787144541 49582673077 72791583879 110361433623 148748019231 162914497253 488743491759 1140401480771 3421204442313