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31413114232423 = 72111314016531699
BaseRepresentation
bin1110010010001111011111…
…00000111101111001100111
311010020001201221102120211221
413021013233200331321213
513104133024220414143
6150450552505241211
76421344153234100
oct711075740757147
9133201657376757
1031413114232423
11a011255056260
1236340a4493207
13146b322ca2761
147a858d5793a7
153971d94022ed
hex1c91ef83de67

31413114232423 has 96 divisors (see below), whose sum is σ = 40353643756800. Its totient is φ = 24178976640000.

The previous prime is 31413114232417. The next prime is 31413114232441. The reversal of 31413114232423 is 32423241131413.

It is a happy number.

It is not a de Polignac number, because 31413114232423 - 213 = 31413114224231 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31413114232723) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18489177628 + ... + 18489179326.

It is an arithmetic number, because the mean of its divisors is an integer number (420350455800).

Almost surely, 231413114232423 is an apocalyptic number.

31413114232423 is a deficient number, since it is larger than the sum of its proper divisors (8940529524377).

31413114232423 is a wasteful number, since it uses less digits than its factorization.

31413114232423 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2909 (or 2902 counting only the distinct ones).

The product of its digits is 41472, while the sum is 34.

Adding to 31413114232423 its reverse (32423241131413), we get a palindrome (63836355363836).

The spelling of 31413114232423 in words is "thirty-one trillion, four hundred thirteen billion, one hundred fourteen million, two hundred thirty-two thousand, four hundred twenty-three".

Divisors: 1 7 11 49 77 131 401 539 653 917 1441 1699 2807 4411 4571 6419 7183 10087 11893 18689 19649 30877 31997 50281 52531 70609 83251 85543 130823 216139 222569 261853 351967 367717 577841 598801 681299 915761 940973 1109447 1557983 1832971 2448259 2574019 2880383 4044887 4191607 4769093 6586811 7494289 7766129 10905881 12203917 12830797 17137813 20162681 28314209 33383651 34302743 46107677 52460023 54362903 85427419 89250169 119964691 141138767 145337557 240119201 367220161 377330173 444888247 597991933 624751183 981751859 1017362899 1598713127 1680834407 2641311211 3114217729 4373258281 4893770717 6872263013 7121540293 11190991889 18489178477 21799524103 34256395019 48105841091 58280360357 78336943223 239794765133 407962522499 641083963927 2855737657493 4487587747489 31413114232423