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1313234243440 = 245719123424271
BaseRepresentation
bin10011000111000010110…
…111000100111101110000
311122112200112220200021121
4103013002313010331300
5133004000431242230
62443142543232024
7163610111614450
oct23070267047560
94575615820247
101313234243440
11466a37549169
1219261b5a8614
1396ab6b82a12
14477bd08bd60
1524260be777a
hex131c2dc4f70

1313234243440 has 80 divisors (see below), whose sum is σ = 3673106334720. Its totient is φ = 426554277120.

The previous prime is 1313234243423. The next prime is 1313234243443. The reversal of 1313234243440 is 443424323131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1313234243396 and 1313234243405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313234243443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61701496 + ... + 61722775.

It is an arithmetic number, because the mean of its divisors is an integer number (45913829184).

Almost surely, 21313234243440 is an apocalyptic number.

1313234243440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313234243440 is an abundant number, since it is smaller than the sum of its proper divisors (2359872091280).

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

1313234243440 is a wasteful number, since it uses less digits than its factorization.

1313234243440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123424310 (or 123424304 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

Adding to 1313234243440 its reverse (443424323131), we get a palindrome (1756658566571).

The spelling of 1313234243440 in words is "one trillion, three hundred thirteen billion, two hundred thirty-four million, two hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 190 266 280 304 380 532 560 665 760 1064 1330 1520 2128 2660 5320 10640 123424271 246848542 493697084 617121355 863969897 987394168 1234242710 1727939794 1974788336 2345061149 2468485420 3455879588 4319849485 4690122298 4936970840 6911759176 8639698970 9380244596 9873941680 11725305745 13823518352 16415428043 17279397940 18760489192 23450611490 32830856086 34558795880 37520978384 46901222980 65661712172 69117591760 82077140215 93802445960 131323424344 164154280430 187604891920 262646848688 328308560860 656617121720 1313234243440