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4324310331341 = 71113232774911381
BaseRepresentation
bin111110111011010100111…
…110110010111111001101
3120022101210121210111221112
4332323110332302333031
51031322141421100331
613110321041541405
7624264304225160
oct76732476627715
916271717714845
104324310331341
111417a254a16a0
1259a0b6944865
13254a1c2caa90
1410d424dbdad7
1577742a0a32b
hex3eed4fb2fcd

4324310331341 has 128 divisors (see below), whose sum is σ = 6097172078592. Its totient is φ = 2956238208000.

The previous prime is 4324310331311. The next prime is 4324310331347. The reversal of 4324310331341 is 1431330134234.

It is a happy number.

It is not a de Polignac number, because 4324310331341 - 26 = 4324310331277 is a prime.

It is a super-3 number, since 3×43243103313413 (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4324310331298 and 4324310331307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4324310331347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3131288471 + ... + 3131289851.

It is an arithmetic number, because the mean of its divisors is an integer number (47634156864).

Almost surely, 24324310331341 is an apocalyptic number.

It is an amenable number.

4324310331341 is a deficient number, since it is larger than the sum of its proper divisors (1772861747251).

4324310331341 is a wasteful number, since it uses less digits than its factorization.

4324310331341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2203.

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 4324310331341 its reverse (1431330134234), we get a palindrome (5755640465575).

The spelling of 4324310331341 in words is "four trillion, three hundred twenty-four billion, three hundred ten million, three hundred thirty-one thousand, three hundred forty-one".

Divisors: 1 7 11 13 23 77 91 143 161 253 277 299 491 1001 1381 1771 1939 2093 3047 3289 3437 3601 5401 6371 6383 9667 11293 15191 17953 21329 23023 25207 31763 37807 39611 44597 44681 70081 70213 79051 82823 106337 124223 125671 136007 146809 197483 222341 277277 349393 382537 412919 490567 491491 579761 678071 869561 911053 952049 1027663 1382381 1496077 1614899 1768091 2445751 2677759 2890433 3128161 4207907 4542109 4746497 4972981 6377371 7458781 8798351 8814923 10472539 11304293 12376637 15595633 19449001 21897127 29455349 31794763 34409771 34810867 40666093 52211467 54702791 61588457 61704461 96781861 96964153 109169431 114378563 136143007 171551963 187825667 202743229 240868397 284662651 382919537 447327023 677473027 678749071 800649941 1200863741 1258164193 1314779669 1419202603 2066082337 2230175519 2441733671 3131289161 4319990341 8807149351 14462576359 15611228633 17092135697 26859070381 30239932387 47519893751 56159874433 188013492667 332639256257 393119121031 617758618763 4324310331341