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343141112440 = 235717371948337
BaseRepresentation
bin1001111111001001100…
…11011101101001111000
31012210201002112121110101
410333210303131221320
521110223111044230
6421345320525144
733535233221350
oct4774463355170
91183632477411
10343141112440
11122586237635
12566053207b4
13264868a2189
1412872969b60
158dd4d10aca
hex4fe4cdda78

343141112440 has 128 divisors (see below), whose sum is σ = 959517498240. Its totient is φ = 107735187456.

The previous prime is 343141112411. The next prime is 343141112441. The reversal of 343141112440 is 44211141343.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 343141112399 and 343141112408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343141112441) 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, 798049 + ... + 1150288.

It is an arithmetic number, because the mean of its divisors is an integer number (7496230455).

Almost surely, 2343141112440 is an apocalyptic number.

It is an amenable number.

343141112440 is an abundant number, since it is smaller than the sum of its proper divisors (616376385800).

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

343141112440 is a wasteful number, since it uses less digits than its factorization.

343141112440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1948409 (or 1948405 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 343141112440 its reverse (44211141343), we get a palindrome (387352253783).

The spelling of 343141112440 in words is "three hundred forty-three billion, one hundred forty-one million, one hundred twelve thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 37 40 56 68 70 74 85 119 136 140 148 170 185 238 259 280 296 340 370 476 518 595 629 680 740 952 1036 1190 1258 1295 1480 2072 2380 2516 2590 3145 4403 4760 5032 5180 6290 8806 10360 12580 17612 22015 25160 35224 44030 88060 176120 1948337 3896674 7793348 9741685 13638359 15586696 19483370 27276718 33121729 38966740 54553436 66243458 68191795 72088469 77933480 109106872 132486916 136383590 144176938 165608645 231852103 264973832 272767180 288353876 331217290 360442345 463704206 504619283 545534360 576707752 662434580 720884690 927408412 1009238566 1159260515 1225503973 1324869160 1441769380 1854816824 2018477132 2318521030 2451007946 2523096415 2883538760 4036954264 4637042060 4902015892 5046192830 6127519865 8578527811 9274084120 9804031784 10092385660 12255039730 17157055622 20184771320 24510079460 34314111244 42892639055 49020158920 68628222488 85785278110 171570556220 343141112440