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1434210124341 = 3293710110940471
BaseRepresentation
bin10100110111101101100…
…101011100001000110101
312002002221120101011201010
4110313231211130020311
5141444230242434331
63014511140222433
7205422030624621
oct24675545341065
95062846334633
101434210124341
11503277253025
121b1b6209aa19
13a53262b0cb7
144d5b7c64181
15274916b7e46
hex14ded95c235

1434210124341 has 64 divisors (see below), whose sum is σ = 2070677030400. Its totient is φ = 881145216000.

The previous prime is 1434210124331. The next prime is 1434210124349.

It is a happy number.

1434210124341 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1434210124341 - 213 = 1434210116149 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1434210124299 and 1434210124308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1434210124349) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35417736 + ... + 35458206.

It is an arithmetic number, because the mean of its divisors is an integer number (32354328600).

Almost surely, 21434210124341 is an apocalyptic number.

It is an amenable number.

1434210124341 is a deficient number, since it is larger than the sum of its proper divisors (636466906059).

1434210124341 is a wasteful number, since it uses less digits than its factorization.

1434210124341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40750.

The product of its (nonzero) digits is 9216, while the sum is 30.

It can be divided in two parts, 1434210 and 124341, that added together give a palindrome (1558551).

The spelling of 1434210124341 in words is "one trillion, four hundred thirty-four billion, two hundred ten million, one hundred twenty-four thousand, three hundred forty-one".

Divisors: 1 3 29 37 87 101 109 111 303 327 1073 2929 3161 3219 3737 4033 8787 9483 11009 11211 12099 33027 40471 108373 116957 121413 319261 325119 350871 407333 957783 1173659 1221999 1497427 3520977 4087571 4411339 4492281 11812657 12262713 13234017 35437971 43425383 118539559 127928831 130276149 151240127 163219543 355618677 383786493 445545239 453720381 489658629 1336635717 4385963683 4733366747 12920811931 13157891049 14200100241 16485173843 38762435793 49455521529 478070041447 1434210124341