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324426456414 = 2354718317757
BaseRepresentation
bin1001011100010010101…
…00101101110101011110
31011000101211121120200000
410232021110231311132
520303411133101124
6405012304515130
732303406244104
oct4561124556536
91130354546600
10324426456414
11115652305565
1252a6191baa6
13247935a0608
14119b926bc74
15868bd3c6c9
hex4b8952dd5e

324426456414 has 96 divisors (see below), whose sum is σ = 744970576896. Its totient is φ = 105769812960.

The previous prime is 324426456413. The next prime is 324426456449. The reversal of 324426456414 is 414654624423.

324426456414 is a `hidden beast` number, since 3 + 24 + 4 + 2 + 64 + 564 + 1 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 324426456414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (324426456413) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41819824 + ... + 41827580.

It is an arithmetic number, because the mean of its divisors is an integer number (7760110176).

Almost surely, 2324426456414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 324426456414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372485288448).

324426456414 is an abundant number, since it is smaller than the sum of its proper divisors (420544120482).

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

324426456414 is a wasteful number, since it uses less digits than its factorization.

324426456414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9652 (or 9640 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 45.

The spelling of 324426456414 in words is "three hundred twenty-four billion, four hundred twenty-six million, four hundred fifty-six thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 27 47 54 81 94 141 162 243 282 423 486 846 1269 1831 2538 3662 3807 5493 7614 7757 10986 11421 15514 16479 22842 23271 32958 46542 49437 69813 86057 98874 139626 148311 172114 209439 258171 296622 364579 418878 444933 516342 628317 729158 774513 889866 1093737 1256634 1549026 1884951 2187474 2323539 3281211 3769902 4647078 6562422 6970617 9843633 13941234 14203067 19687266 20911851 28406134 29530899 41823702 42609201 59061798 85218402 88592697 127827603 177185394 255655206 383482809 667544149 766965618 1150448427 1335088298 2002632447 2300896854 3451345281 4005264894 6007897341 6902690562 12015794682 18023692023 36047384046 54071076069 108142152138 162213228207 324426456414