Search a number
-
+
321145360140 = 2235113209151631
BaseRepresentation
bin1001010110001011100…
…00010100111100001100
31010200221011122121201210
410223011300110330030
520230201203011030
6403310535334420
732126165343543
oct4530560247414
91120834577653
10321145360140
11114219202350
12522a6b21410
132438c8a9727
14117875b315a
158548c70bb0
hex4ac5c14f0c

321145360140 has 96 divisors (see below), whose sum is σ = 981265259520. Its totient is φ = 77828646400.

The previous prime is 321145360127. The next prime is 321145360171. The reversal of 321145360140 is 41063541123.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 321145360098 and 321145360107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2042125 + ... + 2193755.

It is an arithmetic number, because the mean of its divisors is an integer number (10221513120).

Almost surely, 2321145360140 is an apocalyptic number.

321145360140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

321145360140 is an abundant number, since it is smaller than the sum of its proper divisors (660119899380).

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

321145360140 is a wasteful number, since it uses less digits than its factorization.

321145360140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154863 (or 154861 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 321145360140 in words is "three hundred twenty-one billion, one hundred forty-five million, three hundred sixty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 3209 6418 9627 12836 16045 19254 32090 35299 38508 48135 64180 70598 96270 105897 141196 151631 176495 192540 211794 303262 352990 423588 454893 529485 606524 705980 758155 909786 1058970 1516310 1667941 1819572 2117940 2274465 3032620 3335882 4548930 5003823 6671764 8339705 9097860 10007646 16679410 20015292 25019115 33358820 50038230 100076460 486583879 973167758 1459751637 1946335516 2432919395 2919503274 4865838790 5352422669 5839006548 7298758185 9731677580 10704845338 14597516370 16057268007 21409690676 26762113345 29195032740 32114536014 53524226690 64229072028 80286340035 107048453380 160572680070 321145360140