Search a number
-
+
441321003240 = 233513354779757
BaseRepresentation
bin1100110110000001100…
…10000001100011101000
31120012010102022211021020
412123000302001203220
524212311134100430
6534423504412440
743612226430135
oct6330062014350
91505112284236
10441321003240
11160188223757
1271645617120
13328022a0810
1417507d9b58c
15b72e36db10
hex66c0c818e8

441321003240 has 128 divisors (see below), whose sum is σ = 1426226175360. Its totient is φ = 108600873984.

The previous prime is 441321003229. The next prime is 441321003281. The reversal of 441321003240 is 42300123144.

It is a super-3 number, since 3×4413210032403 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 441321003240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5493442 + ... + 5573198.

It is an arithmetic number, because the mean of its divisors is an integer number (11142391995).

Almost surely, 2441321003240 is an apocalyptic number.

441321003240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441321003240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713113087680).

441321003240 is an abundant number, since it is smaller than the sum of its proper divisors (984905172120).

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

441321003240 is a wasteful number, since it uses less digits than its factorization.

441321003240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83331 (or 83327 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 441321003240 its reverse (42300123144), we get a palindrome (483621126384).

The spelling of 441321003240 in words is "four hundred forty-one billion, three hundred twenty-one million, three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 3547 7094 10641 14188 17735 21282 28376 35470 42564 46111 53205 70940 79757 85128 92222 106410 138333 141880 159514 184444 212820 230555 239271 276666 319028 368888 398785 425640 461110 478542 553332 638056 691665 797570 922220 957084 1036841 1106664 1196355 1383330 1595140 1844440 1914168 2073682 2392710 2766660 3110523 3190280 4147364 4785420 5184205 5533320 6221046 8294728 9570840 10368410 12442092 15552615 20736820 24884184 31105230 41473640 62210460 124420920 282898079 565796158 848694237 1131592316 1414490395 1697388474 2263184632 2828980790 3394776948 3677675027 4243471185 5657961580 6789553896 7355350054 8486942370 11033025081 11315923160 14710700108 16973884740 18388375135 22066050162 29421400216 33947769480 36776750270 44132100324 55165125405 73553500540 88264200648 110330250810 147107001080 220660501620 441321003240