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640312104240 = 243352511181039
BaseRepresentation
bin10010101000101011001…
…00110101010100110000
32021012202110012010112000
421110111210311110300
540442324344313430
61210053314334000
764155350040504
oct11242544652460
92235673163460
10640312104240
11227611543126
12a411b28a300
13484c5588123
1422dc4096304
15119c8e54e60
hex9515935530

640312104240 has 160 divisors (see below), whose sum is σ = 2214308275200. Its totient is φ = 170069472000.

The previous prime is 640312104217. The next prime is 640312104241. The reversal of 640312104240 is 42401213046.

It is a happy number.

640312104240 is a `hidden beast` number, since 6 + 4 + 0 + 312 + 104 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (640312104241) by changing a digit.

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, 48360 + ... + 1132679.

It is an arithmetic number, because the mean of its divisors is an integer number (13839426720).

Almost surely, 2640312104240 is an apocalyptic number.

640312104240 is a gapful number since it is divisible by the number (60) 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 640312104240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107154137600).

640312104240 is an abundant number, since it is smaller than the sum of its proper divisors (1573996170960).

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

640312104240 is a wasteful number, since it uses less digits than its factorization.

640312104240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181312 (or 1181300 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 640312104240 its reverse (42401213046), we get a palindrome (682713317286).

The spelling of 640312104240 in words is "six hundred forty billion, three hundred twelve million, one hundred four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 251 270 360 432 502 540 720 753 1004 1080 1255 1506 2008 2160 2259 2510 3012 3765 4016 4518 5020 6024 6777 7530 9036 10040 11295 12048 13554 15060 18072 20080 22590 27108 30120 33885 36144 45180 54216 60240 67770 90360 108432 135540 180720 271080 542160 1181039 2362078 3543117 4724156 5905195 7086234 9448312 10629351 11810390 14172468 17715585 18896624 21258702 23620780 28344936 31888053 35431170 42517404 47241560 53146755 56689872 63776106 70862340 85034808 94483120 106293510 127552212 141724680 159440265 170069616 212587020 255104424 283449360 296440789 318880530 425174040 510208848 592881578 637761060 850348080 889322367 1185763156 1275522120 1482203945 1778644734 2371526312 2551044240 2667967101 2964407890 3557289468 4446611835 4743052624 5335934202 5928815780 7114578936 8003901303 8893223670 10671868404 11857631560 13339835505 14229157872 16007802606 17786447340 21343736808 23715263120 26679671010 32015605212 35572894680 40019506515 42687473616 53359342020 64031210424 71145789360 80039013030 106718684040 128062420848 160078026060 213437368080 320156052120 640312104240