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4312241683680 = 253572183343609
BaseRepresentation
bin111110110000000101101…
…000100011110011100000
3120021020122112111200201010
4332300011220203303200
51031122432332334210
613101003320540520
7623356240346400
oct76600550436340
916236575450633
104312241683680
1114128a2013017
125978a9021740
13253847b7c148
1410c9dc212800
1577288229920
hex3ec05a23ce0

4312241683680 has 144 divisors (see below), whose sum is σ = 15801285684240. Its totient is φ = 985655236608.

The previous prime is 4312241683627. The next prime is 4312241683693. The reversal of 4312241683680 is 863861422134.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91648285 + ... + 91695324.

It is an arithmetic number, because the mean of its divisors is an integer number (109731150585).

Almost surely, 24312241683680 is an apocalyptic number.

4312241683680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4312241683680 is an abundant number, since it is smaller than the sum of its proper divisors (11489044000560).

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

4312241683680 is a wasteful number, since it uses less digits than its factorization.

4312241683680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183343641 (or 183343626 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 4312241683680 in words is "four trillion, three hundred twelve billion, two hundred forty-one million, six hundred eighty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 49 56 60 70 80 84 96 98 105 112 120 140 147 160 168 196 210 224 240 245 280 294 336 392 420 480 490 560 588 672 735 784 840 980 1120 1176 1470 1568 1680 1960 2352 2940 3360 3920 4704 5880 7840 11760 23520 183343609 366687218 550030827 733374436 916718045 1100061654 1283405263 1466748872 1833436090 2200123308 2566810526 2750154135 2933497744 3666872180 3850215789 4400246616 5133621052 5500308270 5866995488 6417026315 7333744360 7700431578 8800493232 8983836841 10267242104 11000616540 12834052630 14667488720 15400863156 17600986464 17967673682 19251078945 20534484208 22001233080 25668105260 26951510523 29334977440 30801726312 35935347364 38502157890 41068968416 44002466160 44919184205 51336210520 53903021046 61603452624 71870694728 77004315780 88004932320 89838368410 102672421040 107806042092 123206905248 134757552615 143741389456 154008631560 179676736820 205344842080 215612084184 269515105230 287482778912 308017263120 359353473640 431224168368 539030210460 616034526240 718706947280 862448336736 1078060420920 1437413894560 2156120841840 4312241683680