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4340444204040 = 233573105452969
BaseRepresentation
bin111111001010010110101…
…000101000110000001000
3120100221110000112011120020
4333022112220220300020
51032103212204012130
613121550022500440
7625405152666000
oct77122650506010
916327400464506
104340444204040
111423854663a8a
125a1259b94720
132563c0a27409
14110115a3d000
1577d89146e10
hex3f296a28c08

4340444204040 has 128 divisors (see below), whose sum is σ = 15185227680000. Its totient is φ = 992101522944.

The previous prime is 4340444204017. The next prime is 4340444204071. The reversal of 4340444204040 is 404024440434.

It is a junction number, because it is equal to n+sod(n) for n = 4340444203992 and 4340444204010.

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, 52685325 + ... + 52767644.

It is an arithmetic number, because the mean of its divisors is an integer number (118634591250).

Almost surely, 24340444204040 is an apocalyptic number.

4340444204040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4340444204040 is an abundant number, since it is smaller than the sum of its proper divisors (10844783475960).

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

4340444204040 is a wasteful number, since it uses less digits than its factorization.

4340444204040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105453004 (or 105452986 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 33.

Adding to 4340444204040 its reverse (404024440434), we get a palindrome (4744468644474).

The spelling of 4340444204040 in words is "four trillion, three hundred forty billion, four hundred forty-four million, two hundred four thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 343 392 420 490 588 686 735 840 980 1029 1176 1372 1470 1715 1960 2058 2744 2940 3430 4116 5145 5880 6860 8232 10290 13720 20580 41160 105452969 210905938 316358907 421811876 527264845 632717814 738170783 843623752 1054529690 1265435628 1476341566 1581794535 2109059380 2214512349 2530871256 2952683132 3163589070 3690853915 4218118760 4429024698 5167195481 5905366264 6327178140 7381707830 8858049396 10334390962 11072561745 12654356280 14763415660 15501586443 17716098792 20668781924 22145123490 25835977405 29526831320 31003172886 36170368367 41337563848 44290246980 51671954810 62006345772 72340736734 77507932215 88580493960 103343909620 108511105101 124012691544 144681473468 155015864430 180851841835 206687819240 217022210202 289362946936 310031728860 361703683670 434044420404 542555525505 620063457720 723407367340 868088840808 1085111051010 1446814734680 2170222102020 4340444204040