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4342433414440 = 23511311324924029
BaseRepresentation
bin111111001100001101001…
…100110111110100101000
3120101010120122120112020111
4333030031030313310220
51032121300423230230
613122515242304104
7625505356002142
oct77141514676450
916333518515214
104342433414440
111424685501220
125a17141b8034
13256649b946a4
14110263cc9c92
1577e53ac792a
hex3f30d337d28

4342433414440 has 128 divisors (see below), whose sum is σ = 11003817600000. Its totient is φ = 1527950131200.

The previous prime is 4342433414401. The next prime is 4342433414477. The reversal of 4342433414440 is 444143342434.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4342433414393 and 4342433414402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180704346 + ... + 180728374.

It is an arithmetic number, because the mean of its divisors is an integer number (85967325000).

Almost surely, 24342433414440 is an apocalyptic number.

4342433414440 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 4342433414440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5501908800000).

4342433414440 is an abundant number, since it is smaller than the sum of its proper divisors (6661384185560).

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

4342433414440 is a wasteful number, since it uses less digits than its factorization.

4342433414440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37331 (or 37327 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 40.

Adding to 4342433414440 its reverse (444143342434), we get a palindrome (4786576756874).

The spelling of 4342433414440 in words is "four trillion, three hundred forty-two billion, four hundred thirty-three million, four hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 124 155 220 248 310 341 440 620 682 1240 1364 1705 2728 3410 6820 13249 13640 24029 26498 48058 52996 66245 96116 105992 120145 132490 145739 192232 240290 264319 264980 291478 410719 480580 528638 529960 582956 728695 744899 821438 961160 1057276 1165912 1321595 1457390 1489798 1642876 2053595 2114552 2643190 2914780 2979596 3285752 3724495 4107190 4517909 5286380 5829560 5959192 7448990 8193889 8214380 9035818 10572760 14897980 16387778 16428760 18071636 22589545 29795960 32775556 36143272 40969445 45179090 65551112 81938890 90358180 163877780 180716360 318360221 327755560 636720442 1273440884 1591801105 2546881768 3183602210 3501962431 6367204420 7003924862 9869166851 12734408840 14007849724 17509812155 19738333702 28015699448 35019624310 39476667404 49345834255 70039248620 78953334808 98691668510 108560835361 140078497240 197383337020 217121670722 394766674040 434243341444 542804176805 868486682888 1085608353610 2171216707220 4342433414440