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4240242404240 = 245311744997987
BaseRepresentation
bin111101101101000010001…
…001000110101110010000
3120000100210210011100000212
4331231002021012232100
51023433004023413430
613003535050303252
7615230105515613
oct75550211065620
916010723140025
104240242404240
111395305326797
12585954727b28
13249b1248040b
1410932bc8c17a
1575472349b95
hex3db42246b90

4240242404240 has 80 divisors (see below), whose sum is σ = 10177268851200. Its totient is φ = 1641273338880.

The previous prime is 4240242404231. The next prime is 4240242404287. The reversal of 4240242404240 is 424042420424.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 4240242404197 and 4240242404206.

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 15 ways as a sum of consecutive naturals, for example, 43224527 + ... + 43322513.

It is an arithmetic number, because the mean of its divisors is an integer number (127215860640).

Almost surely, 24240242404240 is an apocalyptic number.

4240242404240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4240242404240 is an abundant number, since it is smaller than the sum of its proper divisors (5937026446960).

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

4240242404240 is a wasteful number, since it uses less digits than its factorization.

4240242404240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115480 (or 115474 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 4240242404240 its reverse (424042420424), we get a palindrome (4664284824664).

The spelling of 4240242404240 in words is "four trillion, two hundred forty billion, two hundred forty-two million, four hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 2480 17449 34898 69796 87245 97987 139592 174490 195974 279184 348980 391948 489935 540919 697960 783896 979870 1081838 1395920 1567792 1959740 2163676 2704595 3037597 3919480 4327352 5409190 6075194 7838960 8654704 10818380 12150388 15187985 21636760 24300776 30375970 43273520 48601552 60751940 121503880 243007760 1709775163 3419550326 6839100652 8548875815 13678201304 17097751630 27356402608 34195503260 53003030053 68391006520 106006060106 136782013040 212012120212 265015150265 424024240424 530030300530 848048480848 1060060601060 2120121202120 4240242404240