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14024120040 = 2332575565127
BaseRepresentation
bin11010000111110011…
…10001011011101000
31100012100212010001100
431003321301123220
5212210133320130
610235333321400
71004350024230
oct150371613350
940170763040
1014024120040
115a47282a57
122874796260
1314266056a8
14970794cc0
155712e9c60
hex343e716e8

14024120040 has 96 divisors (see below), whose sum is σ = 52089598080. Its totient is φ = 3205512576.

The previous prime is 14024119979. The next prime is 14024120081. The reversal of 14024120040 is 4002142041.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14024119995 and 14024120022.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2780044 + ... + 2785083.

It is an arithmetic number, because the mean of its divisors is an integer number (542599980).

Almost surely, 214024120040 is an apocalyptic number.

14024120040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14024120040 is an abundant number, since it is smaller than the sum of its proper divisors (38065478040).

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

14024120040 is a wasteful number, since it uses less digits than its factorization.

14024120040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5565151 (or 5565144 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 14024120040 its reverse (4002142041), we get a palindrome (18026262081).

The spelling of 14024120040 in words is "fourteen billion, twenty-four million, one hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 5565127 11130254 16695381 22260508 27825635 33390762 38955889 44521016 50086143 55651270 66781524 77911778 83476905 100172286 111302540 116867667 133563048 155823556 166953810 194779445 200344572 222605080 233735334 250430715 311647112 333907620 350603001 389558890 400689144 467470668 500861430 584338335 667815240 701206002 779117780 934941336 1001722860 1168676670 1402412004 1558235560 1753015005 2003445720 2337353340 2804824008 3506030010 4674706680 7012060020 14024120040