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12424041114440 = 2351917471935689
BaseRepresentation
bin1011010011001011001010…
…0011101010101101001000
31121222201121210020121220012
42310302302203222231020
53112023414011130230
642231305314451052
72421415215013124
oct264626243525510
947881553217805
1012424041114440
113a6000835131a
121487a42293a88
136c17749c1117
1430d480a40584
151682a022c395
hexb4cb28eab48

12424041114440 has 64 divisors (see below), whose sum is σ = 29427076224000. Its totient is φ = 4707783175680.

The previous prime is 12424041114341. The next prime is 12424041114493. The reversal of 12424041114440 is 4441114042421.

It is a super-2 number, since 2×124240411144402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12424041114397 and 12424041114406.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12810116 + ... + 13745804.

It is an arithmetic number, because the mean of its divisors is an integer number (459798066000).

Almost surely, 212424041114440 is an apocalyptic number.

12424041114440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12424041114440 is an abundant number, since it is smaller than the sum of its proper divisors (17003035109560).

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

12424041114440 is a wasteful number, since it uses less digits than its factorization.

12424041114440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953190 (or 953186 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

Adding to 12424041114440 its reverse (4441114042421), we get a palindrome (16865155156861).

The spelling of 12424041114440 in words is "twelve trillion, four hundred twenty-four billion, forty-one million, one hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 17471 34942 69884 87355 139768 174710 331949 349420 663898 698840 935689 1327796 1659745 1871378 2655592 3319490 3742756 4678445 6638980 7485512 9356890 13277960 17778091 18713780 35556182 37427560 71112364 88890455 142224728 177780910 355561820 711123640 16347422519 32694845038 65389690076 81737112595 130779380152 163474225190 310601027861 326948450380 621202055722 653896900760 1242404111444 1553005139305 2484808222888 3106010278610 6212020557220 12424041114440