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12440050040 = 2351149956659
BaseRepresentation
bin10111001010111110…
…00001100101111000
31012002222011000112002
423211133001211320
5200434123100130
65414225240132
7620163452315
oct134537014570
935088130462
1012440050040
1153040a17a0
1224b2193048
131233389672
14860249d0c
154cc1e5b45
hex2e57c1978

12440050040 has 64 divisors (see below), whose sum is σ = 30596400000. Its totient is φ = 4514509440.

The previous prime is 12440050031. The next prime is 12440050069. The reversal of 12440050040 is 4005004421.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12440049994 and 12440050021.

It is a congruent number.

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, 191231 + ... + 247889.

It is an arithmetic number, because the mean of its divisors is an integer number (478068750).

Almost surely, 212440050040 is an apocalyptic number.

12440050040 is a gapful number since it is divisible by the number (10) 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 12440050040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15298200000).

12440050040 is an abundant number, since it is smaller than the sum of its proper divisors (18156349960).

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

12440050040 is a wasteful number, since it uses less digits than its factorization.

12440050040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57180 (or 57176 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 12440050040 its reverse (4005004421), we get a palindrome (16445054461).

The spelling of 12440050040 in words is "twelve billion, four hundred forty million, fifty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 499 998 1996 2495 3992 4990 5489 9980 10978 19960 21956 27445 43912 54890 56659 109780 113318 219560 226636 283295 453272 566590 623249 1133180 1246498 2266360 2492996 3116245 4985992 6232490 12464980 24929960 28272841 56545682 113091364 141364205 226182728 282728410 311001251 565456820 622002502 1130913640 1244005004 1555006255 2488010008 3110012510 6220025020 12440050040