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12403535414440 = 2352693115146077
BaseRepresentation
bin1011010001111110110001…
…0100101000010010101000
31121220202200201011010122211
42310133230110220102220
53111204420031230230
642214034442254504
72420061112312162
oct264375424502250
947822621133584
1012403535414440
113a52345422415
121483a7aab7434
136bc857616b21
1430c49751b932
1516799edbe42a
hexb47ec5284a8

12403535414440 has 32 divisors (see below), whose sum is σ = 27918318071880. Its totient is φ = 4959571785472.

The previous prime is 12403535414411. The next prime is 12403535414443. The reversal of 12403535414440 is 4441453530421.

It can be written as a sum of positive squares in 4 ways, for example, as 6259373511876 + 6144161902564 = 2501874^2 + 2478742^2 .

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 = 12403535414393 and 12403535414402.

It is not an unprimeable number, because it can be changed into a prime (12403535414443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57465319 + ... + 57680758.

Almost surely, 212403535414440 is an apocalyptic number.

12403535414440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12403535414440 is an abundant number, since it is smaller than the sum of its proper divisors (15514782657440).

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

12403535414440 is a wasteful number, since it uses less digits than its factorization.

12403535414440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115148781 (or 115148777 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 40.

Adding to 12403535414440 its reverse (4441453530421), we get a palindrome (16844988944861).

The spelling of 12403535414440 in words is "twelve trillion, four hundred three billion, five hundred thirty-five million, four hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 2693 5386 10772 13465 21544 26930 53860 107720 115146077 230292154 460584308 575730385 921168616 1151460770 2302921540 4605843080 310088385361 620176770722 1240353541444 1550441926805 2480707082888 3100883853610 6201767707220 12403535414440