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4145435420436 = 2232115150983901
BaseRepresentation
bin111100010100101111001…
…101001010011100010100
3112200022002112002112210100
4330110233031022130110
51020404322431423221
612452215311454100
7605332516454202
oct74245715123424
915608075075710
104145435420436
111359084250612
1256b4b5b27330
13240bb37acb2b
141048d67b4072
1572c73e91926
hex3c52f34a714

4145435420436 has 18 divisors (see below), whose sum is σ = 10478739535082. Its totient is φ = 1381811806800.

The previous prime is 4145435420417. The next prime is 4145435420461. The reversal of 4145435420436 is 6340245345414.

4145435420436 is a `hidden beast` number, since 4 + 1 + 4 + 5 + 435 + 4 + 204 + 3 + 6 = 666.

4145435420436 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 4058186076036 + 87249344400 = 2014494^2 + 295380^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a junction number, because it is equal to n+sod(n) for n = 4145435420391 and 4145435420400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 57575491915 + ... + 57575491986.

Almost surely, 24145435420436 is an apocalyptic number.

It is an amenable number.

4145435420436 is an abundant number, since it is smaller than the sum of its proper divisors (6333304114646).

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

4145435420436 is a wasteful number, since it uses less digits than its factorization.

4145435420436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115150983911 (or 115150983906 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 45.

The spelling of 4145435420436 in words is "four trillion, one hundred forty-five billion, four hundred thirty-five million, four hundred twenty thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 115150983901 230301967802 345452951703 460603935604 690905903406 1036358855109 1381811806812 2072717710218 4145435420436