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1413020464128 = 210347131959167
BaseRepresentation
bin10100100011111110100…
…101010011010000000000
312000002020211021220110000
4110203332211103100000
5141122331214323003
63001044352240000
7204041651525610
oct24437645232000
95002224256400
101413020464128
114a529323a749
121a9a29840000
13a332a2c2310
144c567980a40
1526b512a51a3
hex148fe953400

1413020464128 has 1760 divisors, whose sum is σ = 5592574310400. Its totient is φ = 344988647424.

The previous prime is 1413020464117. The next prime is 1413020464169. The reversal of 1413020464128 is 8214640203141.

1413020464128 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 0 + 2 + 0 + 4 + 641 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1413020464092 and 1413020464101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8461200301 + ... + 8461200467.

It is an arithmetic number, because the mean of its divisors is an integer number (3177599040).

Almost surely, 21413020464128 is an apocalyptic number.

1413020464128 is a gapful number since it is divisible by the number (18) 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 1413020464128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2796287155200).

1413020464128 is an abundant number, since it is smaller than the sum of its proper divisors (4179553846272).

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

1413020464128 is a wasteful number, since it uses less digits than its factorization.

1413020464128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Adding to 1413020464128 its reverse (8214640203141), we get a palindrome (9627660667269).

The spelling of 1413020464128 in words is "one trillion, four hundred thirteen billion, twenty million, four hundred sixty-four thousand, one hundred twenty-eight".