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404152105425120 = 253251322117870697
BaseRepresentation
bin101101111100100101111111…
…0101011011101100011100000
31221222222120020010011000020200
41123321023332223131203200
5410433112002442100440
63551320525240105200
7151062011634500403
oct13371137653354340
91858876203130220
10404152105425120
11107858a4431a478
12393b3476465200
13144684c2b62c00
1471b30cdbd7d3a
1531acdcc952c30
hex16f92feadd8e0

404152105425120 has 432 divisors, whose sum is σ = 1500497760473712. Its totient is φ = 99012096368640.

The previous prime is 404152105425109. The next prime is 404152105425127. The reversal of 404152105425120 is 21524501251404.

404152105425120 is a `hidden beast` number, since 4 + 0 + 4 + 1 + 5 + 2 + 105 + 425 + 120 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404152105425127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 47413612 + ... + 55284308.

It is an arithmetic number, because the mean of its divisors is an integer number (3473374445541).

Almost surely, 2404152105425120 is an apocalyptic number.

404152105425120 is a gapful number since it is divisible by the number (40) 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 404152105425120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750248880236856).

404152105425120 is an abundant number, since it is smaller than the sum of its proper divisors (1096345655048592).

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

404152105425120 is a wasteful number, since it uses less digits than its factorization.

404152105425120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7870955 (or 7870931 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

Adding to 404152105425120 its reverse (21524501251404), we get a palindrome (425676606676524).

The spelling of 404152105425120 in words is "four hundred four trillion, one hundred fifty-two billion, one hundred five million, four hundred twenty-five thousand, one hundred twenty".