Base | Representation |
---|---|
bin | 1010000100011101… |
… | …01101110111100000 |
3 | 111221202120102110000 |
4 | 11002032231313200 |
5 | 42032431341230 |
6 | 2252235540000 |
7 | 250653162666 |
oct | 50216556740 |
9 | 14852512400 |
10 | 5406121440 |
11 | 2324684065 |
12 | 106a5ba600 |
13 | 682034535 |
14 | 393dbac36 |
15 | 219928b60 |
hex | 1423adde0 |
5406121440 has 240 divisors, whose sum is σ = 19222766640. Its totient is φ = 1430784000.
The previous prime is 5406121429. The next prime is 5406121453. The reversal of 5406121440 is 441216045.
5406121440 is a `hidden beast` number, since 5 + 4 + 0 + 612 + 1 + 4 + 40 = 666.
It is a tau number, because it is divible by the number of its divisors (240).
It is a super-2 number, since 2×54061214402 = 58452298048055347200, which contains 22 as substring.
It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1799940 + ... + 1802940.
It is an arithmetic number, because the mean of its divisors is an integer number (80094861).
Almost surely, 25406121440 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 5406121440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9611383320).
5406121440 is an abundant number, since it is smaller than the sum of its proper divisors (13816645200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
5406121440 is a wasteful number, since it uses less digits than its factorization.
5406121440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3167 (or 3150 counting only the distinct ones).
The product of its (nonzero) digits is 3840, while the sum is 27.
The square root of 5406121440 is about 73526.3316098389. The cubic root of 5406121440 is about 1755.0733258866.
Adding to 5406121440 its reverse (441216045), we get a palindrome (5847337485).
The spelling of 5406121440 in words is "five billion, four hundred six million, one hundred twenty-one thousand, four hundred forty".
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