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5400486144 = 283215312
BaseRepresentation
bin1010000011110010…
…01110000100000000
3111221100222010021100
411001321032010000
542030011024034
62251515054400
7250554242364
oct50171160400
914840863240
105400486144
112321485199
121068741400
13680b10541
143933512a4
152191b4099
hex141e4e100

5400486144 has 81 divisors (see below), whose sum is σ = 15581109999. Its totient is φ = 1798986240.

The previous prime is 5400486139. The next prime is 5400486149. The reversal of 5400486144 is 4416840045.

It is a happy number.

The square root of 5400486144 is 73488.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (5400486139) and next prime (5400486149).

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 = 5400486099 and 5400486108.

It is not an unprimeable number, because it can be changed into a prime (5400486149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3526659 + ... + 3528189.

Almost surely, 25400486144 is an apocalyptic number.

5400486144 is the 73488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5400486144

5400486144 is an abundant number, since it is smaller than the sum of its proper divisors (10180623855).

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

5400486144 is an frugal number, since it uses more digits than its factorization.

5400486144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3084 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The cubic root of 5400486144 is about 1754.4632892619.

Multiplying 5400486144 by its sum of digits (36), we get a square (194417501184 = 4409282).

5400486144 divided by its sum of digits (36) gives a square (150013504 = 122482).

The spelling of 5400486144 in words is "five billion, four hundred million, four hundred eighty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 1531 2304 3062 4593 6124 9186 12248 13779 18372 24496 27558 36744 48992 55116 73488 97984 110232 146976 195968 220464 293952 391936 440928 587904 881856 1175808 1763712 2343961 3527424 4687922 7031883 9375844 14063766 18751688 21095649 28127532 37503376 42191298 56255064 75006752 84382596 112510128 150013504 168765192 225020256 300027008 337530384 450040512 600054016 675060768 900081024 1350121536 1800162048 2700243072 5400486144