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4144628475 = 3252131724903
BaseRepresentation
bin1111011100001010…
…0000001011111011
3101200211211221102100
43313002200023323
531442011102400
61523133434443
7204464521641
oct36702401373
911624757370
104144628475
111837597799
1297803ba23
1351088c6b0
142b4641191
15193ce3100
hexf70a02fb

4144628475 has 108 divisors (see below), whose sum is σ = 8494188976. Its totient is φ = 1920015360.

The previous prime is 4144628447. The next prime is 4144628491. The reversal of 4144628475 is 5748264414.

4144628475 is a `hidden beast` number, since 4 + 14 + 4 + 628 + 4 + 7 + 5 = 666.

It is not a de Polignac number, because 4144628475 - 217 = 4144497403 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 4144628475.

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 107 ways as a sum of consecutive naturals, for example, 842874 + ... + 847776.

Almost surely, 24144628475 is an apocalyptic number.

4144628475 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4144628475 is an abundant number, since it is smaller than the sum of its proper divisors (4349560501).

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

4144628475 is a wasteful number, since it uses less digits than its factorization.

4144628475 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4966 (or 4941 counting only the distinct ones).

The product of its digits is 860160, while the sum is 45.

The square root of 4144628475 is about 64378.7890147058. The cubic root of 4144628475 is about 1606.3069390910.

The spelling of 4144628475 in words is "four billion, one hundred forty-four million, six hundred twenty-eight thousand, four hundred seventy-five".

Divisors: 1 3 5 9 13 15 17 25 39 45 51 65 75 85 117 153 195 221 225 255 289 325 425 585 663 765 867 975 1105 1275 1445 1989 2601 2925 3315 3757 3825 4335 4903 5525 7225 9945 11271 13005 14709 16575 18785 21675 24515 33813 44127 49725 56355 63739 65025 73545 83351 93925 122575 169065 191217 220635 250053 281775 318695 367725 416755 573651 750159 845325 956085 1083563 1103175 1250265 1416967 1593475 2083775 2868255 3250689 3750795 4250901 4780425 5417815 6251325 7084835 9752067 12752703 14341275 16253445 18420571 18753975 21254505 27089075 35424175 48760335 55261713 63763515 81267225 92102855 106272525 165785139 243801675 276308565 318817575 460514275 828925695 1381542825 4144628475