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4200144032 = 257171102979
BaseRepresentation
bin1111101001011001…
…0001110010100000
3101211201022102110002
43322112101302200
532100214102112
61532435355132
7206040430610
oct37226216240
911751272402
104200144032
111865965417
12992752aa8
1351c229436
142bbb72a40
15198b0c1c2
hexfa591ca0

4200144032 has 48 divisors (see below), whose sum is σ = 10006234560. Its totient is φ = 1694174208.

The previous prime is 4200144031. The next prime is 4200144071. The reversal of 4200144032 is 2304410024.

It is a junction number, because it is equal to n+sod(n) for n = 4200143995 and 4200144013.

It is not an unprimeable number, because it can be changed into a prime (4200144031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 547682 + ... + 555297.

It is an arithmetic number, because the mean of its divisors is an integer number (208463220).

Almost surely, 24200144032 is an apocalyptic number.

It is an amenable number.

4200144032 is an abundant number, since it is smaller than the sum of its proper divisors (5806090528).

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

4200144032 is a wasteful number, since it uses less digits than its factorization.

4200144032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103013 (or 1103005 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4200144032 is about 64808.5182055569. The cubic root of 4200144032 is about 1613.4470890958.

Adding to 4200144032 its reverse (2304410024), we get a palindrome (6504554056).

The spelling of 4200144032 in words is "four billion, two hundred million, one hundred forty-four thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 476 544 952 1904 3808 1102979 2205958 4411916 7720853 8823832 15441706 17647664 18750643 30883412 35295328 37501286 61766824 75002572 123533648 131254501 150005144 247067296 262509002 300010288 525018004 600020576 1050036008 2100072016 4200144032