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4402144080 = 2432547130087
BaseRepresentation
bin1000001100110001…
…10110001101010000
3102100210102002102100
410012120312031100
533003422102310
62004453120400
7214042415205
oct40630661520
912323362370
104402144080
111959994004
12a2a329100
13552033ba9
142da915cac
151ab70dec0
hex106636350

4402144080 has 120 divisors (see below), whose sum is σ = 15098533632. Its totient is φ = 1148919552.

The previous prime is 4402144063. The next prime is 4402144091. The reversal of 4402144080 is 804412044.

It is a happy number.

4402144080 is a `hidden beast` number, since 4 + 40 + 214 + 408 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31204 + ... + 98883.

Almost surely, 24402144080 is an apocalyptic number.

4402144080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4402144080 is an abundant number, since it is smaller than the sum of its proper divisors (10696389552).

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

4402144080 is a wasteful number, since it uses less digits than its factorization.

4402144080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130153 (or 130144 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 4402144080 is about 66348.6554498281. The cubic root of 4402144080 is about 1638.9086631842.

The spelling of 4402144080 in words is "four billion, four hundred two million, one hundred forty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 47 48 60 72 80 90 94 120 141 144 180 188 235 240 282 360 376 423 470 564 705 720 752 846 940 1128 1410 1692 1880 2115 2256 2820 3384 3760 4230 5640 6768 8460 11280 16920 33840 130087 260174 390261 520348 650435 780522 1040696 1170783 1300870 1561044 1951305 2081392 2341566 2601740 3122088 3902610 4683132 5203480 5853915 6114089 6244176 7805220 9366264 10406960 11707830 12228178 15610440 18342267 18732528 23415660 24456356 30570445 31220880 36684534 46831320 48912712 55026801 61140890 73369068 91711335 93662640 97825424 110053602 122281780 146738136 183422670 220107204 244563560 275134005 293476272 366845340 440214408 489127120 550268010 733690680 880428816 1100536020 1467381360 2201072040 4402144080