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32214342440 = 2357217966817
BaseRepresentation
bin11110000000000111…
…111101101100101000
310002011001222011011002
4132000013331230220
51011433332424230
622444333054132
72220205251500
oct360007755450
9102131864132
1032214342440
111273117a305
1262b0627348
1330650789b7
1417b857aa00
15c8822a545
hex7801fdb28

32214342440 has 96 divisors (see below), whose sum is σ = 89275974120. Its totient is φ = 10395205632.

The previous prime is 32214342421. The next prime is 32214342449. The reversal of 32214342440 is 4424341223.

It can be written as a sum of positive squares in 4 ways, for example, as 26069977444 + 6144364996 = 161462^2 + 78386^2 .

It is not an unprimeable number, because it can be changed into a prime (32214342449) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 450089 + ... + 516728.

Almost surely, 232214342440 is an apocalyptic number.

It is an amenable number.

32214342440 is an abundant number, since it is smaller than the sum of its proper divisors (57061631680).

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

32214342440 is a wasteful number, since it uses less digits than its factorization.

32214342440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966859 (or 966848 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 32214342440 its reverse (4424341223), we get a palindrome (36638683663).

The spelling of 32214342440 in words is "thirty-two billion, two hundred fourteen million, three hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 49 56 68 70 85 98 119 136 140 170 196 238 245 280 340 392 476 490 595 680 833 952 980 1190 1666 1960 2380 3332 4165 4760 6664 8330 16660 33320 966817 1933634 3867268 4834085 6767719 7734536 9668170 13535438 16435889 19336340 27070876 32871778 33838595 38672680 47374033 54141752 65743556 67677190 82179445 94748066 115051223 131487112 135354380 164358890 189496132 230102446 236870165 270708760 328717780 378992264 460204892 473740330 575256115 657435560 805358561 920409784 947480660 1150512230 1610717122 1894961320 2301024460 3221434244 4026792805 4602048920 6442868488 8053585610 16107171220 32214342440