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32444040040 = 235103139181313
BaseRepresentation
bin11110001101110100…
…001100001101101000
310002202002012000000121
4132031310030031220
51012421133240130
622523220213024
72225664535006
oct361564141550
9102662160017
1032444040040
11128398a6535
12635553a174
1330a0830439
1417dac8da76
15c9d49dd7a
hex78dd0c368

32444040040 has 128 divisors (see below), whose sum is σ = 74886739200. Its totient is φ = 12648130560.

The previous prime is 32444039993. The next prime is 32444040043. The reversal of 32444040040 is 4004044423.

It is a junction number, because it is equal to n+sod(n) for n = 32444039987 and 32444040014.

It is not an unprimeable number, because it can be changed into a prime (32444040043) 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 31 ways as a sum of consecutive naturals, for example, 103654924 + ... + 103655236.

It is an arithmetic number, because the mean of its divisors is an integer number (585052650).

Almost surely, 232444040040 is an apocalyptic number.

It is an amenable number.

32444040040 is an abundant number, since it is smaller than the sum of its proper divisors (42442699160).

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

32444040040 is a wasteful number, since it uses less digits than its factorization.

32444040040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

Adding to 32444040040 its reverse (4004044423), we get a palindrome (36448084463).

The spelling of 32444040040 in words is "thirty-two billion, four hundred forty-four million, forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 103 139 181 206 278 313 362 412 515 556 626 695 724 824 905 1030 1112 1252 1390 1448 1565 1810 2060 2504 2780 3130 3620 4120 5560 6260 7240 12520 14317 18643 25159 28634 32239 37286 43507 50318 56653 57268 64478 71585 74572 87014 93215 100636 113306 114536 125795 128956 143170 149144 161195 174028 186430 201272 217535 226612 251590 257912 283265 286340 322390 348056 372860 435070 453224 503180 566530 572680 644780 745720 870140 1006360 1133060 1289560 1740280 2266120 2591377 4481221 5182754 5835259 7874767 8962442 10365508 11670518 12956885 15749534 17924884 20731016 22406105 23341036 25913770 29176295 31499068 35849768 39373835 44812210 46682072 51827540 58352590 62998136 78747670 89624420 103655080 116705180 157495340 179248840 233410360 314990680 811101001 1622202002 3244404004 4055505005 6488808008 8111010010 16222020020 32444040040