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32424110040 = 23357291331039
BaseRepresentation
bin11110001100101000…
…001010011111011000
310002200200200110012110
4132030220022133120
51012401033010130
622521225112320
72225333250030
oct361450123730
9102620613173
1032424110040
1112829623863
12634a9286a0
133099672b3a
1417d83828c0
15c9b863ab0
hex78ca0a7d8

32424110040 has 128 divisors (see below), whose sum is σ = 115001856000. Its totient is φ = 7155660288.

The previous prime is 32424110039. The next prime is 32424110083. The reversal of 32424110040 is 4001142423.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 32424109989 and 32424110016.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 641160 + ... + 689879.

It is an arithmetic number, because the mean of its divisors is an integer number (898452000).

Almost surely, 232424110040 is an apocalyptic number.

32424110040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32424110040 is an abundant number, since it is smaller than the sum of its proper divisors (82577745960).

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

32424110040 is a wasteful number, since it uses less digits than its factorization.

32424110040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331089 (or 1331085 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 32424110040 its reverse (4001142423), we get a palindrome (36425252463).

The spelling of 32424110040 in words is "thirty-two billion, four hundred twenty-four million, one hundred ten thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 29 30 35 40 42 56 58 60 70 84 87 105 116 120 140 145 168 174 203 210 232 280 290 348 406 420 435 580 609 696 812 840 870 1015 1160 1218 1624 1740 2030 2436 3045 3480 4060 4872 6090 8120 12180 24360 1331039 2662078 3993117 5324156 6655195 7986234 9317273 10648312 13310390 15972468 18634546 19965585 26620780 27951819 31944936 37269092 38600131 39931170 46586365 53241560 55903638 74538184 77200262 79862340 93172730 111807276 115800393 139759095 154400524 159724680 186345460 193000655 223614552 231600786 270200917 279518190 308801048 372690920 386001310 463201572 540401834 559036380 579001965 772002620 810602751 926403144 1080803668 1118072760 1158003930 1351004585 1544005240 1621205502 2161607336 2316007860 2702009170 3242411004 4053013755 4632015720 5404018340 6484822008 8106027510 10808036680 16212055020 32424110040