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44012311110040 = 23571313933867817
BaseRepresentation
bin10100000000111011010100…
…01010110110000110011000
312202211112110122010220100011
422000131222022312012120
521232044203121010130
6233334550540051304
712161533045545010
oct1200355212660630
9182745418126304
1044012311110040
111302957524a949
124b29a69b33b34
131b7345cb156a0
14ac22c889cc40
15514cdb8ed52a
hex28076a2b6198

44012311110040 has 128 divisors (see below), whose sum is σ = 121889134200960. Its totient is φ = 13928155213824.

The previous prime is 44012311109983. The next prime is 44012311110143. The reversal of 44012311110040 is 4001111321044.

It is a junction number, because it is equal to n+sod(n) for n = 44012311109993 and 44012311110020.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50282212 + ... + 51150028.

It is an arithmetic number, because the mean of its divisors is an integer number (952258860945).

Almost surely, 244012311110040 is an apocalyptic number.

44012311110040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44012311110040 is an abundant number, since it is smaller than the sum of its proper divisors (77876823090920).

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

44012311110040 is a wasteful number, since it uses less digits than its factorization.

44012311110040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881781 (or 881777 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 44012311110040 its reverse (4001111321044), we get a palindrome (48013422431084).

The spelling of 44012311110040 in words is "forty-four trillion, twelve billion, three hundred eleven million, one hundred ten thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1820 3640 13933 27866 55732 69665 97531 111464 139330 181129 195062 278660 362258 390124 487655 557320 724516 780248 867817 905645 975310 1267903 1449032 1735634 1811290 1950620 2535806 3471268 3622580 3901240 4339085 5071612 6074719 6339515 6942536 7245160 8678170 10143224 11281621 12149438 12679030 17356340 22563242 24298876 25358060 30373595 34712680 45126484 48597752 50716120 56408105 60747190 78971347 90252968 112816210 121494380 157942694 225632420 242988760 315885388 394856735 451264840 631770776 789713470 1579426940 3158853880 12091294261 24182588522 48365177044 60456471305 84639059827 96730354088 120912942610 157186825393 169278119654 241825885220 314373650786 338556239308 423195299135 483651770440 628747301572 677112478616 785934126965 846390598270 1100307777751 1257494603144 1571868253930 1692781196540 2200615555502 3143736507860 3385562393080 4401231111004 5501538888755 6287473015720 8802462222008 11003077777510 22006155555020 44012311110040