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113440131024440 = 235115918793232523
BaseRepresentation
bin11001110010110001010110…
…101101101000011000111000
3112212122202210202222200210112
4121302301112231220120320
5104332100342020240230
61041133402102403452
732615531124664133
oct3162612655503070
9485582722880715
10113440131024440
1133166764648970
121088155a430588
134b3b4876a8aac
142002762b5321a
15d1ac88ab8d95
hex672c56b68638

113440131024440 has 128 divisors (see below), whose sum is σ = 283179632428800. Its totient is φ = 40549455774720.

The previous prime is 113440131024391. The next prime is 113440131024463. The reversal of 113440131024440 is 44420131044311.

It is a super-2 number, since 2×1134401310244402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113440131024397 and 113440131024406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 487750019 + ... + 487982541.

It is an arithmetic number, because the mean of its divisors is an integer number (2212340878350).

Almost surely, 2113440131024440 is an apocalyptic number.

113440131024440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113440131024440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141589816214400).

113440131024440 is an abundant number, since it is smaller than the sum of its proper divisors (169739501404360).

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

113440131024440 is a wasteful number, since it uses less digits than its factorization.

113440131024440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251397 (or 251393 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 113440131024440 its reverse (44420131044311), we get a palindrome (157860262068751).

The spelling of 113440131024440 in words is "one hundred thirteen trillion, four hundred forty billion, one hundred thirty-one million, twenty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 59 88 110 118 220 236 295 440 472 590 649 1180 1298 2360 2596 3245 5192 6490 12980 18793 25960 37586 75172 93965 150344 187930 206723 232523 375860 413446 465046 751720 826892 930092 1033615 1108787 1162615 1653784 1860184 2067230 2217574 2325230 2557753 4134460 4435148 4650460 5115506 5543935 8268920 8870296 9300920 10231012 11087870 12196657 12788765 13718857 20462024 22175740 24393314 25577530 27437714 44351480 48786628 51155060 54875428 60983285 68594285 97573256 102310120 109750856 121966570 137188570 150907427 243933140 274377140 301814854 487866280 548754280 603629708 754537135 1207259416 1509074270 3018148540 4369804739 6036297080 8739609478 17479218956 21849023695 34958437912 43698047390 48067852129 87396094780 96135704258 174792189560 192271408516 240339260645 257818479601 384542817032 480678521290 515636959202 961357042580 1031273918404 1289092398005 1922714085160 2062547836808 2578184796010 2836003275611 5156369592020 5672006551222 10312739184040 11344013102444 14180016378055 22688026204888 28360032756110 56720065512220 113440131024440