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44424322112240 = 2457599132435971
BaseRepresentation
bin10100001100111010101111…
…11100000101101011110000
312211021220221101112101212022
422012131113330011223300
521310322002430042430
6234252130221451012
712233360054355110
oct1206352774055360
9184256841471768
1044424322112240
1113178281768a44
124b95893710a68
131ba327096b305
14ad8211d05040
155208a29dc4e5
hex286757f05af0

44424322112240 has 80 divisors (see below), whose sum is σ = 118238835801600. Its totient is φ = 15205768331520.

The previous prime is 44424322112179. The next prime is 44424322112251. The reversal of 44424322112240 is 4221122342444.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 44424322112240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65882546 + ... + 66553425.

It is an arithmetic number, because the mean of its divisors is an integer number (1477985447520).

Almost surely, 244424322112240 is an apocalyptic number.

44424322112240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44424322112240 is an abundant number, since it is smaller than the sum of its proper divisors (73814513689360).

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

44424322112240 is a wasteful number, since it uses less digits than its factorization.

44424322112240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132436590 (or 132436584 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 35.

Adding to 44424322112240 its reverse (4221122342444), we get a palindrome (48645444454684).

The spelling of 44424322112240 in words is "forty-four trillion, four hundred twenty-four billion, three hundred twenty-two million, one hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 599 1198 2396 2995 4193 4792 5990 8386 9584 11980 16772 20965 23960 33544 41930 47920 67088 83860 167720 335440 132435971 264871942 529743884 662179855 927051797 1059487768 1324359710 1854103594 2118975536 2648719420 3708207188 4635258985 5297438840 7416414376 9270517970 10594877680 14832828752 18541035940 37082071880 74164143760 79329146629 158658293258 317316586516 396645733145 555304026403 634633173032 793291466290 1110608052806 1269266346064 1586582932580 2221216105612 2776520132015 3173165865160 4442432211224 5553040264030 6346331730320 8884864422448 11106080528060 22212161056120 44424322112240