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44404251011040 = 2535504591833347
BaseRepresentation
bin10100001100010101010111…
…00110111010011111100000
312211020000010121012211002210
422012022223212322133200
521310004401224323130
6234235010432242120
712232046510000064
oct1206125346723740
9184200117184083
1044404251011040
111316a8120965a8
124b91a119a0340
131ba13c262a87b
14ad726a3d1aa4
155200ca8c95b0
hex2862ab9ba7e0

44404251011040 has 96 divisors (see below), whose sum is σ = 139876239000960. Its totient is φ = 11840892475904.

The previous prime is 44404251011011. The next prime is 44404251011059. The reversal of 44404251011040 is 4011015240444.

44404251011040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 44404251010989 and 44404251011007.

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 15 ways as a sum of consecutive naturals, for example, 23303647 + ... + 25136993.

It is an arithmetic number, because the mean of its divisors is an integer number (1457044156260).

Almost surely, 244404251011040 is an apocalyptic number.

44404251011040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44404251011040 is an abundant number, since it is smaller than the sum of its proper divisors (95471987989920).

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

44404251011040 is a wasteful number, since it uses less digits than its factorization.

44404251011040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1883824 (or 1883816 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 44404251011040 its reverse (4011015240444), we get a palindrome (48415266251484).

The spelling of 44404251011040 in words is "forty-four trillion, four hundred four billion, two hundred fifty-one million, eleven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 50459 100918 151377 201836 252295 302754 403672 504590 605508 756885 807344 1009180 1211016 1513770 1614688 1833347 2018360 2422032 3027540 3666694 4036720 4844064 5500041 6055080 7333388 8073440 9166735 11000082 12110160 14666776 18333470 22000164 24220320 27500205 29333552 36666940 44000328 55000410 58667104 73333880 88000656 110000820 146667760 176001312 220001640 293335520 440003280 880006560 92508856273 185017712546 277526568819 370035425092 462544281365 555053137638 740070850184 925088562730 1110106275276 1387632844095 1480141700368 1850177125460 2220212550552 2775265688190 2960283400736 3700354250920 4440425101104 5550531376380 7400708501840 8880850202208 11101062752760 14801417003680 22202125505520 44404251011040