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44052253301040 = 2435983186725387
BaseRepresentation
bin10100000010000101101101…
…11010001101100100110000
312202222100120021102102210120
422001002312322031210300
521233223003321113130
6233405154211530240
712164445621555315
oct1201026672154460
9182870507372716
1044052253301040
1113044501604156
124b357565b9980
131b77156c0732a
14ac41d74dcd0c
15515d782b6910
hex2810b6e8d930

44052253301040 has 80 divisors (see below), whose sum is σ = 136700909653248. Its totient is φ = 11735317059328.

The previous prime is 44052253301009. The next prime is 44052253301059. The reversal of 44052253301040 is 4010335225044.

44052253301040 is digitally balanced in base 6, 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 (80).

It is a junction number, because it is equal to n+sod(n) for n = 44052253300992 and 44052253301010.

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 15 ways as a sum of consecutive naturals, for example, 93126774 + ... + 93598613.

Almost surely, 244052253301040 is an apocalyptic number.

44052253301040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44052253301040 is an abundant number, since it is smaller than the sum of its proper divisors (92648656352208).

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

44052253301040 is a wasteful number, since it uses less digits than its factorization.

44052253301040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186726386 (or 186726380 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

Adding to 44052253301040 its reverse (4010335225044), we get a palindrome (48062588526084).

The spelling of 44052253301040 in words is "forty-four trillion, fifty-two billion, two hundred fifty-three million, three hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 983 1966 2949 3932 4915 5898 7864 9830 11796 14745 15728 19660 23592 29490 39320 47184 58980 78640 117960 235920 186725387 373450774 560176161 746901548 933626935 1120352322 1493803096 1867253870 2240704644 2800880805 2987606192 3734507740 4481409288 5601761610 7469015480 8962818576 11203523220 14938030960 22407046440 44814092880 183551055421 367102110842 550653166263 734204221684 917755277105 1101306332526 1468408443368 1835510554210 2202612665052 2753265831315 2936816886736 3671021108420 4405225330104 5506531662630 7342042216840 8810450660208 11013063325260 14684084433680 22026126650520 44052253301040