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44128221680 = 2453717418563
BaseRepresentation
bin101001000110001111…
…110011100111110000
311012220101000221000202
4221012033303213300
51210333311043210
632134444534332
73121352460344
oct510617634760
9135811027022
1044128221680
111779525a0a4
1286765513a8
13421341919a
1421c897b624
1512341389a5
hexa463f39f0

44128221680 has 80 divisors (see below), whose sum is σ = 105443873184. Its totient is φ = 17162357760.

The previous prime is 44128221673. The next prime is 44128221691. The reversal of 44128221680 is 8612282144.

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

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 15 ways as a sum of consecutive naturals, for example, 5149079 + ... + 5157641.

Almost surely, 244128221680 is an apocalyptic number.

44128221680 is a gapful number since it is divisible by the number (40) 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 44128221680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52721936592).

44128221680 is an abundant number, since it is smaller than the sum of its proper divisors (61315651504).

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

44128221680 is a wasteful number, since it uses less digits than its factorization.

44128221680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10354 (or 10348 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 38.

The spelling of 44128221680 in words is "forty-four billion, one hundred twenty-eight million, two hundred twenty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 1741 2960 3482 6964 8563 8705 13928 17126 17410 27856 34252 34820 42815 64417 68504 69640 85630 128834 137008 139280 171260 257668 316831 322085 342520 515336 633662 644170 685040 1030672 1267324 1288340 1584155 2534648 2576680 3168310 5069296 5153360 6336620 12673240 14908183 25346480 29816366 59632732 74540915 119265464 149081830 238530928 298163660 551602771 596327320 1103205542 1192654640 2206411084 2758013855 4412822168 5516027710 8825644336 11032055420 22064110840 44128221680