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44808480040 = 23531358110091
BaseRepresentation
bin101001101110110010…
…110010010100101000
311021122210001122001211
4221232302302110220
51213231432330130
632330145122504
73144252540022
oct515662622450
9137583048054
1044808480040
1118004245295
128826329434
1342c133591c
142251057012
151273c0ba2a
hexa6ecb2528

44808480040 has 64 divisors (see below), whose sum is σ = 104110686720. Its totient is φ = 17338656000.

The previous prime is 44808480011. The next prime is 44808480047. The reversal of 44808480040 is 4008480844.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 44808479975 and 44808480002.

It is not an unprimeable number, because it can be changed into a prime (44808480047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4435395 + ... + 4445485.

It is an arithmetic number, because the mean of its divisors is an integer number (1626729480).

Almost surely, 244808480040 is an apocalyptic number.

44808480040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44808480040 is an abundant number, since it is smaller than the sum of its proper divisors (59302206680).

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

44808480040 is a wasteful number, since it uses less digits than its factorization.

44808480040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13714 (or 13710 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 40.

The spelling of 44808480040 in words is "forty-four billion, eight hundred eight million, four hundred eighty thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 3581 7162 10091 14324 17905 20182 28648 35810 40364 50455 71620 80728 100910 111011 143240 201820 222022 312821 403640 444044 555055 625642 888088 1110110 1251284 1564105 2220220 2502568 3128210 4440440 6256420 12512840 36135871 72271742 144543484 180679355 289086968 361358710 722717420 1120212001 1445434840 2240424002 4480848004 5601060005 8961696008 11202120010 22404240020 44808480040