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44040402100 = 22521927678377
BaseRepresentation
bin101001000001000000…
…110011010010110100
311012200020210020012201
4221001000303102310
51210143320331400
632122030354244
73116235145522
oct510100632264
9135606706181
1044040402100
111774a727a32
12865105b984
1341cb17b836
1421bb03b312
15122b58d06a
hexa410334b4

44040402100 has 72 divisors (see below), whose sum is σ = 100645919360. Its totient is φ = 16680971520.

The previous prime is 44040402089. The next prime is 44040402103. The reversal of 44040402100 is 120404044.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44040402103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5253112 + ... + 5261488.

Almost surely, 244040402100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44040402100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50322959680).

44040402100 is an abundant number, since it is smaller than the sum of its proper divisors (56605517260).

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

44040402100 is a wasteful number, since it uses less digits than its factorization.

44040402100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11177 (or 11170 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 44040402100 its reverse (120404044), we get a palindrome (44160806144).

The spelling of 44040402100 in words is "forty-four billion, forty million, four hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1900 2767 5534 8377 11068 13835 16754 27670 33508 41885 52573 55340 69175 83770 105146 138350 159163 167540 209425 210292 262865 276700 318326 418850 525730 636652 795815 837700 1051460 1314325 1591630 2628650 3183260 3979075 5257300 7958150 15916300 23179159 46358318 92716636 115895795 231791590 440404021 463583180 579478975 880808042 1158957950 1761616084 2202020105 2317915900 4404040210 8808080420 11010100525 22020201050 44040402100