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44399820344 = 231121074011069
BaseRepresentation
bin101001010110011011…
…110111111000111000
311020121022002120100112
4221112123313320320
51211412323222334
632221430123452
73131161150235
oct512633677070
9136538076315
1044399820344
11179145a5200
1287314b0588
134257781859
142212a7a78c
15124cdd74ce
hexa566f7e38

44399820344 has 96 divisors (see below), whose sum is σ = 92677964400. Its totient is φ = 19924608000.

The previous prime is 44399820343. The next prime is 44399820469. The reversal of 44399820344 is 44302899344.

It is a junction number, because it is equal to n+sod(n) for n = 44399820292 and 44399820301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44399820343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41533442 + ... + 41534510.

Almost surely, 244399820344 is an apocalyptic number.

44399820344 is a gapful number since it is divisible by the number (44) 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 44399820344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46338982200).

44399820344 is an abundant number, since it is smaller than the sum of its proper divisors (48278144056).

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

44399820344 is a wasteful number, since it uses less digits than its factorization.

44399820344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1605 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 50.

The spelling of 44399820344 in words is "forty-four billion, three hundred ninety-nine million, eight hundred twenty thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 107 121 214 242 401 428 484 802 856 968 1069 1177 1604 2138 2354 3208 4276 4411 4708 8552 8822 9416 11759 12947 17644 23518 25894 35288 42907 47036 48521 51788 85814 94072 97042 103576 114383 129349 171628 194084 228766 258698 343256 388168 428669 457532 471977 517396 857338 915064 943954 1034792 1258213 1714676 1887908 2516426 3429352 3775816 4715359 5032852 5191747 9430718 10065704 10383494 13840343 18861436 20766988 27680686 37722872 41533976 45867583 51868949 55361372 91735166 103737898 110722744 183470332 207475796 366940664 414951592 504543413 1009086826 2018173652 4036347304 5549977543 11099955086 22199910172 44399820344