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44344401440 = 2552112934483
BaseRepresentation
bin101001010011001000…
…011101111000100000
311020110102210222220112
4221103020131320200
51211304131321230
632212130230452
73126616123133
oct512310357040
9136412728815
1044344401440
1117896293159
128716a25428
134249149ac1
14220957221a
1512480dbd95
hexa5321de20

44344401440 has 96 divisors (see below), whose sum is σ = 105642968256. Its totient is φ = 17589519360.

The previous prime is 44344401371. The next prime is 44344401467. The reversal of 44344401440 is 4410444344.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 44344401397 and 44344401406.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9889439 + ... + 9893921.

It is an arithmetic number, because the mean of its divisors is an integer number (1100447586).

Almost surely, 244344401440 is an apocalyptic number.

44344401440 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 44344401440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52821484128).

44344401440 is an abundant number, since it is smaller than the sum of its proper divisors (61298566816).

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

44344401440 is a wasteful number, since it uses less digits than its factorization.

44344401440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5002 (or 4994 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 44344401440 its reverse (4410444344), we get a palindrome (48754845784).

The spelling of 44344401440 in words is "forty-four billion, three hundred forty-four million, four hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 211 293 422 586 844 1055 1172 1465 1688 2110 2344 2930 3376 4220 4483 4688 5860 6752 8440 8966 9376 11720 16880 17932 22415 23440 33760 35864 44830 46880 61823 71728 89660 123646 143456 179320 247292 309115 358640 494584 618230 717280 945913 989168 1236460 1313519 1891826 1978336 2472920 2627038 3783652 4729565 4945840 5254076 6567595 7567304 9459130 9891680 10508152 13135190 15134608 18918260 21016304 26270380 30269216 37836520 42032608 52540760 75673040 105081520 151346080 210163040 277152509 554305018 1108610036 1385762545 2217220072 2771525090 4434440144 5543050180 8868880288 11086100360 22172200720 44344401440