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44404003420 = 22571738812081
BaseRepresentation
bin101001010110101011…
…110101001001011100
311020121120222002110021
4221112223311021130
51211414411102140
632222055521524
73131241541630
oct512653651134
9136546862407
1044404003420
11179169a1a97
1287329892a4
1342585b784a
142213448dc0
15124d461b4a
hexa56af525c

44404003420 has 96 divisors (see below), whose sum is σ = 107358846336. Its totient is φ = 15111782400.

The previous prime is 44404003403. The next prime is 44404003453. The reversal of 44404003420 is 2430040444.

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 31 ways as a sum of consecutive naturals, for example, 21336780 + ... + 21338860.

It is an arithmetic number, because the mean of its divisors is an integer number (1118321316).

Almost surely, 244404003420 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 44404003420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53679423168).

44404003420 is an abundant number, since it is smaller than the sum of its proper divisors (62954842916).

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

44404003420 is a wasteful number, since it uses less digits than its factorization.

44404003420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3151 (or 3149 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

Adding to 44404003420 its reverse (2430040444), we get a palindrome (46834043864).

The spelling of 44404003420 in words is "forty-four billion, four hundred four million, three thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 173 346 692 865 881 1211 1730 1762 2081 2422 3460 3524 4162 4405 4844 6055 6167 8324 8810 10405 12110 12334 14567 17620 20810 24220 24668 29134 30835 41620 58268 61670 72835 123340 145670 152413 291340 304826 360013 609652 720026 762065 1066891 1440052 1524130 1800065 1833361 2133782 2520091 3048260 3600130 3666722 4267564 5040182 5334455 7200260 7333444 9166805 10080364 10668910 12600455 12833527 18333610 21337820 25200910 25667054 36667220 50401820 51334108 64167635 128335270 256670540 317171453 634342906 1268685812 1585857265 2220200171 3171714530 4440400342 6343429060 8880800684 11101000855 22202001710 44404003420