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44408084640 = 2535251368593
BaseRepresentation
bin101001010110111011…
…011001100010100000
311020121212122102211120
4221112323121202200
51211421432202030
632222323212240
73131321330343
oct512673314240
9136555572746
1044408084640
111791922a2a7
128734217080
1342593b637a
142213bcc45a
15124d9bb010
hexa56ed98a0

44408084640 has 96 divisors (see below), whose sum is σ = 140443160256. Its totient is φ = 11794944000.

The previous prime is 44408084599. The next prime is 44408084681. The reversal of 44408084640 is 4648080444.

It is an interprime number because it is at equal distance from previous prime (44408084599) and next prime (44408084681).

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 44408084592 and 44408084601.

It is an unprimeable number.

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, 63817 + ... + 304776.

It is an arithmetic number, because the mean of its divisors is an integer number (1462949586).

Almost surely, 244408084640 is an apocalyptic number.

44408084640 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 44408084640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70221580128).

44408084640 is an abundant number, since it is smaller than the sum of its proper divisors (96035075616).

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

44408084640 is a wasteful number, since it uses less digits than its factorization.

44408084640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368862 (or 368854 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 42.

The spelling of 44408084640 in words is "forty-four billion, four hundred eight million, eighty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 251 480 502 753 1004 1255 1506 2008 2510 3012 3765 4016 5020 6024 7530 8032 10040 12048 15060 20080 24096 30120 40160 60240 120480 368593 737186 1105779 1474372 1842965 2211558 2948744 3685930 4423116 5528895 5897488 7371860 8846232 11057790 11794976 14743720 17692464 22115580 29487440 35384928 44231160 58974880 88462320 92516843 176924640 185033686 277550529 370067372 462584215 555101058 740134744 925168430 1110202116 1387752645 1480269488 1850336860 2220404232 2775505290 2960538976 3700673720 4440808464 5551010580 7401347440 8881616928 11102021160 14802694880 22204042320 44408084640