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44446464440 = 2357169393761
BaseRepresentation
bin101001011001001101…
…110011100110111000
311020201112212100000122
4221121031303212320
51212011243330230
632230213552412
73132265466660
oct513115634670
9136645770018
1044446464440
1117938963644
128745045708
134264333601
142218d3d1a0
15125204cbe5
hexa593739b8

44446464440 has 64 divisors (see below), whose sum is σ = 114359636160. Its totient is φ = 15229624320.

The previous prime is 44446464409. The next prime is 44446464463. The reversal of 44446464440 is 4446464444.

It is a junction number, because it is equal to n+sod(n) for n = 44446464391 and 44446464400.

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 15 ways as a sum of consecutive naturals, for example, 427160 + ... + 520920.

It is an arithmetic number, because the mean of its divisors is an integer number (1786869315).

Almost surely, 244446464440 is an apocalyptic number.

44446464440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44446464440 is an abundant number, since it is smaller than the sum of its proper divisors (69913171720).

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

44446464440 is a wasteful number, since it uses less digits than its factorization.

44446464440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95472 (or 95468 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 44.

The spelling of 44446464440 in words is "forty-four billion, four hundred forty-six million, four hundred sixty-four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 1693 3386 6772 8465 11851 13544 16930 23702 33860 47404 59255 67720 93761 94808 118510 187522 237020 375044 468805 474040 656327 750088 937610 1312654 1875220 2625308 3281635 3750440 5250616 6563270 13126540 26253080 158737373 317474746 634949492 793686865 1111161611 1269898984 1587373730 2222323222 3174747460 4444646444 5555808055 6349494920 8889292888 11111616110 22223232220 44446464440