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444497412440 = 23534061326251
BaseRepresentation
bin1100111011111100001…
…11000100000101011000
31120111022210022010112102
412131332013010011120
524240312314144230
6540111014102532
744054026444304
oct6357607040530
91514283263472
10444497412440
11161568223a24
127219134aa48
1332bba39c6a3
1417729ba4d04
15b86815c045
hex677e1c4158

444497412440 has 32 divisors (see below), whose sum is σ = 1000151606160. Its totient is φ = 177793200000.

The previous prime is 444497412431. The next prime is 444497412451. The reversal of 444497412440 is 44214794444.

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 7 ways as a sum of consecutive naturals, for example, 1199315 + ... + 1525565.

Almost surely, 2444497412440 is an apocalyptic number.

444497412440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444497412440 is an abundant number, since it is smaller than the sum of its proper divisors (555654193720).

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

444497412440 is a wasteful number, since it uses less digits than its factorization.

444497412440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360323 (or 360319 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 47.

The spelling of 444497412440 in words is "four hundred forty-four billion, four hundred ninety-seven million, four hundred twelve thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 34061 68122 136244 170305 272488 326251 340610 652502 681220 1305004 1362440 1631255 2610008 3262510 6525020 13050040 11112435311 22224870622 44449741244 55562176555 88899482488 111124353110 222248706220 444497412440