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44411243031040 = 29556873305033
BaseRepresentation
bin10100001100100010011000…
…10111010110101000000000
312211020200011212221020101111
422012101030113112220000
521310113211203443130
6234242124323413104
712232415001122044
oct1206211427265000
9184220155836344
1044411243031040
111317277a98a726
124b93243524194
131ba1c6809b502
14ad7730c72024
1552038966902a
hex28644c5d6a00

44411243031040 has 80 divisors (see below), whose sum is σ = 106485115808808. Its totient is φ = 17764126621696.

The previous prime is 44411243031037. The next prime is 44411243031049. The reversal of 44411243031040 is 4013034211444.

It can be written as a sum of positive squares in 4 ways, for example, as 14092035492096 + 30319207538944 = 3753936^2 + 5506288^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 44411243030993 and 44411243031011.

It is not an unprimeable number, because it can be changed into a prime (44411243031049) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 145442364 + ... + 145747396.

Almost surely, 244411243031040 is an apocalyptic number.

44411243031040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44411243031040 is an abundant number, since it is smaller than the sum of its proper divisors (62073872777768).

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

44411243031040 is an equidigital number, since it uses as much as digits as its factorization.

44411243031040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361929 (or 361913 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 44411243031040 its reverse (4013034211444), we get a palindrome (48424277242484).

The spelling of 44411243031040 in words is "forty-four trillion, four hundred eleven billion, two hundred forty-three million, thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 56873 113746 227492 284365 305033 454984 568730 610066 909968 1137460 1220132 1525165 1819936 2274920 2440264 3050330 3639872 4549840 4880528 6100660 7279744 9099680 9761056 12201320 14559488 18199360 19522112 24402640 29118976 36398720 39044224 48805280 72797440 78088448 97610560 145594880 156176896 195221120 390442240 780884480 17348141809 34696283618 69392567236 86740709045 138785134472 173481418090 277570268944 346962836180 555140537888 693925672360 1110281075776 1387851344720 2220562151552 2775702689440 4441124303104 5551405378880 8882248606208 11102810757760 22205621515520 44411243031040