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44403040344 = 233134119917443
BaseRepresentation
bin101001010110101000…
…001010000001011000
311020121112011011100210
4221112220022001120
51211414134242334
632222023131120
73131230421055
oct512650120130
9136545134323
1044403040344
11179163a4463
1287325a3aa0
13425833b390
14221327802c
15124d3215e9
hexa56a0a058

44403040344 has 128 divisors (see below), whose sum is σ = 123084864000. Its totient is φ = 13261501440.

The previous prime is 44403040343. The next prime is 44403040361. The reversal of 44403040344 is 44304030444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44403040343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2536887 + ... + 2554329.

It is an arithmetic number, because the mean of its divisors is an integer number (961600500).

Almost surely, 244403040344 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 44403040344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61542432000).

44403040344 is an abundant number, since it is smaller than the sum of its proper divisors (78681823656).

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

44403040344 is a wasteful number, since it uses less digits than its factorization.

44403040344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17705 (or 17701 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 44403040344 its reverse (44304030444), we get a palindrome (88707070788).

The spelling of 44403040344 in words is "forty-four billion, four hundred three million, forty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 41 52 78 82 104 123 156 164 199 246 312 328 398 492 533 597 796 984 1066 1194 1592 1599 2132 2388 2587 3198 4264 4776 5174 6396 7761 8159 10348 12792 15522 16318 17443 20696 24477 31044 32636 34886 48954 52329 62088 65272 69772 97908 104658 106067 139544 195816 209316 212134 226759 318201 418632 424268 453518 636402 680277 715163 848536 907036 1272804 1360554 1430326 1814072 2145489 2545608 2721108 2860652 3471157 4290978 5442216 5721304 6942314 8581956 9297119 10413471 13884628 17163912 18594238 20826942 27769256 27891357 37188476 41653884 45125041 55782714 74376952 83307768 90250082 111565428 135375123 142317437 180500164 223130856 270750246 284634874 361000328 426952311 541500492 569269748 853904622 1083000984 1138539496 1707809244 1850126681 3415618488 3700253362 5550380043 7400506724 11100760086 14801013448 22201520172 44403040344