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444344245244240 = 245113721283641213
BaseRepresentation
bin110010100001000001111010…
…0111001010101000101010000
32011021021220011110001010221012
41211002003310321111011100
5431220114003240303430
64213012532255350052
7162410545424216045
oct14502036471250520
92137256143033835
10444344245244240
11119644377456490
1241a04a84822328
13160c263717c623
147ba253a4c51cc
153658630a16695
hex19420f4e55150

444344245244240 has 160 divisors (see below), whose sum is σ = 1157534737785216. Its totient is φ = 157205073991680.

The previous prime is 444344245244233. The next prime is 444344245244261. The reversal of 444344245244240 is 42442542443444.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 692653874 + ... + 693295086.

Almost surely, 2444344245244240 is an apocalyptic number.

444344245244240 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 444344245244240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578767368892608).

444344245244240 is an abundant number, since it is smaller than the sum of its proper divisors (713190492540976).

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

444344245244240 is a wasteful number, since it uses less digits than its factorization.

444344245244240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662557 (or 662551 counting only the distinct ones).

The product of its (nonzero) digits is 31457280, while the sum is 50.

Adding to 444344245244240 its reverse (42442542443444), we get a palindrome (486786787687684).

The spelling of 444344245244240 in words is "four hundred forty-four trillion, three hundred forty-four billion, two hundred forty-five million, two hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 37 40 44 55 74 80 88 110 148 176 185 220 296 370 407 440 592 740 814 880 1480 1628 2035 2960 3256 4070 6512 8140 16280 21283 32560 42566 85132 106415 170264 212830 234113 340528 425660 468226 641213 787471 851320 936452 1170565 1282426 1574942 1702640 1872904 2341130 2564852 3149884 3206065 3745808 3937355 4682260 5129704 6299768 6412130 7053343 7874710 8662181 9364520 10259408 12599536 12824260 14106686 15749420 17324362 18729040 23724881 25648520 28213372 31498840 34648724 35266715 43310905 47449762 51297040 56426744 62997680 69297448 70533430 86621810 94899524 112853488 118624405 138594896 141066860 173243620 189799048 237248810 260973691 282133720 346487240 379598096 474497620 521947382 564267440 692974480 948995240 1043894764 1304868455 1897990480 2087789528 2609736910 4175579056 5219473820 10438947640 13646936279 20877895280 27293872558 54587745116 68234681395 109175490232 136469362790 150116299069 218350980464 272938725580 300232598138 504936642323 545877451160 600465196276 750581495345 1009873284646 1091754902320 1200930392552 1501162990690 2019746569292 2401860785104 2524683211615 3002325981380 4039493138584 5049366423230 5554303065553 6004651962760 8078986277168 10098732846460 11108606131106 12009303925520 20197465692920 22217212262212 27771515327765 40394931385840 44434424524424 55543030655530 88868849048848 111086061311060 222172122622120 444344245244240