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444030313240040 = 23517377783824939
BaseRepresentation
bin110010011110101111101110…
…1000101110001010111101000
32011020011212211222120222022112
41210331133131011301113220
5431144443040142140130
64212212413155141452
7162346063045213352
oct14475373505612750
92136155758528275
10444030313240040
1111953321aa8322a
12419740715a4888
131609bb56b5b367
147b91278d2a0d2
1536503aa1a6495
hex193d7dd1715e8

444030313240040 has 64 divisors (see below), whose sum is σ = 1004857302153600. Its totient is φ = 176582981324032.

The previous prime is 444030313240021. The next prime is 444030313240051. The reversal of 444030313240040 is 40042313030444.

It is a junction number, because it is equal to n+sod(n) for n = 444030313239979 and 444030313240006.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 537845891 + ... + 538670829.

It is an arithmetic number, because the mean of its divisors is an integer number (15700895346150).

Almost surely, 2444030313240040 is an apocalyptic number.

444030313240040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444030313240040 is an abundant number, since it is smaller than the sum of its proper divisors (560826988913560).

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

444030313240040 is a wasteful number, since it uses less digits than its factorization.

444030313240040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902906 (or 902902 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 444030313240040 its reverse (40042313030444), we get a palindrome (484072626270484).

The spelling of 444030313240040 in words is "four hundred forty-four trillion, thirty billion, three hundred thirteen million, two hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 173 346 692 865 1384 1730 3460 6920 77783 155566 311132 388915 622264 777830 824939 1555660 1649878 3111320 3299756 4124695 6599512 8249390 13456459 16498780 26912918 32997560 53825836 67282295 107651672 134564590 142714447 269129180 285428894 538258360 570857788 713572235 1141715576 1427144470 2854288940 5708577880 64166230237 128332460474 256664920948 320831151185 513329841896 641662302370 1283324604740 2566649209480 11100757831001 22201515662002 44403031324004 55503789155005 88806062648008 111007578310010 222015156620020 444030313240040