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10444110321040 = 2451137320765059
BaseRepresentation
bin1001011111111011010101…
…1111000101010110010000
31100222110002000011002210021
42113332311133011112100
52332104014220233130
634113542534313224
72125363534652344
oct227766537052620
940873060132707
1010444110321040
11336735aaa94a0
12120817b4b8814
135a9b4c286036
142816d772d624
15131a1e0db37a
hex97fb57c5590

10444110321040 has 80 divisors (see below), whose sum is σ = 27206009328960. Its totient is φ = 3695213468160.

The previous prime is 10444110321023. The next prime is 10444110321053. The reversal of 10444110321040 is 4012301144401.

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 = 10444110320996 and 10444110321014.

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, 160349970 + ... + 160415089.

It is an arithmetic number, because the mean of its divisors is an integer number (340075116612).

Almost surely, 210444110321040 is an apocalyptic number.

10444110321040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10444110321040 is an abundant number, since it is smaller than the sum of its proper divisors (16761899007920).

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

10444110321040 is a wasteful number, since it uses less digits than its factorization.

10444110321040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320765120 (or 320765114 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 10444110321040 its reverse (4012301144401), we get a palindrome (14456411465441).

The spelling of 10444110321040 in words is "ten trillion, four hundred forty-four billion, one hundred ten million, three hundred twenty-one thousand, 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 32560 320765059 641530118 1283060236 1603825295 2566120472 3207650590 3528415649 5132240944 6415301180 7056831298 11868307183 12830602360 14113662596 17642078245 23736614366 25661204720 28227325192 35284156490 47473228732 56454650384 59341535915 70568312980 94946457464 118683071830 130551379013 141136625960 189892914928 237366143660 261102758026 282273251920 474732287320 522205516052 652756895065 949464574640 1044411032104 1305513790130 2088822064208 2611027580260 5222055160520 10444110321040