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10444244444445 = 357283645126539
BaseRepresentation
bin1001011111111011110101…
…1110101110010100011101
31100222110102100112021111210
42113332331132232110131
52332104303034210240
634114004125135033
72125400053665600
oct227767536562435
940873370467453
1010444244444445
113367419787389
1212081b83ba479
135a9b70cb65b6
1428170b484337
15131a2ac81780
hex97fbd7ae51d

10444244444445 has 96 divisors (see below), whose sum is σ = 19677080424960. Its totient is φ = 4716078595200.

The previous prime is 10444244444423. The next prime is 10444244444507. The reversal of 10444244444445 is 54444444244401.

It is a happy number.

It is not a de Polignac number, because 10444244444445 - 214 = 10444244428061 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10444244444394 and 10444244444403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 393529986 + ... + 393556524.

It is an arithmetic number, because the mean of its divisors is an integer number (204969587760).

Almost surely, 210444244444445 is an apocalyptic number.

10444244444445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10444244444445 is a deficient number, since it is larger than the sum of its proper divisors (9232835980515).

10444244444445 is a wasteful number, since it uses less digits than its factorization.

10444244444445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33095 (or 33088 counting only the distinct ones).

The product of its (nonzero) digits is 10485760, while the sum is 48.

Adding to 10444244444445 its reverse (54444444244401), we get a palindrome (64888688688846).

The spelling of 10444244444445 in words is "ten trillion, four hundred forty-four billion, two hundred forty-four million, four hundred forty-four thousand, four hundred forty-five".

Divisors: 1 3 5 7 15 21 35 49 83 105 147 245 249 415 581 735 1245 1743 2905 4067 6451 8715 12201 19353 20335 26539 32255 45157 61005 79617 96765 132695 135471 185773 225785 316099 398085 535433 557319 677355 928865 948297 1300411 1580495 1606299 2202737 2677165 2786595 3748031 3901233 4741485 6502055 6608211 8031495 11013685 11244093 15419159 18740155 19506165 26236217 33041055 46257477 56220465 77095795 78708651 107934113 131181085 171203089 231287385 323802339 393543255 513609267 539670565 856015445 1198421623 1619011695 2568046335 3595264869 5992108115 8388951361 14209856387 17976324345 25166854083 41944756805 42629569161 71049281935 99468994709 125834270415 213147845805 298406984127 497344973545 696282962963 1492034920635 2088848888889 3481414814815 10444244444445