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1044420423345 = 325132472921987
BaseRepresentation
bin11110011001011000100…
…11101110111010110001
310200211211110021201211200
433030230103232322301
5114102433112021340
62115444454201413
7135312466056315
oct17145423567261
93624743251750
101044420423345
11372a33112472
1214a4ba353269
13776470b2100
143879bb27b45
151c27b36d330
hexf32c4eeeb1

1044420423345 has 72 divisors (see below), whose sum is σ = 2002005922176. Its totient is φ = 503236116864.

The previous prime is 1044420423331. The next prime is 1044420423391. The reversal of 1044420423345 is 5433240244401.

1044420423345 is a `hidden beast` number, since 1 + 0 + 444 + 204 + 2 + 3 + 3 + 4 + 5 = 666.

It is not a de Polignac number, because 1044420423345 - 28 = 1044420423089 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1103559 + ... + 1818428.

It is an arithmetic number, because the mean of its divisors is an integer number (27805637808).

Almost surely, 21044420423345 is an apocalyptic number.

1044420423345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1044420423345 is a deficient number, since it is larger than the sum of its proper divisors (957585498831).

1044420423345 is a wasteful number, since it uses less digits than its factorization.

1044420423345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2922071 (or 2922055 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 1044420423345 its reverse (5433240244401), we get a palindrome (6477660667746).

The spelling of 1044420423345 in words is "one trillion, forty-four billion, four hundred twenty million, four hundred twenty-three thousand, three hundred forty-five".

Divisors: 1 3 5 9 13 15 39 45 47 65 117 141 169 195 235 423 507 585 611 705 845 1521 1833 2115 2535 3055 5499 7605 7943 9165 23829 27495 39715 71487 119145 357435 2921987 8765961 14609935 26297883 37985831 43829805 113957493 131489415 137333389 189929155 341872479 412000167 493815803 569787465 686666945 1236000501 1481447409 1709362395 1785334057 2060000835 2469079015 4444342227 5356002171 6180002505 7407237045 8926670285 16068006513 22221711135 23209342741 26780010855 69628028223 80340032565 116046713705 208884084669 348140141115 1044420423345