Search a number
-
+
44372355327344 = 2411614133043529
BaseRepresentation
bin10100001011011001111100…
…11110100010010101110000
312211002221210201212012120102
422011230332132202111300
521303444040430433334
6234212213441131532
712226540221106442
oct1205547636422560
9184087721765512
1044372355327344
1113158234885330
124b877b0029ba8
131b9b3ab5b3755
14ad58c22c4492
1551e36064667e
hex285b3e7a2570

44372355327344 has 40 divisors (see below), whose sum is σ = 95324515975920. Its totient is φ = 19838608934400.

The previous prime is 44372355327343. The next prime is 44372355327361.

44372355327344 is nontrivially palindromic in base 10.

44372355327344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 44372355327344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44372355327343) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2066511029 + ... + 2066532500.

It is an arithmetic number, because the mean of its divisors is an integer number (2383112899398).

Almost surely, 244372355327344 is an apocalyptic number.

44372355327344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44372355327344 is an abundant number, since it is smaller than the sum of its proper divisors (50952160648576).

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

44372355327344 is a wasteful number, since it uses less digits than its factorization.

44372355327344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4133043609 (or 4133043603 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 56.

The spelling of 44372355327344 in words is "forty-four trillion, three hundred seventy-two billion, three hundred fifty-five million, three hundred twenty-seven thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 61 88 122 176 244 488 671 976 1342 2684 5368 10736 4133043529 8266087058 16532174116 33064348232 45463478819 66128696464 90926957638 181853915276 252115655269 363707830552 504231310538 727415661104 1008462621076 2016925242152 2773272207959 4033850484304 5546544415918 11093088831836 22186177663672 44372355327344