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44442423201 = 31137794311069
BaseRepresentation
bin101001011000111110…
…011000111110100001
311020201021021000111010
4221120332120332201
51212004230020301
632225551211133
73132216235641
oct513076307641
9136637230433
1044442423201
1117936653380
128743816aa9
13426354a047
1422185aa521
151251a005d6
hexa58f98fa1

44442423201 has 64 divisors (see below), whose sum is σ = 67450060800. Its totient is φ = 25790918400.

The previous prime is 44442423191. The next prime is 44442423227. The reversal of 44442423201 is 10232424444.

It is not a de Polignac number, because 44442423201 - 234 = 27262554017 is a prime.

It is a super-3 number, since 3×444424232013 (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (44442423241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41573295 + ... + 41574363.

It is an arithmetic number, because the mean of its divisors is an integer number (1053907200).

Almost surely, 244442423201 is an apocalyptic number.

It is an amenable number.

44442423201 is a deficient number, since it is larger than the sum of its proper divisors (23007637599).

44442423201 is a wasteful number, since it uses less digits than its factorization.

44442423201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630.

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 44442423201 its reverse (10232424444), we get a palindrome (54674847645).

The spelling of 44442423201 in words is "forty-four billion, four hundred forty-two million, four hundred twenty-three thousand, two hundred one".

Divisors: 1 3 11 33 37 79 111 237 407 431 869 1069 1221 1293 2607 2923 3207 4741 8769 11759 14223 15947 32153 34049 35277 39553 47841 84451 96459 102147 118659 175417 253353 374539 435083 460739 526251 928961 1123617 1259813 1305249 1382217 2786883 3124687 3779439 5068129 9374061 13857943 15204387 17047343 34371557 36398381 41573829 51142029 103114671 109195143 187520773 400382191 562562319 1201146573 1346740097 4040220291 14814141067 44442423201