Search a number
-
+
44901064441431 = 32114992543935729
BaseRepresentation
bin10100011010110010101111…
…11111101111111001010111
312212222111111101100000121200
422031121113333233321113
521341124334444111211
6235255133024243543
712312665143324152
oct1215312777577127
9185874441300550
1044901064441431
11133414863440a0
1250521637705b3
131c091c952cba3
14b1331a324c99
1552cea68b3b56
hex28d657fefe57

44901064441431 has 48 divisors (see below), whose sum is σ = 70899753600000. Its totient is φ = 27156404056320.

The previous prime is 44901064441399. The next prime is 44901064441477. The reversal of 44901064441431 is 13414446010944.

44901064441431 is a `hidden beast` number, since 4 + 4 + 90 + 106 + 44 + 414 + 3 + 1 = 666.

It is not a de Polignac number, because 44901064441431 - 25 = 44901064441399 is a prime.

It is a super-2 number, since 2×449010644414312 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44901064440431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1256694175 + ... + 1256729903.

It is an arithmetic number, because the mean of its divisors is an integer number (1477078200000).

Almost surely, 244901064441431 is an apocalyptic number.

44901064441431 is a deficient number, since it is larger than the sum of its proper divisors (25998689158569).

44901064441431 is a wasteful number, since it uses less digits than its factorization.

44901064441431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61684 (or 61681 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 44901064441431 in words is "forty-four trillion, nine hundred one billion, sixty-four million, four hundred forty-one thousand, four hundred thirty-one".

Divisors: 1 3 9 11 33 99 499 1497 4491 5489 16467 25439 35729 49401 76317 107187 228951 279829 321561 393019 839487 1179057 2518461 3537171 12694061 17828771 38082183 53486313 114246549 139634671 160458939 196116481 418904013 588349443 908910031 1256712039 1765048329 2726730093 8180190279 9998010341 29994031023 89982093069 453546105469 1360638316407 4081914949221 4989007160159 14967021480477 44901064441431