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40044122424441 = 32109174123446121
BaseRepresentation
bin10010001101011011111111…
…01100010100010001111001
312020210011212202001102000200
421012231333230110101321
520222040330320040231
6221100003232552413
711302043453340462
oct1106557754242171
9166704782042020
1040044122424441
1111839687184663
1245a899b6b2709
1319461b5734015
149c6208387d69
1549698d5acbe6
hex246b7fb14479

40044122424441 has 24 divisors (see below), whose sum is σ = 58405696669320. Its totient is φ = 26435969222400.

The previous prime is 40044122424413. The next prime is 40044122424463. The reversal of 40044122424441 is 14442422144004.

40044122424441 is a `hidden beast` number, since 400 + 4 + 4 + 1 + 2 + 2 + 4 + 244 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10156406841 + 40033966017600 = 100779^2 + 6327240^2 .

It is not a de Polignac number, because 40044122424441 - 242 = 35646075913337 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 40044122424396 and 40044122424405.

It is not an unprimeable number, because it can be changed into a prime (40044122425441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10015140 + ... + 13430981.

It is an arithmetic number, because the mean of its divisors is an integer number (2433570694555).

Almost surely, 240044122424441 is an apocalyptic number.

It is an amenable number.

40044122424441 is a deficient number, since it is larger than the sum of its proper divisors (18361574244879).

40044122424441 is a wasteful number, since it uses less digits than its factorization.

40044122424441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23447977 (or 23447974 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

Adding to 40044122424441 its reverse (14442422144004), we get a palindrome (54486544568445).

The spelling of 40044122424441 in words is "forty trillion, forty-four billion, one hundred twenty-two million, four hundred twenty-four thousand, four hundred forty-one".

Divisors: 1 3 9 109 327 981 1741 5223 15669 189769 569307 1707921 23446121 70338363 211015089 2555627189 7666881567 23000644701 40819696661 122459089983 367377269949 4449346936049 13348040808147 40044122424441