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40410004143444 = 223132512917353797
BaseRepresentation
bin10010011000000101011111…
…11100010011110101010100
312022002011021200001112011120
421030002233330103311110
520244034142030042234
6221540033304003540
711340345400544505
oct1114025774236524
9168064250045146
1040410004143444
111196a871941511
1246478907605b0
1319718547141c0
149d9bd719cbac
154a1254a41049
hex24c0aff13d54

40410004143444 has 96 divisors (see below), whose sum is σ = 101982879202176. Its totient is φ = 12380029632000.

The previous prime is 40410004143427. The next prime is 40410004143463. The reversal of 40410004143444 is 44434140001404.

40410004143444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×404100041434442 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 114041154 + ... + 114394950.

It is an arithmetic number, because the mean of its divisors is an integer number (1062321658356).

Almost surely, 240410004143444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40410004143444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50991439601088).

40410004143444 is an abundant number, since it is smaller than the sum of its proper divisors (61572875058732).

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

40410004143444 is a wasteful number, since it uses less digits than its factorization.

40410004143444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356985 (or 356983 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 40410004143444 its reverse (44434140001404), we get a palindrome (84844144144848).

The spelling of 40410004143444 in words is "forty trillion, four hundred ten billion, four million, one hundred forty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 251 502 753 1004 1506 2917 3012 3263 5834 6526 8751 9789 11668 13052 17502 19578 35004 37921 39156 75842 113763 151684 227526 353797 455052 707594 732167 1061391 1415188 1464334 2122782 2196501 2928668 4245564 4393002 4599361 8786004 9198722 9518171 13798083 18397444 19036342 27596166 28554513 38072684 55192332 57109026 88803047 114218052 177606094 266409141 355212188 532818282 1032025849 1065636564 1154439611 2064051698 2308879222 3096077547 3463318833 4128103396 4617758444 6192155094 6926637666 12384310188 13416336037 13853275332 26832672074 40249008111 53665344148 80498016222 160996032444 259038488099 518076976198 777115464297 1036153952396 1554230928594 3108461857188 3367500345287 6735000690574 10102501035861 13470001381148 20205002071722 40410004143444