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42811346269444 = 2229297211632
BaseRepresentation
bin10011011101111110010110…
…00101100011010100000100
312121120201120022220210212211
421232333023011203110010
521102410114121110234
6231015132211353204
712006006033045424
oct1156771305432404
9177521508823784
1042811346269444
111270620a974835
1249751612b2804
131ab7128680cac
14a8011a17a484
154e394c179164
hex26efcb163504

42811346269444 has 81 divisors (see below), whose sum is σ = 78468021930207. Its totient is φ = 20436891299328.

The previous prime is 42811346269421. The next prime is 42811346269457. The reversal of 42811346269444 is 44496264311824.

The square root of 42811346269444 is 6543038.

It is a perfect power (a square), and thus also a powerful number.

42811346269444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 30432802500 + 42780913466944 = 174450^2 + 6540712^2 .

It is a super-2 number, since 2×428113462694442 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 36811131207 + ... + 36811132369.

Almost surely, 242811346269444 is an apocalyptic number.

42811346269444 is the 6543038-th square number.

It is an amenable number.

42811346269444 is a deficient number, since it is larger than the sum of its proper divisors (35656675660763).

42811346269444 is an frugal number, since it uses more digits than its factorization.

42811346269444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2582 (or 1291 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 58.

The spelling of 42811346269444 in words is "forty-two trillion, eight hundred eleven billion, three hundred forty-six million, two hundred sixty-nine thousand, four hundred forty-four".

Divisors: 1 2 4 29 58 97 116 194 388 841 1163 1682 2326 2813 3364 4652 5626 9409 11252 18818 33727 37636 67454 81577 112811 134908 163154 225622 272861 326308 451244 545722 978083 1091444 1352569 1956166 2705138 3271519 3912332 5410276 6543038 7912969 10942667 13086076 15825938 21885334 31651876 39224501 43770668 78449002 94874051 131199193 156898004 189748102 262398386 317337343 379496204 524796772 634674686 1137510529 1269349372 2275021058 3804776597 4550042116 7609553194 9202782947 12726321721 15219106388 18405565894 25452643442 36811131788 50905286884 110338521313 220677042626 369063329909 441354085252 738126659818 1476253319636 10702836567361 21405673134722 42811346269444