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41782232144 = 247093683201
BaseRepresentation
bin100110111010011010…
…100100010001010000
310222211212122022101102
4212322122210101100
51141032222412034
631110002123532
73006255053612
oct467232442120
9128755568342
1041782232144
11167a0a87474
1281209505a8
133c2b3911b3
14204517adb2
1511481d097e
hex9ba6a4450

41782232144 has 20 divisors (see below), whose sum is σ = 81067276020. Its totient is φ = 20861644800.

The previous prime is 41782232123. The next prime is 41782232213. The reversal of 41782232144 is 44123228714.

It can be written as a sum of positive squares in 2 ways, for example, as 8351766544 + 33430465600 = 91388^2 + 182840^2 .

It is a junction number, because it is equal to n+sod(n) for n = 41782232098 and 41782232107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1830257 + ... + 1852944.

It is an arithmetic number, because the mean of its divisors is an integer number (4053363801).

Almost surely, 241782232144 is an apocalyptic number.

It is an amenable number.

41782232144 is a deficient number, since it is larger than the sum of its proper divisors (39285043876).

41782232144 is a wasteful number, since it uses less digits than its factorization.

41782232144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3683918 (or 3683912 counting only the distinct ones).

The product of its digits is 86016, while the sum is 38.

It can be divided in two parts, 4178 and 2232144, that added together give a palindrome (2236322).

The spelling of 41782232144 in words is "forty-one billion, seven hundred eighty-two million, two hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 709 1418 2836 5672 11344 3683201 7366402 14732804 29465608 58931216 2611389509 5222779018 10445558036 20891116072 41782232144