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41400440444340 = 22325376216282349
BaseRepresentation
bin10010110100111010010101…
…00010111101010110110100
312102120211202212200200211200
421122131022202331112310
520411301100223204330
6224015033315132500
711502040336314045
oct1132351242752664
9172524685620750
1041400440444340
111221191236174a
1247878238a4130
131a14077503a93
14a31b133b68cc
154bbdc187da60
hex25a74a8bd5b4

41400440444340 has 72 divisors (see below), whose sum is σ = 128975426197800. Its totient is φ = 10741735897344.

The previous prime is 41400440444339. The next prime is 41400440444353. The reversal of 41400440444340 is 4344404400414.

41400440444340 is a `hidden beast` number, since 4 + 140 + 0 + 4 + 40 + 44 + 434 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12107643996816 + 29292796447524 = 3479604^2 + 5412282^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 41400440444295 and 41400440444304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3108134515 + ... + 3108147834.

Almost surely, 241400440444340 is an apocalyptic number.

It is an amenable number.

41400440444340 is an abundant number, since it is smaller than the sum of its proper divisors (87574985753460).

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

41400440444340 is a wasteful number, since it uses less digits than its factorization.

41400440444340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6216282401 (or 6216282396 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 41400440444340 its reverse (4344404400414), we get a palindrome (45744844844754).

The spelling of 41400440444340 in words is "forty-one trillion, four hundred billion, four hundred forty million, four hundred forty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 6216282349 12432564698 18648847047 24865129396 31081411745 37297694094 55946541141 62162823490 74595388188 93244235235 111893082282 124325646980 186488470470 223786164564 230002446913 279732705705 372976940940 460004893826 559465411410 690007340739 920009787652 1118930822820 1150012234565 1380014681478 2070022022217 2300024469130 2760029362956 3450036703695 4140044044434 4600048938260 6900073407390 8280088088868 10350110111085 13800146814780 20700220222170 41400440444340