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41362204129 = 29270132
BaseRepresentation
bin100110100001011000…
…010010010111100001
310221202121021200021021
4212201120102113201
51134202211013004
631000155325441
72662664635261
oct464130222741
9127677250237
1041362204129
11165a5982184
128024150881
133b923597cc
1420054817a1
1511213b2d54
hex9a16125e1

41362204129 has 9 divisors (see below), whose sum is σ = 42843778393. Its totient is φ = 39930226672.

The previous prime is 41362204099. The next prime is 41362204171. The reversal of 41362204129 is 92140226314.

The square root of 41362204129 is 203377.

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

It can be written as a sum of positive squares in 4 ways, for example, as 6300390625 + 35061813504 = 79375^2 + 187248^2 .

It is not a de Polignac number, because 41362204129 - 27 = 41362204001 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 41362204094 and 41362204103.

It is not an unprimeable number, because it can be changed into a prime (41362204529) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5894427 + ... + 5901439.

Almost surely, 241362204129 is an apocalyptic number.

41362204129 is the 203377-th square number.

41362204129 is the 101689-th centered octagonal number.

It is an amenable number.

41362204129 is a deficient number, since it is larger than the sum of its proper divisors (1481574264).

41362204129 is an frugal number, since it uses more digits than its factorization.

41362204129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14084 (or 7042 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

Multiplying 41362204129 by its product of nonzero digits (20736), we get a square (857686664818944 = 292862882).

The spelling of 41362204129 in words is "forty-one billion, three hundred sixty-two million, two hundred four thousand, one hundred twenty-nine".

Divisors: 1 29 841 7013 203377 5897933 49182169 1426282901 41362204129