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41190342317505 = 32519328116877933
BaseRepresentation
bin10010101110110010111111…
…01110001101010111000001
312101211202110210000000111200
421113121133232031113001
520344330310113130010
6223334325415131413
711450622036564033
oct1127313756152701
9171752423000450
1041190342317505
11121407a9454387
124752b6a373b69
1319ca30408b434
14a258a210bc53
154b66c6b16cc0
hex25765fb8d5c1

41190342317505 has 48 divisors (see below), whose sum is σ = 72021925035216. Its totient is φ = 21776582983680.

The previous prime is 41190342317503. The next prime is 41190342317521. The reversal of 41190342317505 is 50571324309114.

41190342317505 is a `hidden beast` number, since 4 + 1 + 1 + 90 + 3 + 42 + 3 + 17 + 505 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1977598125441 + 39212744192064 = 1406271^2 + 6262008^2 .

It is not a de Polignac number, because 41190342317505 - 21 = 41190342317503 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (41190342317503) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5998482 + ... + 10879451.

It is an arithmetic number, because the mean of its divisors is an integer number (1500456771567).

Almost surely, 241190342317505 is an apocalyptic number.

41190342317505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

41190342317505 is a deficient number, since it is larger than the sum of its proper divisors (30831582717711).

41190342317505 is a wasteful number, since it uses less digits than its factorization.

41190342317505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16878418 (or 16878415 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 41190342317505 in words is "forty-one trillion, one hundred ninety billion, three hundred forty-two million, three hundred seventeen thousand, five hundred five".

Divisors: 1 3 5 9 15 45 193 281 579 843 965 1405 1737 2529 2895 4215 8685 12645 54233 162699 271165 488097 813495 2440485 16877933 50633799 84389665 151901397 253168995 759506985 3257441069 4742699173 9772323207 14228097519 16287205345 23713495865 29316969621 42684292557 48861616035 71140487595 146584848105 213421462785 915340940389 2746022821167 4576704701945 8238068463501 13730114105835 41190342317505