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41025500145 = 3257231815849
BaseRepresentation
bin100110001101010011…
…110111001111110001
310220220010201100020100
4212031103313033301
51133010012001040
630502530503013
72651435666100
oct461523671761
9126803640210
1041025500145
1116442909523
127b4b434a69
133b3a67a496
141db2876037
151101a53b30
hex98d4f73f1

41025500145 has 72 divisors (see below), whose sum is σ = 82760956200. Its totient is φ = 18745413120.

The previous prime is 41025500141. The next prime is 41025500149. The reversal of 41025500145 is 54100552014.

41025500145 is a `hidden beast` number, since 4 + 10 + 2 + 5 + 500 + 145 = 666.

It is an interprime number because it is at equal distance from previous prime (41025500141) and next prime (41025500149).

It can be written as a sum of positive squares in 4 ways, for example, as 9529569 + 41015970576 = 3087^2 + 202524^2 .

It is not a de Polignac number, because 41025500145 - 22 = 41025500141 is a prime.

It is not an unprimeable number, because it can be changed into a prime (41025500141) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7011181 + ... + 7017029.

It is an arithmetic number, because the mean of its divisors is an integer number (1149457725).

Almost surely, 241025500145 is an apocalyptic number.

41025500145 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

41025500145 is an abundant number, since it is smaller than the sum of its proper divisors (41735456055).

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

41025500145 is a wasteful number, since it uses less digits than its factorization.

41025500145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9055 (or 9045 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 41025500145 in words is "forty-one billion, twenty-five million, five hundred thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 2205 3181 5849 9543 15905 17547 22267 28629 29245 40943 47715 52641 66801 87735 111335 122829 143145 155869 200403 204715 263205 286601 334005 368487 467607 614145 779345 859803 1002015 1402821 1433005 1842435 2338035 2579409 4299015 7014105 12897045 18605669 55817007 93028345 130239683 167451021 279085035 390719049 651198415 837255105 911677781 1172157147 1953595245 2735033343 4558388905 5860785735 8205100029 13675166715 41025500145