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41005454325 = 35211472634021
BaseRepresentation
bin100110001100000111…
…011001001111110101
310220211201222220112120
4212030013121033311
51132434344014300
630500533110153
72651103416343
oct461407311765
9126751886476
1041005454325
1116432567830
127b44788359
133b3647c254
141dadd38993
1510eede43a0
hex98c1d93f5

41005454325 has 96 divisors (see below), whose sum is σ = 75838574592. Its totient is φ = 19379616000.

The previous prime is 41005454323. The next prime is 41005454339. The reversal of 41005454325 is 52345450014.

It is not a de Polignac number, because 41005454325 - 21 = 41005454323 is a prime.

It is a super-2 number, since 2×410054543252 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41005454323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10195815 + ... + 10199835.

It is an arithmetic number, because the mean of its divisors is an integer number (789985152).

Almost surely, 241005454325 is an apocalyptic number.

It is an amenable number.

41005454325 is a deficient number, since it is larger than the sum of its proper divisors (34833120267).

41005454325 is a wasteful number, since it uses less digits than its factorization.

41005454325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4355 (or 4350 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

The spelling of 41005454325 in words is "forty-one billion, five million, four hundred fifty-four thousand, three hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 47 55 75 141 165 235 263 275 517 705 789 825 1175 1315 1551 2585 2893 3525 3945 4021 6575 7755 8679 12063 12361 12925 14465 19725 20105 37083 38775 43395 44231 60315 61805 72325 100525 132693 135971 185415 188987 216975 221155 301575 309025 407913 566961 663465 679855 927075 944935 1057523 1105775 2039565 2078857 2834805 3172569 3317325 3399275 4724675 5287615 6236571 10197825 10394285 11632753 14174025 15862845 26438075 31182855 34898259 49703581 51971425 58163765 79314225 149110743 155914275 174491295 248517905 290818825 546739391 745553715 872456475 1242589525 1640218173 2733696955 3727768575 8201090865 13668484775 41005454325