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41025365441011 = 7253971518291301
BaseRepresentation
bin10010101001111111101100…
…10101010111100111110011
312101020222122020220100102201
421110333312111113213303
520334124422023103021
6223130443120124031
711432661541351600
oct1124776625274763
9171228566810381
1041025365441011
111208783a298256
124726ba7a66617
1319b78a19caca3
14a1b8d16356a7
154b226d28e591
hex254ff65579f3

41025365441011 has 96 divisors (see below), whose sum is σ = 49548139966080. Its totient is φ = 33852349440000.

The previous prime is 41025365441009. The next prime is 41025365441029. The reversal of 41025365441011 is 11014456352014.

It is not a de Polignac number, because 41025365441011 - 21 = 41025365441009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (41025365421011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31533716061 + ... + 31533717361.

It is an arithmetic number, because the mean of its divisors is an integer number (516126457980).

Almost surely, 241025365441011 is an apocalyptic number.

41025365441011 is a deficient number, since it is larger than the sum of its proper divisors (8522774525069).

41025365441011 is a wasteful number, since it uses less digits than its factorization.

41025365441011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2445 (or 2438 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The spelling of 41025365441011 in words is "forty-one trillion, twenty-five billion, three hundred sixty-five million, four hundred forty-one thousand, eleven".

Divisors: 1 7 49 53 97 151 371 679 829 1057 1301 2597 4753 5141 5803 7399 8003 9107 14647 35987 40621 43937 56021 63749 68953 80413 102529 125179 126197 196451 251909 307559 392147 482671 562891 717703 776291 876253 883379 1078529 1375157 2152913 3378697 3940237 4261889 5434037 6133771 6183653 6634487 6688441 7549703 9626099 10411903 12142363 19055747 29833223 38038259 46441409 46819087 52847921 57162037 72883321 84996541 104617313 133390229 162857879 208832561 325089863 327733609 400134259 510183247 594975787 643545239 732321191 933731603 1009954591 1140005153 2800939813 4504816673 5126248337 5544717589 7069682137 7980036071 8631467587 15797214263 31533716711 38813023123 49487774959 60420273109 110580499841 271691161861 422941911763 774063498887 837252355939 5860766491573 41025365441011