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41001420211011 = 321323115313214657
BaseRepresentation
bin10010101001010011000110…
…00101100100001101000011
312101011200211110201122001100
421110221203011210031003
520333231402033223021
6223111443054505443
711431153262303451
oct1124514305441503
9171150743648040
1041001420211011
1112078671893577
124722424805283
1319b5556b6a240
14a1a69d3b59d1
154b181aebb626
hex254a63164343

41001420211011 has 48 divisors (see below), whose sum is σ = 66610756570176. Its totient is φ = 24113681399808.

The previous prime is 41001420210997. The next prime is 41001420211027. The reversal of 41001420211011 is 11011202410014.

41001420211011 is a `hidden beast` number, since 410 + 0 + 1 + 42 + 0 + 211 + 0 + 1 + 1 = 666.

It is not a de Polignac number, because 41001420211011 - 25 = 41001420210979 is a prime.

It is a super-2 number, since 2×410014202110112 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (41001420211091) 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 47 ways as a sum of consecutive naturals, for example, 3504606 + ... + 9710051.

It is an arithmetic number, because the mean of its divisors is an integer number (1387724095212).

Almost surely, 241001420211011 is an apocalyptic number.

41001420211011 is a deficient number, since it is larger than the sum of its proper divisors (25609336359165).

41001420211011 is a wasteful number, since it uses less digits than its factorization.

41001420211011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13215852 (or 13215849 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 41001420211011 its reverse (11011202410014), we get a palindrome (52012622621025).

The spelling of 41001420211011 in words is "forty-one trillion, one billion, four hundred twenty million, two hundred eleven thousand, eleven".

Divisors: 1 3 9 13 23 39 69 117 207 299 897 1153 2691 3459 10377 14989 26519 44967 79557 134901 238671 344747 1034241 3102723 13214657 39643971 118931913 171790541 303937111 515371623 911811333 1546114869 2735433999 3951182443 11853547329 15236499521 35560641987 45709498563 137128495689 198074493773 350439488983 594223481319 1051318466949 1782670443957 3153955400847 4555713356779 13667140070337 41001420211011