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41111010344129 = 11414311359931319
BaseRepresentation
bin10010101100011111001110…
…01010101111110011000001
312101120011200222220012202112
421112033213022233303001
520342030322122003004
6223234045403425105
711442113106125645
oct1126174712576301
9171504628805675
1041111010344129
1112110099639620
12473b70a225195
1319c29a047c75b
14a21ad7d86c25
154b45d2101e6e
hex2563e72afcc1

41111010344129 has 64 divisors (see below), whose sum is σ = 47507378688000. Its totient is φ = 35238913382400.

The previous prime is 41111010344111. The next prime is 41111010344207. The reversal of 41111010344129 is 92144301011114.

It is a cyclic number.

It is not a de Polignac number, because 41111010344129 - 220 = 41111009295553 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 41111010344095 and 41111010344104.

It is not an unprimeable number, because it can be changed into a prime (41111010344029) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1312638332 + ... + 1312669650.

It is an arithmetic number, because the mean of its divisors is an integer number (742302792000).

Almost surely, 241111010344129 is an apocalyptic number.

It is an amenable number.

41111010344129 is a deficient number, since it is larger than the sum of its proper divisors (6396368343871).

41111010344129 is a wasteful number, since it uses less digits than its factorization.

41111010344129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32126.

The product of its (nonzero) digits is 3456, while the sum is 32.

The spelling of 41111010344129 in words is "forty-one trillion, one hundred eleven billion, ten million, three hundred forty-four thousand, one hundred twenty-nine".

Divisors: 1 11 41 43 113 451 473 599 1243 1763 4633 4859 6589 19393 24559 25757 31319 50963 53449 67687 199219 270149 283327 344509 744557 1056037 1284079 1346717 2191409 2775167 2910541 3539047 11616407 14124869 14813887 18760081 30526837 32015951 38929517 55215397 119332181 145100927 152179021 206360891 607369367 769163321 806683483 1312653991 1596110197 1673969231 2119889153 6239339861 8460796531 8873518313 23318780683 33074022803 68632738471 86915455273 91155233579 363814250833 956070008003 1002707569369 3737364576739 41111010344129