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414143411125 = 53173153118619
BaseRepresentation
bin1100000011011001101…
…11101111001110110101
31110120222100220002122111
412001230313233032311
523241131203124000
6514131014331021
741630600624533
oct6015467571665
91416870802574
10414143411125
1114a701182524
126831b959a71
1330090880072
141608a72b153
15ab8d408cba
hex606cdef3b5

414143411125 has 64 divisors (see below), whose sum is σ = 575570810880. Its totient is φ = 296070528000.

The previous prime is 414143411089. The next prime is 414143411177. The reversal of 414143411125 is 521114341414.

It is not a de Polignac number, because 414143411125 - 223 = 414135022517 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3432066 + ... + 3550684.

It is an arithmetic number, because the mean of its divisors is an integer number (8993293920).

Almost surely, 2414143411125 is an apocalyptic number.

It is an amenable number.

414143411125 is a deficient number, since it is larger than the sum of its proper divisors (161427399755).

414143411125 is a wasteful number, since it uses less digits than its factorization.

414143411125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118735 (or 118725 counting only the distinct ones).

The product of its digits is 7680, while the sum is 31.

Adding to 414143411125 its reverse (521114341414), we get a palindrome (935257752539).

The spelling of 414143411125 in words is "four hundred fourteen billion, one hundred forty-three million, four hundred eleven thousand, one hundred twenty-five".

Divisors: 1 5 17 25 31 53 85 125 155 265 425 527 775 901 1325 1643 2125 2635 3875 4505 6625 8215 13175 22525 27931 41075 65875 112625 118619 139655 205375 593095 698275 2016523 2965475 3491375 3677189 6286807 10082615 14827375 18385945 31434035 50413075 62512213 91929725 106875719 157170175 194891017 252065375 312561065 459648625 534378595 785850875 974455085 1562805325 2671892975 3313147289 4872275425 7814026625 13359464875 16565736445 24361377125 82828682225 414143411125