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406242112044325 = 52435961105001289
BaseRepresentation
bin101110001011110011001110…
…0110001111111110100100101
31222021101100220021022212011211
41130113212130301333310211
5411221332321140404300
64000001014435231421
7151366011146601124
oct13427463461776445
91867340807285154
10406242112044325
111084943485a2467
1239690539448571
131458a60b6c632b
14724631a3c9abb
1531e74526684ba
hex171799cc7fd25

406242112044325 has 48 divisors (see below), whose sum is σ = 532784945563200. Its totient is φ = 306939765081600.

The previous prime is 406242112044229. The next prime is 406242112044331. The reversal of 406242112044325 is 523440211242604.

It is not a de Polignac number, because 406242112044325 - 245 = 371057739955493 is a prime.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 48631720 + ... + 56369569.

It is an arithmetic number, because the mean of its divisors is an integer number (11099686365900).

Almost surely, 2406242112044325 is an apocalyptic number.

It is an amenable number.

406242112044325 is a deficient number, since it is larger than the sum of its proper divisors (126542833518875).

406242112044325 is a wasteful number, since it uses less digits than its factorization.

406242112044325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105001462 (or 105001457 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 40.

Adding to 406242112044325 its reverse (523440211242604), we get a palindrome (929682323286929).

The spelling of 406242112044325 in words is "four hundred six trillion, two hundred forty-two billion, one hundred twelve million, forty-four thousand, three hundred twenty-five".

Divisors: 1 5 25 43 59 61 215 295 305 1075 1475 1525 2537 2623 3599 12685 13115 17995 63425 65575 89975 154757 773785 3868925 105001289 525006445 2625032225 4515055427 6195076051 6405078629 22575277135 30975380255 32025393145 112876385675 154876901275 160126965725 266388270193 275418381047 377899639111 1331941350965 1377091905235 1889498195555 6659706754825 6885459526175 9447490977775 16249684481773 81248422408865 406242112044325