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414343312292 = 227131138305803
BaseRepresentation
bin1100000011110001100…
…10010011001110100100
31110121111022001010111102
412001320302103032210
523242033341443132
6514202515055232
741635546021010
oct6017062231644
91417438033442
10414343312292
1114a7a3aa81a8
12683768a1518
13300c3101390
14160a90c5540
15aba0c43c62
hex6078c933a4

414343312292 has 24 divisors (see below), whose sum is σ = 892431750336. Its totient is φ = 163916035488.

The previous prime is 414343312291. The next prime is 414343312297. The reversal of 414343312292 is 292213343414.

It is a super-2 number, since 2×4143433122922 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (414343312291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 569152538 + ... + 569153265.

It is an arithmetic number, because the mean of its divisors is an integer number (37184656264).

Almost surely, 2414343312292 is an apocalyptic number.

It is an amenable number.

414343312292 is an abundant number, since it is smaller than the sum of its proper divisors (478088438044).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

414343312292 is a wasteful number, since it uses less digits than its factorization.

414343312292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138305827 (or 1138305825 counting only the distinct ones).

The product of its digits is 124416, while the sum is 38.

The spelling of 414343312292 in words is "four hundred fourteen billion, three hundred forty-three million, three hundred twelve thousand, two hundred ninety-two".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 364 1138305803 2276611606 4553223212 7968140621 14797975439 15936281242 29595950878 31872562484 59191901756 103585828073 207171656146 414343312292