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414214244414431 = 3312328535374217
BaseRepresentation
bin101111000101110011100010…
…0111001100011001111011111
32000022121111100212211222112121
41132023213010321203033133
5413242441233032230211
64024543221423243411
7153150664054635106
oct13613470471431737
92008544325758477
10414214244414431
1110aa8830247990a
123a5595b4449567
1314a1830a937c56
14744010d8d503d
1532d49e2cb3271
hex178b9c4e633df

414214244414431 has 8 divisors (see below), whose sum is σ = 415467508513104. Its totient is φ = 412960991530560.

The previous prime is 414214244414393. The next prime is 414214244414459. The reversal of 414214244414431 is 134414442412414.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 414214244414431 - 29 = 414214244413919 is a prime.

It is a super-2 number, since 2×4142142444144312 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414214247414431) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 74387235 + ... + 79761451.

It is an arithmetic number, because the mean of its divisors is an integer number (51933438564138).

Almost surely, 2414214244414431 is an apocalyptic number.

414214244414431 is a deficient number, since it is larger than the sum of its proper divisors (1253264098673).

414214244414431 is a wasteful number, since it uses less digits than its factorization.

414214244414431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5607401.

The product of its digits is 786432, while the sum is 43.

Adding to 414214244414431 its reverse (134414442412414), we get a palindrome (548628686826845).

The spelling of 414214244414431 in words is "four hundred fourteen trillion, two hundred fourteen billion, two hundred forty-four million, four hundred fourteen thousand, four hundred thirty-one".

Divisors: 1 331 232853 5374217 77074343 1778865827 1251402551101 414214244414431