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434203224100422 = 237173196429304223
BaseRepresentation
bin110001010111001111101000…
…0111011101100111001000110
32002221101102102020122112101020
41202232133100323230321012
5423402441200332203142
64135250112450012010
7160313101444566450
oct14256372073547106
92087342366575336
10434203224100422
1111639460a393917
12408475b1277006
131583825aa3100a
1479317962b52d0
15352e9503e5cec
hex18ae7d0eece46

434203224100422 has 64 divisors (see below), whose sum is σ = 998209664225280. Its totient is φ = 123339932049024.

The previous prime is 434203224100339. The next prime is 434203224100423. The reversal of 434203224100422 is 224001422302434.

It is a happy number.

It is a super-4 number, since 4×4342032241004224 (a number of 60 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434203224100423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1427101003 + ... + 1427405225.

It is an arithmetic number, because the mean of its divisors is an integer number (15597026003520).

Almost surely, 2434203224100422 is an apocalyptic number.

434203224100422 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

434203224100422 is an abundant number, since it is smaller than the sum of its proper divisors (564006440124858).

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

434203224100422 is a wasteful number, since it uses less digits than its factorization.

434203224100422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500837.

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 434203224100422 its reverse (224001422302434), we get a palindrome (658204646402856).

The spelling of 434203224100422 in words is "four hundred thirty-four trillion, two hundred three billion, two hundred twenty-four million, one hundred thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 173 346 519 1038 1211 2422 3633 7266 196429 304223 392858 589287 608446 912669 1178574 1375003 1825338 2129561 2750006 4125009 4259122 6388683 8250018 12777366 33982217 52630579 67964434 101946651 105261158 157891737 203893302 237875519 315783474 368414053 475751038 713626557 736828106 1105242159 1427253114 2210484318 59758219667 119516439334 179274659001 358549318002 418307537669 836615075338 1254922613007 2509845226014 10338172002391 20676344004782 31014516007173 62029032014346 72367204016737 144734408033474 217101612050211 434203224100422