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434240105242005 = 34546317231344029
BaseRepresentation
bin110001010111100000110011…
…1001110000101110110010101
32002221111221121120000122110000
41202233001213032011312111
5423404042213420221010
64135315052252521513
7160315545421246536
oct14257014716056625
92087457546018400
10434240105242005
111163a921587a417
1240852784780299
131583b8878b490a
14793349457a68d
1535308ad1ab7c0
hex18af067385d95

434240105242005 has 80 divisors (see below), whose sum is σ = 780550174990080. Its totient is φ = 230960223027072.

The previous prime is 434240105242003. The next prime is 434240105242063. The reversal of 434240105242005 is 500242501042434.

434240105242005 is a `hidden beast` number, since 4 + 3 + 4 + 2 + 401 + 0 + 5 + 242 + 0 + 0 + 5 = 666.

It is not a de Polignac number, because 434240105242005 - 21 = 434240105242003 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434240105242003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 322416331 + ... + 323760359.

It is an arithmetic number, because the mean of its divisors is an integer number (9756877187376).

Almost surely, 2434240105242005 is an apocalyptic number.

434240105242005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

434240105242005 is a deficient number, since it is larger than the sum of its proper divisors (346310069748075).

434240105242005 is a wasteful number, since it uses less digits than its factorization.

434240105242005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346232 (or 1346223 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 434240105242005 its reverse (500242501042434), we get a palindrome (934482606284439).

The spelling of 434240105242005 in words is "four hundred thirty-four trillion, two hundred forty billion, one hundred five million, two hundred forty-two thousand, five".

Divisors: 1 3 5 9 15 27 45 81 135 405 463 1389 1723 2315 4167 5169 6945 8615 12501 15507 20835 25845 37503 46521 62505 77535 139563 187515 232605 697815 797749 1344029 2393247 3988745 4032087 6720145 7179741 11966235 12096261 20160435 21539223 35898705 36288783 60481305 64617669 107696115 108866349 181443915 323088345 544331745 622285427 1866856281 2315761967 3111427135 5600568843 6947285901 9334281405 11578809835 16801706529 20841857703 28002844215 34736429505 50405119587 62525573109 84008532645 104209288515 187576719327 252025597935 312627865545 937883596635 1072197790721 3216593372163 5360988953605 9649780116489 16082966860815 28949340349467 48248900582445 86848021048401 144746701747335 434240105242005