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424120027014 = 23231247521669
BaseRepresentation
bin1100010101111111000…
…01100000011110000110
31111112201122122200210200
412022333201200132012
523422044211331024
6522501004031330
742433042514325
oct6127741403606
91445648580720
10424120027014
11153960775722
126a244b32546
1330cc0770988
14167557240bc
15b0741e82c9
hex62bf860786

424120027014 has 72 divisors (see below), whose sum is σ = 969730276320. Its totient is φ = 133901742240.

The previous prime is 424120027013. The next prime is 424120027027. The reversal of 424120027014 is 410720021424.

424120027014 is a `hidden beast` number, since 424 + 1 + 200 + 27 + 0 + 14 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424120027013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 552172 + ... + 1073840.

It is an arithmetic number, because the mean of its divisors is an integer number (13468476060).

Almost surely, 2424120027014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424120027014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484865138160).

424120027014 is an abundant number, since it is smaller than the sum of its proper divisors (545610249306).

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

424120027014 is a wasteful number, since it uses less digits than its factorization.

424120027014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521786 (or 521752 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

Adding to 424120027014 its reverse (410720021424), we get a palindrome (834840048438).

The spelling of 424120027014 in words is "four hundred twenty-four billion, one hundred twenty million, twenty-seven thousand, fourteen".

Divisors: 1 2 3 6 9 18 31 47 62 93 94 141 186 279 282 423 558 846 961 1457 1922 2883 2914 4371 5766 8649 8742 13113 17298 26226 45167 90334 135501 271002 406503 521669 813006 1043338 1565007 3130014 4695021 9390042 16171739 24518443 32343478 48515217 49036886 73555329 97030434 145545651 147110658 220665987 291091302 441331974 501323909 760071733 1002647818 1503971727 1520143466 2280215199 3007943454 4511915181 4560430398 6840645597 9023830362 13681291194 23562223723 47124447446 70686671169 141373342338 212060013507 424120027014