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503242532352342 = 23431409924446839
BaseRepresentation
bin111001001101100100100100…
…0011000000111000101010110
32102222211111221100020222020000
41302123021020120013011112
51011430111201240233332
64542150232223152130
7211000034041252146
oct16233111030070526
92388744840228200
10503242532352342
11136391a61009562
1248537935a45646
13187a574b111343
148c3b0d6074926
153d2a75e569b7c
hex1c9b248607156

503242532352342 has 80 divisors (see below), whose sum is σ = 1164295423104000. Its totient is φ = 162296690240880.

The previous prime is 503242532352269. The next prime is 503242532352433. The reversal of 503242532352342 is 243253235242305.

503242532352342 is a `hidden beast` number, since 5 + 0 + 3 + 2 + 4 + 253 + 2 + 3 + 52 + 342 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8361759 + ... + 32808597.

It is an arithmetic number, because the mean of its divisors is an integer number (14553692788800).

Almost surely, 2503242532352342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 503242532352342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582147711552000).

503242532352342 is an abundant number, since it is smaller than the sum of its proper divisors (661052890751658).

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

503242532352342 is a wasteful number, since it uses less digits than its factorization.

503242532352342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24450983 (or 24450974 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 45.

Adding to 503242532352342 its reverse (243253235242305), we get a palindrome (746495767594647).

The spelling of 503242532352342 in words is "five hundred three trillion, two hundred forty-two billion, five hundred thirty-two million, three hundred fifty-two thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 162 186 279 558 837 1674 2511 4099 5022 8198 12297 24594 36891 73782 110673 127069 221346 254138 332019 381207 664038 762414 1143621 2287242 3430863 6861726 10292589 20585178 24446839 48893678 73340517 146681034 220021551 440043102 660064653 757852009 1320129306 1515704018 1980193959 2273556027 3960387918 4547112054 6820668081 13641336162 20462004243 40924008486 61386012729 100207593061 122772025458 200415186122 300622779183 601245558366 901868337549 1803736675098 2705605012647 3106435384891 5411210025294 6212870769782 8116815037941 9319306154673 16233630075882 18638612309346 27957918464019 55915836928038 83873755392057 167747510784114 251621266176171 503242532352342