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542410442013 = 311176714996851
BaseRepresentation
bin1111110010010100010…
…11101000010100011101
31220212001111221101120010
413321022023220110131
532341324033121023
61053102510113433
754121302454026
oct7711213502435
91825044841503
10542410442013
1119a042610280
12891581ab879
133c1c2703a8b
141c3779abc4d
15e199055093
hex7e4a2e851d

542410442013 has 64 divisors (see below), whose sum is σ = 853537305600. Its totient is φ = 302729856000.

The previous prime is 542410442011. The next prime is 542410442029. The reversal of 542410442013 is 310244014245.

It is not a de Polignac number, because 542410442013 - 21 = 542410442011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542410442011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5552038 + ... + 5648888.

It is an arithmetic number, because the mean of its divisors is an integer number (13336520400).

Almost surely, 2542410442013 is an apocalyptic number.

It is an amenable number.

542410442013 is a deficient number, since it is larger than the sum of its proper divisors (311126863587).

542410442013 is a wasteful number, since it uses less digits than its factorization.

542410442013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97098.

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 542410442013 its reverse (310244014245), we get a palindrome (852654456258).

The spelling of 542410442013 in words is "five hundred forty-two billion, four hundred ten million, four hundred forty-two thousand, thirteen".

Divisors: 1 3 11 17 33 51 67 149 187 201 447 561 737 1139 1639 2211 2533 3417 4917 7599 9983 12529 27863 29949 37587 83589 96851 109813 169711 290553 329439 509133 1065361 1646467 1866821 3196083 4939401 5600463 6489017 14430799 18111137 19467051 43292397 54333411 71379187 110313289 158738789 214137561 245323583 330939867 476216367 735970749 966863533 1213446179 2698559413 2900590599 3640338537 8095678239 10635498863 16436680061 31906496589 49310040183 180803480671 542410442013