Search a number
-
+
542300003245 = 572111315478807
BaseRepresentation
bin1111110010000111001…
…10010101101110101101
31220211202211010112001101
413321003212111232231
532341112300100440
61053043523043101
754115461654100
oct7710346255655
91824684115041
10542300003245
11199a96239a70
1289127210491
133c1a5876ab0
141c367060737
15e18e4dc69a
hex7e43995bad

542300003245 has 48 divisors (see below), whose sum is σ = 889350392448. Its totient is φ = 312052728960.

The previous prime is 542300003243. The next prime is 542300003381.

542300003245 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 542300003245 - 21 = 542300003243 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542300003243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7704369 + ... + 7774438.

It is an arithmetic number, because the mean of its divisors is an integer number (18528133176).

Almost surely, 2542300003245 is an apocalyptic number.

542300003245 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

542300003245 is a deficient number, since it is larger than the sum of its proper divisors (347050389203).

542300003245 is a wasteful number, since it uses less digits than its factorization.

542300003245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15478850 (or 15478843 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 28.

It can be divided in two parts, 54230000 and 3245, that added together give a palindrome (54233245).

The spelling of 542300003245 in words is "five hundred forty-two billion, three hundred million, three thousand, two hundred forty-five".

Divisors: 1 5 7 11 13 35 49 55 65 77 91 143 245 385 455 539 637 715 1001 2695 3185 5005 7007 35035 15478807 77394035 108351649 170266877 201224491 541758245 758461543 851334385 1006122455 1191868139 1408571437 2213469401 3792307715 5959340695 7042857185 8343076973 9860000059 11067347005 15494285807 41715384865 49300000295 77471429035 108460000649 542300003245