Search a number
-
+
534123321435 = 3251122319972423
BaseRepresentation
bin1111100010111000011…
…10110001100001011011
31220001122222021001021100
413301130032301201123
532222341032241220
61045212312242443
753406034215444
oct7613416614133
91801588231240
10534123321435
1119657a7659a0
12876249a0423
133b4a1852232
141bbcd1242cb
15dd61741d90
hex7c5c3b185b

534123321435 has 96 divisors (see below), whose sum is σ = 1015434620928. Its totient is φ = 257572143360.

The previous prime is 534123321343. The next prime is 534123321449.

534123321435 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 534123321435 - 231 = 531975837787 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 534123321435.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 220437634 + ... + 220440056.

It is an arithmetic number, because the mean of its divisors is an integer number (10577443968).

Almost surely, 2534123321435 is an apocalyptic number.

534123321435 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

534123321435 is a deficient number, since it is larger than the sum of its proper divisors (481311299493).

534123321435 is a wasteful number, since it uses less digits than its factorization.

534123321435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4665 (or 4662 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

It can be divided in two parts, 534123 and 321435, that added together give a palindrome (855558).

The spelling of 534123321435 in words is "five hundred thirty-four billion, one hundred twenty-three million, three hundred twenty-one thousand, four hundred thirty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 223 495 669 1115 1997 2007 2423 2453 3345 5991 7269 7359 9985 10035 12115 12265 17973 21807 21967 22077 26653 29955 36345 36795 65901 79959 89865 109035 109835 110385 133265 197703 239877 329505 399795 445331 540329 988515 1199385 1335993 1620987 2226655 2701645 4007979 4838731 4862961 4898641 5943619 6679965 8104935 14516193 14695923 17830857 20039895 24193655 24314805 24493205 29718095 43548579 44087769 53226041 53492571 72580965 73479615 89154285 159678123 217742895 220438845 266130205 267462855 479034369 798390615 1079037013 2395171845 3237111039 5395185065 9711333117 11869407143 16185555195 35608221429 48556665585 59347035715 106824664287 178041107145 534123321435