Search a number
-
+
505352342340 = 223354567204913
BaseRepresentation
bin1110101101010010101…
…10001100101101000100
31210022101212120212122000
413112221112030231010
531234430144423330
61024053342305300
751340050015066
oct7265126145504
91708355525560
10505352342340
1118535624a51a
1281b35588230
1338867ca2a51
141a660001736
15d22a987560
hex75a958cb44

505352342340 has 96 divisors (see below), whose sum is σ = 1572559215360. Its totient is φ = 134730459648.

The previous prime is 505352342311. The next prime is 505352342377. The reversal of 505352342340 is 43243253505.

505352342340 is a `hidden beast` number, since 5 + 0 + 53 + 523 + 42 + 3 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 505352342295 and 505352342304.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2363724 + ... + 2568636.

It is an arithmetic number, because the mean of its divisors is an integer number (16380825160).

Almost surely, 2505352342340 is an apocalyptic number.

It is an amenable number.

505352342340 is an abundant number, since it is smaller than the sum of its proper divisors (1067206873020).

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

505352342340 is a wasteful number, since it uses less digits than its factorization.

505352342340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209498 (or 209490 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 36.

Adding to 505352342340 its reverse (43243253505), we get a palindrome (548595595845).

The spelling of 505352342340 in words is "five hundred five billion, three hundred fifty-two million, three hundred forty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 4567 9134 13701 18268 22835 27402 41103 45670 54804 68505 82206 91340 123309 137010 164412 204913 205515 246618 274020 409826 411030 493236 614739 616545 819652 822060 1024565 1229478 1233090 1844217 2049130 2458956 2466180 3073695 3688434 4098260 5532651 6147390 7376868 9221085 11065302 12294780 18442170 22130604 27663255 36884340 55326510 110653020 935837671 1871675342 2807513013 3743350684 4679188355 5615026026 8422539039 9358376710 11230052052 14037565065 16845078078 18716753420 25267617117 28075130130 33690156156 42112695195 50535234234 56150260260 84225390390 101070468468 126338085585 168450780780 252676171170 505352342340