Search a number
-
+
245323312204401 = 347615650970429
BaseRepresentation
bin110111110001111011001000…
…111000010000101001110001
31012011121200100102121220120000
4313301323020320100221301
5224123334120411020101
62225431550200540213
7102450011241465504
oct6761731070205161
91164550312556500
10245323312204401
117119303a1a0402
1223621374a81669
13a6b6b733ba492
1444819d6b4513b
151d566505bb486
hexdf1ec8e10a71

245323312204401 has 40 divisors (see below), whose sum is σ = 366963895458600. Its totient is φ = 163328752200960.

The previous prime is 245323312204367. The next prime is 245323312204409. The reversal of 245323312204401 is 104402213323542.

245323312204401 is a `hidden beast` number, since 2 + 4 + 5 + 3 + 2 + 33 + 12 + 204 + 401 = 666.

245323312204401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 634254552801 + 244689057651600 = 796401^2 + 15642540^2 .

It is not a de Polignac number, because 245323312204401 - 219 = 245323311680113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (245323312204409) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3483236055 + ... + 3483306483.

It is an arithmetic number, because the mean of its divisors is an integer number (9174097386465).

Almost surely, 2245323312204401 is an apocalyptic number.

It is an amenable number.

245323312204401 is a deficient number, since it is larger than the sum of its proper divisors (121640583254199).

245323312204401 is an equidigital number, since it uses as much as digits as its factorization.

245323312204401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127711 (or 127702 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 245323312204401 its reverse (104402213323542), we get a palindrome (349725525527943).

The spelling of 245323312204401 in words is "two hundred forty-five trillion, three hundred twenty-three billion, three hundred twelve million, two hundred four thousand, four hundred one".

Divisors: 1 3 9 27 81 761 2283 6849 20547 56509 61641 70429 169527 211287 508581 633861 1525743 1901583 4577229 5704749 43003349 53596469 129010047 160789407 387030141 482368221 1161090423 1447104663 3483271269 3979872361 4341313989 11939617083 35818851249 107456553747 322369661241 3028682866721 9086048600163 27258145800489 81774437401467 245323312204401