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245341234240 = 2652926437633
BaseRepresentation
bin1110010001111101111…
…0100010010001000000
3212110021020211000221021
43210133132202101000
513004424323443430
6304412550035224
723503533040204
oct3443736422100
9773236730837
10245341234240
1195059804613
123b670348b14
131a19bb3766b
14bc35bb8b04
1565add1907a
hex391f7a2440

245341234240 has 56 divisors (see below), whose sum is σ = 604364313240. Its totient is φ = 94752473088.

The previous prime is 245341234207. The next prime is 245341234247. The reversal of 245341234240 is 42432143542.

245341234240 is digitally balanced in base 3, 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 2836201536 + 242505032704 = 53256^2 + 492448^2 .

It is a junction number, because it is equal to n+sod(n) for n = 245341234196 and 245341234205.

It is not an unprimeable number, because it can be changed into a prime (245341234247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13209537 + ... + 13228096.

Almost surely, 2245341234240 is an apocalyptic number.

245341234240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245341234240 is an abundant number, since it is smaller than the sum of its proper divisors (359023079000).

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

245341234240 is a wasteful number, since it uses less digits than its factorization.

245341234240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26437679 (or 26437669 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 34.

Adding to 245341234240 its reverse (42432143542), we get a palindrome (287773377782).

The spelling of 245341234240 in words is "two hundred forty-five billion, three hundred forty-one million, two hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 145 160 232 290 320 464 580 928 1160 1856 2320 4640 9280 26437633 52875266 105750532 132188165 211501064 264376330 423002128 528752660 766691357 846004256 1057505320 1533382714 1692008512 2115010640 3066765428 3833456785 4230021280 6133530856 7666913570 8460042560 12267061712 15333827140 24534123424 30667654280 49068246848 61335308560 122670617120 245341234240