Search a number
-
+
305005124240 = 2456615767873
BaseRepresentation
bin1000111000000111011…
…10001101101010010000
31002011021022221200102222
410130003232031222100
514444122302433430
6352041210200212
731015211531315
oct4340356155220
91064238850388
10305005124240
11108396494213
124b141723068
13229b9a6299b
1410a95b78d0c
157e01cc89e5
hex4703b8da90

305005124240 has 40 divisors (see below), whose sum is σ = 710209861368. Its totient is φ = 121817456640.

The previous prime is 305005124219. The next prime is 305005124261. The reversal of 305005124240 is 42421500503.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (305005124219) and next prime (305005124261).

It can be written as a sum of positive squares in 4 ways, for example, as 14833291264 + 290171832976 = 121792^2 + 538676^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

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, 2831057 + ... + 2936816.

Almost surely, 2305005124240 is an apocalyptic number.

It is an amenable number.

305005124240 is an abundant number, since it is smaller than the sum of its proper divisors (405204737128).

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

305005124240 is a wasteful number, since it uses less digits than its factorization.

305005124240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5768547 (or 5768541 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

Adding to 305005124240 its reverse (42421500503), we get a palindrome (347426624743).

The spelling of 305005124240 in words is "three hundred five billion, five million, one hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 661 1322 2644 3305 5288 6610 10576 13220 26440 52880 5767873 11535746 23071492 28839365 46142984 57678730 92285968 115357460 230714920 461429840 3812564053 7625128106 15250256212 19062820265 30500512424 38125640530 61001024848 76251281060 152502562120 305005124240