Search a number
-
+
300010240024 = 2311131149317431
BaseRepresentation
bin1000101110110100000…
…00001111100000011000
31001200101020012021102021
410113122000033200120
514403410110140044
6345453420344224
730450350651545
oct4273200174030
91050336167367
10300010240024
11106262a60830
124a1889a5074
13223a1ca57b1
1410740649bcc
157c0d532e84
hex45da00f818

300010240024 has 64 divisors (see below), whose sum is σ = 618791374080. Its totient is φ = 135228912000.

The previous prime is 300010239937. The next prime is 300010240067. The reversal of 300010240024 is 420042010003.

It is a super-2 number, since 2×3000102400242 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17202589 + ... + 17220019.

It is an arithmetic number, because the mean of its divisors is an integer number (9668615220).

Almost surely, 2300010240024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300010240024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309395687040).

300010240024 is an abundant number, since it is smaller than the sum of its proper divisors (318781134056).

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

300010240024 is a wasteful number, since it uses less digits than its factorization.

300010240024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19072 (or 19068 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 300010240024 its reverse (420042010003), we get a palindrome (720052250027).

The spelling of 300010240024 in words is "three hundred billion, ten million, two hundred forty thousand, twenty-four".

Divisors: 1 2 4 8 11 22 44 88 131 262 524 1048 1441 1493 2882 2986 5764 5972 11528 11944 16423 17431 32846 34862 65692 69724 131384 139448 191741 195583 383482 391166 766964 782332 1533928 1564664 2151413 2283461 4302826 4566922 8605652 9133844 17211304 18267688 25118071 26024483 50236142 52048966 100472284 104097932 200944568 208195864 286269313 572538626 1145077252 2290154504 3409207273 6818414546 13636829092 27273658184 37501280003 75002560006 150005120012 300010240024