Search a number
-
+
44153130430314 = 23233144916679901
BaseRepresentation
bin10100000101000001100111…
…01001111010111101101010
312210022222221120112120012200
422002200303221322331222
521241401102342232224
6233523400150521030
712204646506166113
oct1202406351727552
9183288846476180
1044153130430314
1113083268070484
124b5120a066176
131b83812363479
14ac9046c4520a
155187ce5115c9
hex282833a7af6a

44153130430314 has 96 divisors (see below), whose sum is σ = 96235248657600. Its totient is φ = 14630305536000.

The previous prime is 44153130430309. The next prime is 44153130430351. The reversal of 44153130430314 is 41303403135144.

44153130430314 is a `hidden beast` number, since 4 + 4 + 1 + 5 + 3 + 1 + 304 + 30 + 314 = 666.

44153130430314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4459456764 + ... + 4459466664.

It is an arithmetic number, because the mean of its divisors is an integer number (1002450506850).

Almost surely, 244153130430314 is an apocalyptic number.

44153130430314 is an abundant number, since it is smaller than the sum of its proper divisors (52082118227286).

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

44153130430314 is a wasteful number, since it uses less digits than its factorization.

44153130430314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12356 (or 12353 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 44153130430314 its reverse (41303403135144), we get a palindrome (85456533565458).

The spelling of 44153130430314 in words is "forty-four trillion, one hundred fifty-three billion, one hundred thirty million, four hundred thirty thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 331 449 662 898 993 1347 1667 1986 2694 2979 3334 4041 5001 5958 8082 9901 10002 15003 19802 29703 30006 59406 89109 148619 178218 297238 445857 551777 748483 891714 1103554 1337571 1496966 1655331 2245449 2675142 3277231 3310662 4445549 4490898 4965993 6554462 6736347 8891098 9831693 9931986 13336647 13472694 16504967 19663386 26673294 29495079 33009934 40009941 49514901 58990158 80019882 99029802 148544703 247747873 297089406 495495746 743243619 1471476719 1486487238 2229730857 2942953438 4414430157 4459461714 5463144077 7410730183 8828860314 10926288154 13243290471 14821460366 16389432231 22232190549 26486580942 32778864462 44464381098 49168296693 66696571647 98336593386 133393143294 2452951690573 4905903381146 7358855071719 14717710143438 22076565215157 44153130430314