Search a number
-
+
10144345213646 = 27171031753236063
BaseRepresentation
bin1001001110011110101000…
…0101111100101011001110
31022220210022212012212010022
42103213222011330223032
52312201104333314041
633324125311542142
72064622221411050
oct223475205745316
938823285185108
1010144345213646
113261213457516
12117a06082a952
135877b900a647
14270dbb8938d0
15128d2737a24b
hex939ea17cace

10144345213646 has 64 divisors (see below), whose sum is σ = 18602719469568. Its totient is φ = 4049781470208.

The previous prime is 10144345213637. The next prime is 10144345213661. The reversal of 10144345213646 is 64631254344101.

It is a super-2 number, since 2×101443452136462 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10144345213597 and 10144345213606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42855011 + ... + 43091073.

It is an arithmetic number, because the mean of its divisors is an integer number (290667491712).

Almost surely, 210144345213646 is an apocalyptic number.

10144345213646 is a deficient number, since it is larger than the sum of its proper divisors (8458374255922).

10144345213646 is a wasteful number, since it uses less digits than its factorization.

10144345213646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237945.

The product of its (nonzero) digits is 829440, while the sum is 44.

Adding to 10144345213646 its reverse (64631254344101), we get a palindrome (74775599557747).

The spelling of 10144345213646 in words is "ten trillion, one hundred forty-four billion, three hundred forty-five million, two hundred thirteen thousand, six hundred forty-six".

Divisors: 1 2 7 14 17 34 103 119 206 238 721 1442 1751 1753 3502 3506 12257 12271 24514 24542 29801 59602 180559 208607 236063 361118 417214 472126 1263913 1652441 2527826 3069503 3304882 4013071 6139006 8026142 21486521 24314489 28091497 42973042 48628978 56182994 170201423 340402846 413346313 413818439 826692626 827636878 2893424191 2896729073 5786848382 5793458146 7034913463 14069826926 42623299217 49244394241 85246598434 98488788482 298363094519 596726189038 724596086689 1449192173378 5072172606823 10144345213646