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141131140133144 = 23722331350010893
BaseRepresentation
bin100000000101101110100111…
…011110010111000100011000
3200111201000010210221222100112
4200011232213132113010120
5121444243033333230034
61220054430053423452
741504250134546600
oct4005564736270430
9614630123858315
10141131140133144
1140a72420362167
12139b41b133ab88
1360997bcb43a55
1426bcad83c7c00
15114b228c287ce
hex805ba7797118

141131140133144 has 96 divisors (see below), whose sum is σ = 322234193092320. Its totient is φ = 57670160131584.

The previous prime is 141131140133143. The next prime is 141131140133161. The reversal of 141131140133144 is 441331041131141.

It is a super-2 number, since 2×1411311401331442 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 141131140133144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141131140133143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22183439 + ... + 27827454.

It is an arithmetic number, because the mean of its divisors is an integer number (3356606178045).

Almost surely, 2141131140133144 is an apocalyptic number.

141131140133144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

141131140133144 is an abundant number, since it is smaller than the sum of its proper divisors (181103052959176).

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

141131140133144 is a wasteful number, since it uses less digits than its factorization.

141131140133144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50011249 (or 50011238 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

Adding to 141131140133144 its reverse (441331041131141), we get a palindrome (582462181264285).

The spelling of 141131140133144 in words is "one hundred forty-one trillion, one hundred thirty-one billion, one hundred forty million, one hundred thirty-three thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 23 28 46 49 56 92 98 161 184 196 313 322 392 626 644 1127 1252 1288 2191 2254 2504 4382 4508 7199 8764 9016 14398 15337 17528 28796 30674 50393 57592 61348 100786 122696 201572 352751 403144 705502 1411004 2822008 50010893 100021786 200043572 350076251 400087144 700152502 1150250539 1400305004 2300501078 2450533757 2800610008 4601002156 4901067514 8051753773 9202004312 9802135028 15653409509 16103507546 19604270056 31306819018 32207015092 56362276411 62613638036 64414030184 109573866563 112724552822 125227276072 219147733126 225449105644 360028418707 438295466252 450898211288 720056837414 767017065941 876590932504 1440113674828 1534034131882 2520198930949 2880227349656 3068068263764 5040397861898 6136136527528 10080795723796 17641392516643 20161591447592 35282785033286 70565570066572 141131140133144