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43140010002144 = 2531149981868301
BaseRepresentation
bin10011100111100010100001…
…11110001100011011100000
312122202010220110201022212120
421303301100332030123200
521123301220030032034
6231430125204024240
712041522443505646
oct1163612076143340
9178663813638776
1043140010002144
1112822636a96720
124a089a6092080
131b0c115a7c183
14a91db8085196
154ec285eaac49
hex273c50f8c6e0

43140010002144 has 96 divisors (see below), whose sum is σ = 123784872624000. Its totient is φ = 13046532288000.

The previous prime is 43140010002143. The next prime is 43140010002223. The reversal of 43140010002144 is 44120001004134.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×431400100021442 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43140010002143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40407207 + ... + 41461094.

It is an arithmetic number, because the mean of its divisors is an integer number (1289425756500).

Almost surely, 243140010002144 is an apocalyptic number.

43140010002144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

43140010002144 is an abundant number, since it is smaller than the sum of its proper divisors (80644862621856).

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

43140010002144 is a wasteful number, since it uses less digits than its factorization.

43140010002144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81868824 (or 81868816 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 43140010002144 its reverse (44120001004134), we get a palindrome (87260011006278).

The spelling of 43140010002144 in words is "forty-three trillion, one hundred forty billion, ten million, two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 499 528 998 1056 1497 1996 2994 3992 5489 5988 7984 10978 11976 15968 16467 21956 23952 32934 43912 47904 65868 87824 131736 175648 263472 526944 81868301 163736602 245604903 327473204 491209806 654946408 900551311 982419612 1309892816 1801102622 1964839224 2619785632 2701653933 3602205244 3929678448 5403307866 7204410488 7859356896 10806615732 14408820976 21613231464 28817641952 40852282199 43226462928 81704564398 86452925856 122556846597 163409128796 245113693194 326818257592 449375104189 490227386388 653636515184 898750208378 980454772776 1307273030368 1348125312567 1797500416756 1960909545552 2696250625134 3595000833512 3921819091104 5392501250268 7190001667024 10785002500536 14380003334048 21570005001072 43140010002144