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43140242401440 = 2535194730289737
BaseRepresentation
bin10011100111100010111101…
…10100101110100010100000
312122202011111200000102202220
421303301132310232202200
521123302204023321230
6231430204225111040
712041531265043632
oct1163613664564240
9178664450012686
1043140242401440
1112822746198758
124a08a4ba88480
131b0c151c6b552
14a91ddac9ca52
154ec29b5b4d10
hex273c5ed2e8a0

43140242401440 has 96 divisors (see below), whose sum is σ = 143043961677120. Its totient is φ = 10898587551744.

The previous prime is 43140242401409. The next prime is 43140242401447. The reversal of 43140242401440 is 4410424204134.

43140242401440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×431402424014402 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (43140242401447) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2365135749 + ... + 2365153988.

It is an arithmetic number, because the mean of its divisors is an integer number (1490041267470).

Almost surely, 243140242401440 is an apocalyptic number.

43140242401440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

43140242401440 is an abundant number, since it is smaller than the sum of its proper divisors (99903719275680).

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

43140242401440 is a wasteful number, since it uses less digits than its factorization.

43140242401440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4730289774 (or 4730289766 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 43140242401440 its reverse (4410424204134), we get a palindrome (47550666605574).

The spelling of 43140242401440 in words is "forty-three trillion, one hundred forty billion, two hundred forty-two million, four hundred one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 570 608 760 912 1140 1520 1824 2280 3040 4560 9120 4730289737 9460579474 14190869211 18921158948 23651448685 28381738422 37842317896 47302897370 56763476844 70954346055 75684635792 89875505003 94605794740 113526953688 141908692110 151369271584 179751010006 189211589480 227053907376 269626515009 283817384220 359502020012 378423178960 449377525015 454107814752 539253030018 567634768440 719004040024 756846357920 898755050030 1078506060036 1135269536880 1348132575045 1438008080048 1797510100060 2157012120072 2270539073760 2696265150090 2876016160096 3595020200120 4314024240144 5392530300180 7190040400240 8628048480288 10785060600360 14380080800480 21570121200720 43140242401440