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43344121440 = 253590300253
BaseRepresentation
bin101000010111100000…
…101100111001100000
311010212201121111201010
4220113200230321200
51202232043341230
631524554540520
73063051644664
oct502740547140
9133781544633
1043344121440
1117422698a74
128497a37740
134119b42349
1421527908a4
1511da3a29b0
hexa1782ce60

43344121440 has 48 divisors (see below), whose sum is σ = 136533984048. Its totient is φ = 11558432256.

The previous prime is 43344121421. The next prime is 43344121441. The reversal of 43344121440 is 4412144334.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 43344121398 and 43344121407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43344121441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45149647 + ... + 45150606.

It is an arithmetic number, because the mean of its divisors is an integer number (2844458001).

Almost surely, 243344121440 is an apocalyptic number.

43344121440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

43344121440 is an abundant number, since it is smaller than the sum of its proper divisors (93189862608).

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

43344121440 is a wasteful number, since it uses less digits than its factorization.

43344121440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90300271 (or 90300263 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 43344121440 its reverse (4412144334), we get a palindrome (47756265774).

The spelling of 43344121440 in words is "forty-three billion, three hundred forty-four million, one hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 90300253 180600506 270900759 361201012 451501265 541801518 722402024 903002530 1083603036 1354503795 1444804048 1806005060 2167206072 2709007590 2889608096 3612010120 4334412144 5418015180 7224020240 8668824288 10836030360 14448040480 21672060720 43344121440