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40444525501543 = 3143193534729401
BaseRepresentation
bin10010011001000101110011…
…00100110101110001100111
312022012110101112002012212001
421030202321210311301213
520300120342012022133
6222003543012310131
711343010021340422
oct1114427144656147
9168173345065761
1040444525501543
1111983477293829
124652505912347
131974b96720407
149db74dcb29b9
154a20c557687d
hex24c8b9935c67

40444525501543 has 32 divisors (see below), whose sum is σ = 42950938376192. Its totient is φ = 38023147008000.

The previous prime is 40444525501469. The next prime is 40444525501573. The reversal of 40444525501543 is 34510552544404.

40444525501543 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-40444525501543 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 40444525501493 and 40444525501502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40444525501573) 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 31 ways as a sum of consecutive naturals, for example, 1375602643 + ... + 1375632043.

It is an arithmetic number, because the mean of its divisors is an integer number (1342216824256).

Almost surely, 240444525501543 is an apocalyptic number.

40444525501543 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

40444525501543 is a deficient number, since it is larger than the sum of its proper divisors (2506412874649).

40444525501543 is a wasteful number, since it uses less digits than its factorization.

40444525501543 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35015.

The product of its (nonzero) digits is 3840000, while the sum is 46.

The spelling of 40444525501543 in words is "forty trillion, four hundred forty-four billion, five hundred twenty-five million, five hundred one thousand, five hundred forty-three".

Divisors: 1 31 43 193 1333 5347 5983 8299 29401 165757 229921 257269 911431 1031971 1264243 5674393 7127551 31991101 39191533 44374753 157207147 175906183 243998899 1375617343 4873421557 6759907321 7563965869 30340979371 209557126951 940570360501 1304662112953 40444525501543