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40272781024071 = 3317539771694449
BaseRepresentation
bin10010010100000101111001…
…10011101001101101000111
312021121001002100112210112000
421022002330303221231013
520234312123420232241
6221353021000200343
711324420025353211
oct1112027463515507
9167531070483460
1040272781024071
1111917654a84942
124625174a690b3
13196192624624b
149d32da6975b1
1549c8c29ddeb6
hex24a0bcce9b47

40272781024071 has 64 divisors (see below), whose sum is σ = 64430851248000. Its totient is φ = 24767027970048.

The previous prime is 40272781024057. The next prime is 40272781024109. The reversal of 40272781024071 is 17042018727204.

40272781024071 is a `hidden beast` number, since 4 + 0 + 2 + 72 + 78 + 102 + 407 + 1 = 666.

40272781024071 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40272781024071 - 210 = 40272781023047 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40272781024001) 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 63 ways as a sum of consecutive naturals, for example, 22920255 + ... + 24614703.

It is an arithmetic number, because the mean of its divisors is an integer number (1006732050750).

Almost surely, 240272781024071 is an apocalyptic number.

40272781024071 is a deficient number, since it is larger than the sum of its proper divisors (24158070223929).

40272781024071 is a wasteful number, since it uses less digits than its factorization.

40272781024071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1695505 (or 1695499 counting only the distinct ones).

The product of its (nonzero) digits is 351232, while the sum is 45.

The spelling of 40272781024071 in words is "forty trillion, two hundred seventy-two billion, seven hundred eighty-one million, twenty-four thousand, seventy-one".

Divisors: 1 3 9 17 27 51 53 153 159 459 477 901 977 1431 2703 2931 8109 8793 16609 24327 26379 49827 51781 149481 155343 448443 466029 880277 1398087 1694449 2640831 5083347 7922493 15250041 23767479 28805633 45750123 86416899 89805797 259250697 269417391 777752091 808252173 1526698549 1655476673 2424756519 4580095647 4966430019 13740286941 14899290057 28143103441 41220860823 44697870171 84429310323 87740263669 253287930969 263220791007 759863792907 789662373021 1491584482373 2368987119063 4474753447119 13424260341357 40272781024071