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40311313103440 = 2453853130778981
BaseRepresentation
bin10010010101001101101010…
…11111110111101001010000
312021201201112201110020110201
421022212311133313221100
520240430032123302230
6221422432300304544
711330252626545061
oct1112466537675120
9167651481406421
1040311313103440
1111931a28373435
124630729242154
131965457158b02
149d5113d12568
1549d8ca6b65ca
hex24a9b57f7a50

40311313103440 has 40 divisors (see below), whose sum is σ = 93748128572808. Its totient is φ = 16120340190720.

The previous prime is 40311313103431. The next prime is 40311313103447. The reversal of 40311313103440 is 4430131311304.

It can be written as a sum of positive squares in 4 ways, for example, as 7288315297344 + 33022997806096 = 2699688^2 + 5746564^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 40311313103399 and 40311313103408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40311313103447) 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, 65081251 + ... + 65697730.

Almost surely, 240311313103440 is an apocalyptic number.

40311313103440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40311313103440 is an abundant number, since it is smaller than the sum of its proper divisors (53436815469368).

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

40311313103440 is a wasteful number, since it uses less digits than its factorization.

40311313103440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130782847 (or 130782841 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 40311313103440 its reverse (4430131311304), we get a palindrome (44741444414744).

The spelling of 40311313103440 in words is "forty trillion, three hundred eleven billion, three hundred thirteen million, one hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 3853 7706 15412 19265 30824 38530 61648 77060 154120 308240 130778981 261557962 523115924 653894905 1046231848 1307789810 2092463696 2615579620 5231159240 10462318480 503891413793 1007782827586 2015565655172 2519457068965 4031131310344 5038914137930 8062262620688 10077828275860 20155656551720 40311313103440