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1014041245240 = 23582354495653
BaseRepresentation
bin11101100000110011001…
…00010111011000111000
310120221102021111120220001
432300121210113120320
5113103224024321430
62053502155042344
7133155613240042
oct16603144273070
93527367446801
101014041245240
11361063935301
121446404403b4
13748152b8c8a
14371191b8a92
151b59e2e53ca
hexec19917638

1014041245240 has 64 divisors (see below), whose sum is σ = 2285188488000. Its totient is φ = 404977646592.

The previous prime is 1014041245237. The next prime is 1014041245247. The reversal of 1014041245240 is 425421404101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1014041245199 and 1014041245208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014041245247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179378254 + ... + 179383906.

It is an arithmetic number, because the mean of its divisors is an integer number (35706070125).

Almost surely, 21014041245240 is an apocalyptic number.

1014041245240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1014041245240 is an abundant number, since it is smaller than the sum of its proper divisors (1271147242760).

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

1014041245240 is a wasteful number, since it uses less digits than its factorization.

1014041245240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11936 (or 11932 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

Adding to 1014041245240 its reverse (425421404101), we get a palindrome (1439462649341).

The spelling of 1014041245240 in words is "one trillion, fourteen billion, forty-one million, two hundred forty-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 823 1646 3292 4115 5449 5653 6584 8230 10898 11306 16460 21796 22612 27245 28265 32920 43592 45224 54490 56530 108980 113060 217960 226120 4484527 4652419 8969054 9304838 17938108 18609676 22422635 23262095 30803197 35876216 37219352 44845270 46524190 61606394 89690540 93048380 123212788 154015985 179381080 186096760 246425576 308031970 616063940 1232127880 25351031131 50702062262 101404124524 126755155655 202808249048 253510311310 507020622620 1014041245240