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2002313000040 = 233541406974187
BaseRepresentation
bin11101001000110011001…
…001111011010001101000
321002102022122011102112020
4131020303021323101220
5230301214112000130
64131503324344440
7264443116452303
oct35106311732150
97072278142466
102002313000040
117021a3540a71
1228408a6a5120
13116a8180b752
146ccabb43b3a
15371410bae10
hex1d23327b468

2002313000040 has 64 divisors (see below), whose sum is σ = 6153449722560. Its totient is φ = 520926958080.

The previous prime is 2002312999997. The next prime is 2002313000069. The reversal of 2002313000040 is 400003132002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 2002312999983 and 2002313000019.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203482174 + ... + 203492013.

It is an arithmetic number, because the mean of its divisors is an integer number (96147651915).

Almost surely, 22002313000040 is an apocalyptic number.

2002313000040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002313000040 is an abundant number, since it is smaller than the sum of its proper divisors (4151136722520).

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

2002313000040 is a wasteful number, since it uses less digits than its factorization.

2002313000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406974242 (or 406974238 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 2002313000040 its reverse (400003132002), we get a palindrome (2402316132042).

The spelling of 2002313000040 in words is "two trillion, two billion, three hundred thirteen million, forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 984 1230 1640 2460 4920 406974187 813948374 1220922561 1627896748 2034870935 2441845122 3255793496 4069741870 4883690244 6104612805 8139483740 9767380488 12209225610 16278967480 16685941667 24418451220 33371883334 48836902440 50057825001 66743766668 83429708335 100115650002 133487533336 166859416670 200231300004 250289125005 333718833340 400462600008 500578250010 667437666680 1001156500020 2002313000040