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2045440315310 = 257671014318099
BaseRepresentation
bin11101110000111101101…
…111100100111110101110
321020112122020211001002012
4131300331233210332232
5232003030210042220
64203355020401222
7300530626545320
oct35607557447656
97215566731065
102045440315310
11719514808287
122905059a6212
1311ab65761002
1470ddd7b9610
15383173e4ac5
hex1dc3dbe4fae

2045440315310 has 64 divisors (see below), whose sum is σ = 4312849190400. Its totient is φ = 683986723200.

The previous prime is 2045440315307. The next prime is 2045440315393. The reversal of 2045440315310 is 135130445402.

It is a super-3 number, since 3×20454403153103 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1685360 + ... + 2632739.

It is an arithmetic number, because the mean of its divisors is an integer number (67388268600).

Almost surely, 22045440315310 is an apocalyptic number.

2045440315310 is an abundant number, since it is smaller than the sum of its proper divisors (2267408875090).

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

2045440315310 is a wasteful number, since it uses less digits than its factorization.

2045440315310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4318281.

The product of its (nonzero) digits is 28800, while the sum is 32.

The spelling of 2045440315310 in words is "two trillion, forty-five billion, four hundred forty million, three hundred fifteen thousand, three hundred ten".

Divisors: 1 2 5 7 10 14 35 67 70 101 134 202 335 469 505 670 707 938 1010 1414 2345 3535 4690 6767 7070 13534 33835 47369 67670 94738 236845 473690 4318099 8636198 21590495 30226693 43180990 60453386 151133465 289312633 302266930 436127999 578625266 872255998 1446563165 2025188431 2180639995 2893126330 3052895993 4050376862 4361279990 6105791986 10125942155 15264479965 20251884310 29220575933 30528959930 58441151866 146102879665 204544031531 292205759330 409088063062 1022720157655 2045440315310