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312142441330395 = 34513193120332297
BaseRepresentation
bin100011011111001000101001…
…1010101011011011011011011
31111221012112012102112000010000
41012332101103111123123123
5311403120204440033040
63023512131414224043
7122514355453024164
oct10676212325333333
91457175172460100
10312142441330395
119050495865a095
122b013368055023
1310522ba13b3590
145711abbd8076b
15261481b98d130
hex11be45355b6db

312142441330395 has 80 divisors (see below), whose sum is σ = 634301149537440. Its totient is φ = 145582223602176.

The previous prime is 312142441330351. The next prime is 312142441330451. The reversal of 312142441330395 is 593033144241213.

312142441330395 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 4 + 244 + 13 + 3 + 0 + 395 = 666.

It is not a de Polignac number, because 312142441330395 - 245 = 276958069241563 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 312142441330395.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1560066114 + ... + 1560266183.

It is an arithmetic number, because the mean of its divisors is an integer number (7928764369218).

Almost surely, 2312142441330395 is an apocalyptic number.

312142441330395 is an abundant number, since it is smaller than the sum of its proper divisors (322158708207045).

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

312142441330395 is a wasteful number, since it uses less digits than its factorization.

312142441330395 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3120332346 (or 3120332337 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 312142441330395 in words is "three hundred twelve trillion, one hundred forty-two billion, four hundred forty-one million, three hundred thirty thousand, three hundred ninety-five".

Divisors: 1 3 5 9 13 15 19 27 39 45 57 65 81 95 117 135 171 195 247 285 351 405 513 585 741 855 1053 1235 1539 1755 2223 2565 3705 5265 6669 7695 11115 20007 33345 100035 3120332297 9360996891 15601661485 28082990673 40564319861 46804984455 59286313643 84248972019 121692959583 140414953365 177858940929 202821599305 252746916057 296431568215 365078878749 421244860095 533576822787 608464797915 770722077359 889294704645 1095236636247 1263734580285 1600730468361 1825394393745 2312166232077 2667884113935 3285709908741 3853610386795 4802191405083 5476183181235 6936498696231 8003652341805 11560831160385 16428549543705 20809496088693 24010957025415 34682493481155 62428488266079 104047480443465 312142441330395