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42024248285 = 5175389281373
BaseRepresentation
bin100111001000110101…
…110010001111011101
311000110202001000010012
4213020311302033131
51142031201421120
631150005253005
73015254134205
oct471065621735
9130422030105
1042024248285
1116905657808
128189a04165
133c69569906
142069379405
15115e5891c5
hex9c8d723dd

42024248285 has 64 divisors (see below), whose sum is σ = 55358043840. Its totient is φ = 30504714240.

The previous prime is 42024248243. The next prime is 42024248327. The reversal of 42024248285 is 58284242024.

It is an interprime number because it is at equal distance from previous prime (42024248243) and next prime (42024248327).

It can be written as a sum of positive squares in 32 ways, for example, as 15330897124 + 26693351161 = 123818^2 + 163381^2 .

It is not a de Polignac number, because 42024248285 - 212 = 42024244189 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 112665359 + ... + 112665731.

It is an arithmetic number, because the mean of its divisors is an integer number (864969435).

Almost surely, 242024248285 is an apocalyptic number.

It is an amenable number.

42024248285 is a deficient number, since it is larger than the sum of its proper divisors (13333795555).

42024248285 is a wasteful number, since it uses less digits than its factorization.

42024248285 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818.

The product of its (nonzero) digits is 327680, while the sum is 41.

The spelling of 42024248285 in words is "forty-two billion, twenty-four million, two hundred forty-eight thousand, two hundred eighty-five".

Divisors: 1 5 17 53 85 89 265 281 373 445 901 1405 1513 1865 4505 4717 4777 6341 7565 14893 19769 23585 23885 25009 31705 33197 74465 80189 98845 104813 125045 165985 253181 336073 400945 425153 524065 564349 1265905 1325477 1680365 1759441 1781821 2125765 2821745 5555089 6627385 8797205 8909105 9328357 22533109 27775445 29910497 46641785 94436513 112665545 149552485 158582069 472182565 494402921 792910345 2472014605 8404849657 42024248285