Search a number
-
+
42140284284 = 223717271108893
BaseRepresentation
bin100111001111110000…
…011011010101111100
311000202211101020120210
4213033300123111330
51142300403044114
631205312312420
73021163335450
oct471760332574
9130684336523
1042140284284
111696510132a
128200842710
133c87606477
14207a942660
15116985a259
hex9cfc1b57c

42140284284 has 96 divisors (see below), whose sum is σ = 119424485376. Its totient is φ = 11289922560.

The previous prime is 42140284253. The next prime is 42140284339. The reversal of 42140284284 is 48248204124.

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, 332542 + ... + 441434.

It is an arithmetic number, because the mean of its divisors is an integer number (1244005056).

Almost surely, 242140284284 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42140284284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59712242688).

42140284284 is an abundant number, since it is smaller than the sum of its proper divisors (77284201092).

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

42140284284 is a wasteful number, since it uses less digits than its factorization.

42140284284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109195 (or 109193 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 39.

The spelling of 42140284284 in words is "forty-two billion, one hundred forty million, two hundred eighty-four thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 271 357 476 542 714 813 1084 1428 1626 1897 3252 3794 4607 5691 7588 9214 11382 13821 18428 22764 27642 32249 55284 64498 96747 108893 128996 193494 217786 326679 386988 435572 653358 762251 1306716 1524502 1851181 2286753 3049004 3702362 4573506 5553543 7404724 9147012 11107086 12958267 22214172 25916534 29510003 38874801 51833068 59020006 77749602 88530009 118040012 155499204 177060018 206570021 354120036 413140042 501670051 619710063 826280084 1003340102 1239420126 1505010153 2006680204 2478840252 3010020306 3511690357 6020040612 7023380714 10535071071 14046761428 21070142142 42140284284