Search a number
-
+
242422403160 = 233571674117239
BaseRepresentation
bin1110000111000110000…
…0000101000001011000
3212011201211112001102110
43201301200011001120
512432440113400120
6303211201232320
723341311266460
oct3416140050130
9764654461373
10242422403160
11938a1143623
123ab969326a0
1319b25202592
14ba3a2a0ba0
15648c95a2e0
hex3871805058

242422403160 has 128 divisors (see below), whose sum is σ = 831260390400. Its totient is φ = 55404311040.

The previous prime is 242422403159. The next prime is 242422403173. The reversal of 242422403160 is 61304224242.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14053821 + ... + 14071059.

It is an arithmetic number, because the mean of its divisors is an integer number (6494221800).

Almost surely, 2242422403160 is an apocalyptic number.

242422403160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242422403160 is an abundant number, since it is smaller than the sum of its proper divisors (588837987240).

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

242422403160 is a wasteful number, since it uses less digits than its factorization.

242422403160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34001 (or 33997 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The spelling of 242422403160 in words is "two hundred forty-two billion, four hundred twenty-two million, four hundred three thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 16741 17239 33482 34478 50223 51717 66964 68956 83705 86195 100446 103434 117187 120673 133928 137912 167410 172390 200892 206868 234374 241346 251115 258585 334820 344780 351561 362019 401784 413736 468748 482692 502230 517170 585935 603365 669640 689560 703122 724038 937496 965384 1004460 1034340 1171870 1206730 1406244 1448076 1757805 1810095 2008920 2068680 2343740 2413460 2812488 2896152 3515610 3620190 4687480 4826920 7031220 7240380 14062440 14480760 288598099 577196198 865794297 1154392396 1442990495 1731588594 2020186693 2308784792 2885980990 3463177188 4040373386 4328971485 5771961980 6060560079 6926354376 8080746772 8657942970 10100933465 11543923960 12121120158 16161493544 17315885940 20201866930 24242240316 30302800395 34631771880 40403733860 48484480632 60605600790 80807467720 121211201580 242422403160