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242111425230225 = 325229191401484459
BaseRepresentation
bin110111000011001011110101…
…011111110011010110010001
31011202020121220111122002112200
4313003023311133303112101
5223213223144324331400
62214532241524113413
7101665654550614125
oct6703136537632621
91152217814562480
10242111425230225
117016497378a931
12231a2996535869
13a51301795b2a5
1443b0381171585
151cecd1905bb00
hexdc32f57f3591

242111425230225 has 144 divisors (see below), whose sum is σ = 452076058137600. Its totient is φ = 123711194880000.

The previous prime is 242111425230223. The next prime is 242111425230289. The reversal of 242111425230225 is 522032524111242.

242111425230225 is a `hidden beast` number, since 2 + 4 + 2 + 1 + 1 + 1 + 425 + 2 + 3 + 0 + 225 = 666.

It is not a de Polignac number, because 242111425230225 - 21 = 242111425230223 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 242111425230225.

It is not an unprimeable number, because it can be changed into a prime (242111425230221) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 499514046 + ... + 499998504.

It is an arithmetic number, because the mean of its divisors is an integer number (3139417070400).

Almost surely, 2242111425230225 is an apocalyptic number.

242111425230225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

242111425230225 is a deficient number, since it is larger than the sum of its proper divisors (209964632907375).

242111425230225 is a wasteful number, since it uses less digits than its factorization.

242111425230225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485096 (or 485088 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 242111425230225 its reverse (522032524111242), we get a palindrome (764143949341467).

The spelling of 242111425230225 in words is "two hundred forty-two trillion, one hundred eleven billion, four hundred twenty-five million, two hundred thirty thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 29 45 75 87 145 191 225 261 401 435 573 725 955 1203 1305 1719 2005 2175 2865 3609 4775 5539 6015 6525 8595 10025 11629 14325 16617 18045 27695 30075 34887 42975 49851 58145 76591 83085 90225 104661 138475 174435 229773 249255 290725 382955 415425 484459 523305 689319 872175 1148865 1246275 1453377 1914775 2221139 2422295 2616525 3446595 4360131 5744325 6663417 7266885 11105695 12111475 14049311 17232975 19990251 21800655 33317085 36334425 42147933 55528475 70246555 92531669 99951255 109003275 126443799 166585425 194268059 210739665 277595007 351232775 462658345 499756275 582804177 632218995 832785021 971340295 1053698325 1387975035 1748412531 2313291725 2683418401 2914020885 3161094975 4163925105 4856701475 5633773711 6939875175 8050255203 8742062655 13417092005 14570104425 16901321133 20819625525 24150765609 28168868555 37105199269 40251276015 43710313275 50703963399 67085460025 84506605665 111315597807 120753828045 140844342775 185525996345 201256380075 253519816995 333946793421 422533028325 556577989035 603769140225 927629981725 1076050778801 1267599084975 1669733967105 2782889945175 3228152336403 5380253894005 8348669835525 9684457009209 16140761682015 26901269470025 48422285046045 80703808410075 242111425230225