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242681136830 = 25113179711057
BaseRepresentation
bin1110001000000011101…
…1000100011010111110
3212012101212101002021222
43202000323010122332
512434002332334310
6303253002553342
723350602425156
oct3420073043276
9765355332258
10242681136830
1193a141a2000
123b049508852
1319b669b2322
14ba627b1766
1564a5517055
hex3880ec46be

242681136830 has 128 divisors (see below), whose sum is σ = 514030333824. Its totient is φ = 82192957440.

The previous prime is 242681136823. The next prime is 242681136853. The reversal of 242681136830 is 38631186242.

It is a super-4 number, since 4×2426811368304 (a number of 47 digits) contains 4444 as substring.

It is a Curzon number.

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, 21942662 + ... + 21953718.

It is an arithmetic number, because the mean of its divisors is an integer number (4015861983).

Almost surely, 2242681136830 is an apocalyptic number.

242681136830 is an abundant number, since it is smaller than the sum of its proper divisors (271349196994).

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

242681136830 is a wasteful number, since it uses less digits than its factorization.

242681136830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11211 (or 11189 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 44.

The spelling of 242681136830 in words is "two hundred forty-two billion, six hundred eighty-one million, one hundred thirty-six thousand, eight hundred thirty".

Divisors: 1 2 5 10 11 17 22 34 55 85 97 110 121 170 187 194 242 374 485 605 935 970 1067 1210 1331 1649 1870 2057 2134 2662 3298 4114 5335 6655 8245 10285 10670 11057 11737 13310 16490 18139 20570 22114 22627 23474 36278 45254 55285 58685 90695 110570 113135 117370 121627 129107 181390 187969 199529 226270 243254 258214 375938 399058 608135 645535 939845 997645 1072529 1216270 1291070 1337897 1879690 1995290 2067659 2145058 2194819 2675794 4135318 4389638 5362645 6689485 10338295 10725290 10974095 11797819 13378970 14716867 18232993 20676590 21948190 22744249 23595638 29433734 36465986 45488498 58989095 73584335 91164965 113721245 117978190 129776009 147168670 182329930 200562923 227442490 250186739 259552018 401125846 500373478 648880045 1002814615 1250933695 1297760090 1427536099 2005629230 2206192153 2501867390 2855072198 4412384306 7137680495 11030960765 14275360990 22061921530 24268113683 48536227366 121340568415 242681136830