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242062403311240 = 235233725873274847
BaseRepresentation
bin110111000010011110001011…
…100100000001011010001000
31011202001221101002020120211121
4313002132023210001122020
5223211422300221424430
62214453533302205024
7101662301003311411
oct6702361344013210
91152057332216747
10242062403311240
11701460a812a5a6
1223195395123774
13a50b504722a35
1443abc506c4808
151ceb8ea4b8a7a
hexdc278b901688

242062403311240 has 128 divisors (see below), whose sum is σ = 583705119836160. Its totient is φ = 90108256702464.

The previous prime is 242062403311207. The next prime is 242062403311279. The reversal of 242062403311240 is 42113304260242.

It is a junction number, because it is equal to n+sod(n) for n = 242062403311196 and 242062403311205.

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, 880579497 + ... + 880854343.

It is an arithmetic number, because the mean of its divisors is an integer number (4560196248720).

Almost surely, 2242062403311240 is an apocalyptic number.

242062403311240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242062403311240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291852559918080).

242062403311240 is an abundant number, since it is smaller than the sum of its proper divisors (341642716524920).

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

242062403311240 is a wasteful number, since it uses less digits than its factorization.

242062403311240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300791 (or 300787 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 242062403311240 its reverse (42113304260242), we get a palindrome (284175707571482).

The spelling of 242062403311240 in words is "two hundred forty-two trillion, sixty-two billion, four hundred three million, three hundred eleven thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 23 37 40 46 74 92 115 148 184 185 230 296 370 460 740 851 920 1480 1702 3404 4255 6808 8510 17020 25873 34040 51746 103492 129365 206984 258730 274847 517460 549694 595079 957301 1034920 1099388 1190158 1374235 1914602 2198776 2380316 2748470 2975395 3829204 4760632 4786505 5496940 5950790 6321481 7658408 9573010 10169339 10993880 11901580 12642962 19146020 20338678 22017923 23803160 25285924 31607405 38292040 40677356 44035846 50571848 50846695 63214810 81354712 88071692 101693390 110089615 126429620 176143384 203386780 220179230 233894797 252859240 406773560 440358460 467789594 880716920 935579188 1169473985 1871158376 2338947970 4677895940 7111116431 9355791880 14222232862 28444465724 35555582155 56888931448 71111164310 142222328620 163555677913 263111307947 284444657240 327111355826 526222615894 654222711652 817778389565 1052445231788 1308445423304 1315556539735 1635556779130 2104890463576 2631113079470 3271113558260 5262226158940 6051560082781 6542227116520 10524452317880 12103120165562 24206240331124 30257800413905 48412480662248 60515600827810 121031201655620 242062403311240