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40884642480260 = 22529617315829949
BaseRepresentation
bin10010100101111001100101…
…00101111000000010000100
312100202112102000211020222102
421102330302211320002010
520324323221433332020
6222542051230451232
711416550361051155
oct1122746245700204
9170675360736872
1040884642480260
1112033096901a97
124703874063b18
1319a753641a987
14a14b81db392c
154ad783d62475
hex252f32978084

40884642480260 has 96 divisors (see below), whose sum is σ = 91511041356000. Its totient is φ = 15318324080640.

The previous prime is 40884642480239. The next prime is 40884642480263. The reversal of 40884642480260 is 6208424648804.

It can be written as a sum of positive squares in 16 ways, for example, as 22340388339844 + 18544254140416 = 4726562^2 + 4306304^2 .

It is a junction number, because it is equal to n+sod(n) for n = 40884642480196 and 40884642480205.

It is not an unprimeable number, because it can be changed into a prime (40884642480263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5332235 + ... + 10497714.

It is an arithmetic number, because the mean of its divisors is an integer number (953240014125).

Almost surely, 240884642480260 is an apocalyptic number.

It is an amenable number.

40884642480260 is an abundant number, since it is smaller than the sum of its proper divisors (50626398875740).

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

40884642480260 is a wasteful number, since it uses less digits than its factorization.

40884642480260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15830121 (or 15830119 counting only the distinct ones).

The product of its (nonzero) digits is 18874368, while the sum is 56.

The spelling of 40884642480260 in words is "forty trillion, eight hundred eighty-four billion, six hundred forty-two million, four hundred eighty thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 29 58 61 73 116 122 145 146 244 290 292 305 365 580 610 730 1220 1460 1769 2117 3538 4234 4453 7076 8468 8845 8906 10585 17690 17812 21170 22265 35380 42340 44530 89060 129137 258274 516548 645685 1291370 2582740 15829949 31659898 63319796 79149745 158299490 316598980 459068521 918137042 965626889 1155586277 1836274084 1931253778 2295342605 2311172554 3862507556 4590685210 4622345108 4828134445 5777931385 9181370420 9656268890 11555862770 19312537780 23111725540 28003179781 33512002033 56006359562 67024004066 70490762897 112012719124 134048008132 140015898905 140981525794 167560010165 280031797810 281963051588 335120020330 352453814485 560063595620 670240040660 704907628970 1409815257940 2044232124013 4088464248026 8176928496052 10221160620065 20442321240130 40884642480260