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10042343311240 = 2352292711404399
BaseRepresentation
bin1001001000100010101001…
…0011100100011110001000
31022120001001011122100001001
42102020222103210132020
52304013204341424430
633205215553104344
72054351425505302
oct222105223443610
938501034570031
1010042343311240
113221a2aaa5519
1211623345580b4
1357acb1838986
1426a0a2a00972
151263575043ca
hex9222a4e4788

10042343311240 has 64 divisors (see below), whose sum is σ = 22702368960000. Its totient is φ = 3997910979840.

The previous prime is 10042343311201. The next prime is 10042343311243. The reversal of 10042343311240 is 4211334324001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10042343311199 and 10042343311208.

It is not an unprimeable number, because it can be changed into a prime (10042343311243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24630561 + ... + 25034959.

It is an arithmetic number, because the mean of its divisors is an integer number (354724515000).

Almost surely, 210042343311240 is an apocalyptic number.

10042343311240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10042343311240 is an abundant number, since it is smaller than the sum of its proper divisors (12660025648760).

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

10042343311240 is a wasteful number, since it uses less digits than its factorization.

10042343311240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407350 (or 407346 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 10042343311240 its reverse (4211334324001), we get a palindrome (14253677635241).

The spelling of 10042343311240 in words is "ten trillion, forty-two billion, three hundred forty-three million, three hundred eleven thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 229 458 916 1145 1832 2290 2711 4580 5422 9160 10844 13555 21688 27110 54220 108440 404399 620819 808798 1241638 1617596 2021995 2483276 3104095 3235192 4043990 4966552 6208190 8087980 12416380 16175960 24832760 92607371 185214742 370429484 463036855 740858968 926073710 1096325689 1852147420 2192651378 3704294840 4385302756 5481628445 8770605512 10963256890 21926513780 43853027560 251058582781 502117165562 1004234331124 1255292913905 2008468662248 2510585827810 5021171655620 10042343311240