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4102442230240 = 255250310243813
BaseRepresentation
bin111011101100101100100…
…111001010000111100000
3112112012010020211012020201
4323230230213022013200
51014203300202331430
612420345210314544
7602251225412314
oct73545447120740
915465106735221
104102442230240
111341921763472
125630b7728a54
13239b2158b813
141027b8893b44
1571aa980d8ca
hex3bb2c9ca1e0

4102442230240 has 48 divisors (see below), whose sum is σ = 9695892876768. Its totient is φ = 1640321127936.

The previous prime is 4102442230217. The next prime is 4102442230421. The reversal of 4102442230240 is 420322442014.

4102442230240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×41024422302403 (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4102442230199 and 4102442230208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4721427 + ... + 5522386.

It is an arithmetic number, because the mean of its divisors is an integer number (201997768266).

Almost surely, 24102442230240 is an apocalyptic number.

4102442230240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4102442230240 is an abundant number, since it is smaller than the sum of its proper divisors (5593450646528).

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

4102442230240 is a wasteful number, since it uses less digits than its factorization.

4102442230240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10246331 (or 10246323 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 4102442230240 its reverse (420322442014), we get a palindrome (4522764672254).

The spelling of 4102442230240 in words is "four trillion, one hundred two billion, four hundred forty-two million, two hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 2503 5006 10012 12515 20024 25030 40048 50060 80096 100120 200240 400480 10243813 20487626 40975252 51219065 81950504 102438130 163901008 204876260 327802016 409752520 819505040 1639010080 25640263939 51280527878 102561055756 128201319695 205122111512 256402639390 410244223024 512805278780 820488446048 1025610557560 2051221115120 4102442230240