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204103404240 = 24351039818509
BaseRepresentation
bin1011111000010110000…
…0101100101011010000
3201111211022120012220020
42332011200230223100
511321000432413430
6233432552143440
720513605211451
oct2760540545320
9644738505806
10204103404240
117961806157a
1233681997b80
13163294a6a18
149c43071128
155498822b10
hex2f8582cad0

204103404240 has 80 divisors (see below), whose sum is σ = 633330297600. Its totient is φ = 54375123456.

The previous prime is 204103404233. The next prime is 204103404277. The reversal of 204103404240 is 42404301402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×2041034042403 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 204103404240.

It is a congruent number.

It is an unprimeable number.

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, 159895 + ... + 658614.

It is an arithmetic number, because the mean of its divisors is an integer number (7916628720).

Almost surely, 2204103404240 is an apocalyptic number.

204103404240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204103404240 is an abundant number, since it is smaller than the sum of its proper divisors (429226893360).

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

204103404240 is a wasteful number, since it uses less digits than its factorization.

204103404240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819564 (or 819558 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 204103404240 its reverse (42404301402), we get a palindrome (246507705642).

The spelling of 204103404240 in words is "two hundred four billion, one hundred three million, four hundred four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1039 2078 3117 4156 5195 6234 8312 10390 12468 15585 16624 20780 24936 31170 41560 49872 62340 83120 124680 249360 818509 1637018 2455527 3274036 4092545 4911054 6548072 8185090 9822108 12277635 13096144 16370180 19644216 24555270 32740360 39288432 49110540 65480720 98221080 196442160 850430851 1700861702 2551292553 3401723404 4252154255 5102585106 6803446808 8504308510 10205170212 12756462765 13606893616 17008617020 20410340424 25512925530 34017234040 40820680848 51025851060 68034468080 102051702120 204103404240