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203201314440 = 233513912182333
BaseRepresentation
bin1011110100111110111…
…1011111111010001000
3201102111110010022022220
42331033233133322020
511312124014030230
6233203245214040
720452342450155
oct2751757377210
9642443108286
10203201314440
11791a4932113
123346b861320
131621462b087
149b9932d22c
155444531d10
hex2f4fbdfe88

203201314440 has 64 divisors (see below), whose sum is σ = 613989633600. Its totient is φ = 53797178112.

The previous prime is 203201314397. The next prime is 203201314447. The reversal of 203201314440 is 44413102302.

203201314440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 203201314440.

It is not an unprimeable number, because it can be changed into a prime (203201314447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6074487 + ... + 6107846.

It is an arithmetic number, because the mean of its divisors is an integer number (9593588025).

Almost surely, 2203201314440 is an apocalyptic number.

203201314440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203201314440 is an abundant number, since it is smaller than the sum of its proper divisors (410788319160).

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

203201314440 is a wasteful number, since it uses less digits than its factorization.

203201314440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12182486 (or 12182482 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 203201314440 its reverse (44413102302), we get a palindrome (247614416742).

The spelling of 203201314440 in words is "two hundred three billion, two hundred one million, three hundred fourteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 139 278 417 556 695 834 1112 1390 1668 2085 2780 3336 4170 5560 8340 16680 12182333 24364666 36546999 48729332 60911665 73093998 97458664 121823330 146187996 182734995 243646660 292375992 365469990 487293320 730939980 1461879960 1693344287 3386688574 5080032861 6773377148 8466721435 10160065722 13546754296 16933442870 20320131444 25400164305 33866885740 40640262888 50800328610 67733771480 101600657220 203201314440