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203201431401440 = 25590291183311887
BaseRepresentation
bin101110001100111110000101…
…001000101111001111100000
3222122110212102010121202011002
4232030332011020233033200
5203113223012414321230
62000101240543011132
760541550620244633
oct5614760510571740
9878425363552132
10203201431401440
115982327463731a
121a959970299aa8
13894ca74832544
143827004b65c1a
151875b07751545
hexb8cf8522f3e0

203201431401440 has 96 divisors (see below), whose sum is σ = 480197518577280. Its totient is φ = 81257865744384.

The previous prime is 203201431401431. The next prime is 203201431401461. The reversal of 203201431401440 is 44104134102302.

203201431401440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17094419177 + ... + 17094431063.

It is an arithmetic number, because the mean of its divisors is an integer number (5002057485180).

Almost surely, 2203201431401440 is an apocalyptic number.

203201431401440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203201431401440 is an abundant number, since it is smaller than the sum of its proper divisors (276996087175840).

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

203201431401440 is a wasteful number, since it uses less digits than its factorization.

203201431401440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32764 (or 32756 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 203201431401440 its reverse (44104134102302), we get a palindrome (247305565503742).

The spelling of 203201431401440 in words is "two hundred three trillion, two hundred one billion, four hundred thirty-one million, four hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 9029 11833 11887 18058 23666 23774 36116 45145 47332 47548 59165 59435 72232 90290 94664 95096 118330 118870 144464 180580 189328 190192 236660 237740 288928 361160 378656 380384 473320 475480 722320 946640 950960 1444640 1893280 1901920 106840157 107327723 140658871 213680314 214655446 281317742 427360628 429310892 534200785 536638615 562635484 703294355 854721256 858621784 1068401570 1073277230 1125270968 1406588710 1709442512 1717243568 2136803140 2146554460 2250541936 2813177420 3418885024 3434487136 4273606280 4293108920 4501083872 5626354840 8547212560 8586217840 11252709680 17094425120 17172435680 22505419360 1270008946259 2540017892518 5080035785036 6350044731295 10160071570072 12700089462590 20320143140144 25400178925180 40640286280288 50800357850360 101600715700720 203201431401440