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203440203042144 = 2534321146116161
BaseRepresentation
bin101110010000011100011101…
…000010010000110101100000
3222200022200201112120211222020
4232100130131002100311200
5203131131013434322034
62000403050011541440
760565032611561205
oct5620343502206540
9880280645524866
10203440203042144
1159905561a3aa92
121a9980a845a880
138969437590543
1438347b6221cac
15187be2e91e249
hexb9071d090d60

203440203042144 has 72 divisors (see below), whose sum is σ = 546738669455832. Its totient is φ = 66236345118720.

The previous prime is 203440203042127. The next prime is 203440203042149. The reversal of 203440203042144 is 441240302044302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203440203042149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 572880577 + ... + 573235584.

It is an arithmetic number, because the mean of its divisors is an integer number (7593592631331).

Almost surely, 2203440203042144 is an apocalyptic number.

203440203042144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

203440203042144 is an abundant number, since it is smaller than the sum of its proper divisors (343298466413688).

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

203440203042144 is a wasteful number, since it uses less digits than its factorization.

203440203042144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146116260 (or 1146116209 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 203440203042144 its reverse (441240302044302), we get a palindrome (644680505086446).

The spelling of 203440203042144 in words is "two hundred three trillion, four hundred forty billion, two hundred three million, forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1376 1849 2064 3698 4128 5547 7396 11094 14792 22188 29584 44376 59168 88752 177504 1146116161 2292232322 3438348483 4584464644 6876696966 9168929288 13753393932 18337858576 27506787864 36675717152 49282994923 55013575728 98565989846 110027151456 147848984769 197131979692 295697969538 394263959384 591395939076 788527918768 1182791878152 1577055837536 2119168781689 2365583756304 4238337563378 4731167512608 6357506345067 8476675126756 12715012690134 16953350253512 25430025380268 33906700507024 50860050760536 67813401014048 101720101521072 203440203042144