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144154544240220 = 22355507436276691
BaseRepresentation
bin100000110001101110011000…
…011001101111011001011100
3200220102001002001012002002020
4200301232120121233121130
5122343312001311141340
61230331403340300140
742235551663462213
oct4061563031573134
9626361061162066
10144154544240220
1141a28665138998
1214202149241650
13625893b381907
14278518d72207a
15119ebccea29d0
hex831b9866f65c

144154544240220 has 48 divisors (see below), whose sum is σ = 403706019282048. Its totient is φ = 38434231282240.

The previous prime is 144154544240087. The next prime is 144154544240227. The reversal of 144154544240220 is 22042445451441.

144154544240220 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 3×1441545442402203 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144154544240227) 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, 217807926 + ... + 218468765.

It is an arithmetic number, because the mean of its divisors is an integer number (8410542068376).

Almost surely, 2144154544240220 is an apocalyptic number.

144154544240220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144154544240220 is an abundant number, since it is smaller than the sum of its proper divisors (259551475041828).

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

144154544240220 is a wasteful number, since it uses less digits than its factorization.

144154544240220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436282210 (or 436282208 counting only the distinct ones).

The product of its (nonzero) digits is 819200, while the sum is 42.

Adding to 144154544240220 its reverse (22042445451441), we get a palindrome (166196989691661).

The spelling of 144154544240220 in words is "one hundred forty-four trillion, one hundred fifty-four billion, five hundred forty-four million, two hundred forty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 5507 11014 16521 22028 27535 33042 55070 66084 82605 110140 165210 330420 436276691 872553382 1308830073 1745106764 2181383455 2617660146 4362766910 5235320292 6544150365 8725533820 13088300730 26176601460 2402575737337 4805151474674 7207727212011 9610302949348 12012878686685 14415454424022 24025757373370 28830908848044 36038636060055 48051514746740 72077272120110 144154544240220