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144410012340 = 223511435088443
BaseRepresentation
bin1000011001111110000…
…0011110101010110100
3111210202011220201101120
42012133200132222310
54331222430343330
6150201355423540
713301420565066
oct2063740365264
9453664821346
10144410012340
1156275761740
1223ba2754bb0
131080541c359
146dbd1d1736
153b52e86c10
hex219f81eab4

144410012340 has 96 divisors (see below), whose sum is σ = 451365336576. Its totient is φ = 34194330240.

The previous prime is 144410012321. The next prime is 144410012381. The reversal of 144410012340 is 43210014441.

144410012340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 144410012340.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2515842 + ... + 2572601.

It is an arithmetic number, because the mean of its divisors is an integer number (4701722256).

Almost surely, 2144410012340 is an apocalyptic number.

144410012340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144410012340 is an abundant number, since it is smaller than the sum of its proper divisors (306955324236).

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

144410012340 is a wasteful number, since it uses less digits than its factorization.

144410012340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5088509 (or 5088507 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 144410012340 its reverse (43210014441), we get a palindrome (187620026781).

The spelling of 144410012340 in words is "one hundred forty-four billion, four hundred ten million, twelve thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 43 44 55 60 66 86 110 129 132 165 172 215 220 258 330 430 473 516 645 660 860 946 1290 1419 1892 2365 2580 2838 4730 5676 7095 9460 14190 28380 5088443 10176886 15265329 20353772 25442215 30530658 50884430 55972873 61061316 76326645 101768860 111945746 152653290 167918619 218803049 223891492 279864365 305306580 335837238 437606098 559728730 656409147 671674476 839593095 875212196 1094015245 1119457460 1312818294 1679186190 2188030490 2406833539 2625636588 3282045735 3358372380 4376060980 4813667078 6564091470 7220500617 9627334156 12034167695 13128182940 14441001234 24068335390 28882002468 36102503085 48136670780 72205006170 144410012340