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144231213340 = 225174771127123
BaseRepresentation
bin1000011001010011011…
…0011010100100011100
3111210021201110210021101
42012110312122210130
54330341142311330
6150131531242444
713264120041154
oct2062466324434
9453251423241
10144231213340
115619383a375
1223b528a9424
13107a7379026
146da356b764
153b424194ca
hex2194d9a91c

144231213340 has 96 divisors (see below), whose sum is σ = 332141451264. Its totient is φ = 52394603520.

The previous prime is 144231213283. The next prime is 144231213353. The reversal of 144231213340 is 43312132441.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 144231213299 and 144231213308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1071019 + ... + 1198141.

It is an arithmetic number, because the mean of its divisors is an integer number (3459806784).

Almost surely, 2144231213340 is an apocalyptic number.

144231213340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144231213340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166070725632).

144231213340 is an abundant number, since it is smaller than the sum of its proper divisors (187910237924).

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

144231213340 is a wasteful number, since it uses less digits than its factorization.

144231213340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127267 (or 127265 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 144231213340 its reverse (43312132441), we get a palindrome (187543345781).

The spelling of 144231213340 in words is "one hundred forty-four billion, two hundred thirty-one million, two hundred thirteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 47 68 71 85 94 142 170 188 235 284 340 355 470 710 799 940 1207 1420 1598 2414 3196 3337 3995 4828 6035 6674 7990 12070 13348 15980 16685 24140 33370 56729 66740 113458 127123 226916 254246 283645 508492 567290 635615 1134580 1271230 2161091 2542460 4322182 5974781 8644364 9025733 10805455 11949562 18051466 21610910 23899124 29873905 36102932 43221820 45128665 59747810 90257330 101571277 119495620 153437461 180514660 203142554 306874922 406285108 424209451 507856385 613749844 767187305 848418902 1015712770 1534374610 1696837804 2031425540 2121047255 3068749220 4242094510 7211560667 8484189020 14423121334 28846242668 36057803335 72115606670 144231213340