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144320313241420 = 225533371331330347
BaseRepresentation
bin100000110100001000110001…
…000000010010111101001100
3200220222212221202210211222021
4200310020301000102331030
5122404021000142211140
61230535500413255524
742253540620651001
oct4064106100227514
9626885852724867
10144320313241420
1141a919a0447038
121422a2b0a945a4
13626b4688984c4
14278d1d74b38a8
1511a4181148b4a
hex834231012f4c

144320313241420 has 96 divisors (see below), whose sum is σ = 309740773462848. Its totient is φ = 56464744906752.

The previous prime is 144320313241343. The next prime is 144320313241537. The reversal of 144320313241420 is 24142313023441.

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, 4755654687 + ... + 4755685033.

It is an arithmetic number, because the mean of its divisors is an integer number (3226466390238).

Almost surely, 2144320313241420 is an apocalyptic number.

144320313241420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144320313241420 is an abundant number, since it is smaller than the sum of its proper divisors (165420460221428).

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

144320313241420 is a wasteful number, since it uses less digits than its factorization.

144320313241420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44059 (or 44057 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 144320313241420 its reverse (24142313023441), we get a palindrome (168462626264861).

The spelling of 144320313241420 in words is "one hundred forty-four trillion, three hundred twenty billion, three hundred thirteen million, two hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 53 106 212 265 337 530 674 1060 1348 1685 3370 6740 13313 17861 26626 30347 35722 53252 60694 66565 71444 89305 121388 133130 151735 178610 266260 303470 357220 606940 705589 1411178 1608391 2822356 3216782 3527945 4486481 6433564 7055890 8041955 8972962 10226939 14111780 16083910 17945924 20453878 22432405 32167820 40907756 44864810 51134695 89729620 102269390 204538780 237783493 404009611 475566986 542027767 808019222 951133972 1084055534 1188917465 1616038444 2020048055 2168111068 2377834930 2710138835 4040096110 4755669860 5420277670 8080192220 10840555340 21412509383 42825018766 85650037532 107062546915 136151238907 214125093830 272302477814 428250187660 544604955628 680756194535 1361512389070 2723024778140 7216015662071 14432031324142 28864062648284 36080078310355 72160156620710 144320313241420