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144302242143240 = 23325495780863337
BaseRepresentation
bin100000110011110111111011…
…111000100001110000001000
3200220221011022100211221120200
4200303313323320201300020
5122403221442442040430
61230523311311052200
742252331040106366
oct4063677370416010
9626834270757520
10144302242143240
1141a85267813555
12142268a8b11060
136269848a035bc
14278c3a145a636
1511a39748e9460
hex833dfbe21c08

144302242143240 has 96 divisors (see below), whose sum is σ = 469076902870680. Its totient is φ = 38472834548736.

The previous prime is 144302242143233. The next prime is 144302242143247. The reversal of 144302242143240 is 42341242203441.

144302242143240 is a `hidden beast` number, since 1 + 4 + 4 + 30 + 2 + 242 + 143 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (144302242143233) and next prime (144302242143247).

It can be written as a sum of positive squares in 4 ways, for example, as 142434247514724 + 1867994628516 = 11934582^2 + 1366746^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 144302242143195 and 144302242143204.

It is not an unprimeable number, because it can be changed into a prime (144302242143247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38647149 + ... + 42216188.

Almost surely, 2144302242143240 is an apocalyptic number.

144302242143240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144302242143240 is an abundant number, since it is smaller than the sum of its proper divisors (324774660727440).

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

144302242143240 is a wasteful number, since it uses less digits than its factorization.

144302242143240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80868311 (or 80868304 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 144302242143240 its reverse (42341242203441), we get a palindrome (186643484346681).

The spelling of 144302242143240 in words is "one hundred forty-four trillion, three hundred two billion, two hundred forty-two million, one hundred forty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 4957 9914 14871 19828 24785 29742 39656 44613 49570 59484 74355 89226 99140 118968 148710 178452 198280 223065 297420 356904 446130 594840 892260 1784520 80863337 161726674 242590011 323453348 404316685 485180022 646906696 727770033 808633370 970360044 1212950055 1455540066 1617266740 1940720088 2425900110 2911080132 3234533480 3638850165 4851800220 5822160264 7277700330 9703600440 14555400660 29110801320 400839561509 801679123018 1202518684527 1603358246036 2004197807545 2405037369054 3206716492072 3607556053581 4008395615090 4810074738108 6012593422635 7215112107162 8016791230180 9620149476216 12025186845270 14430224214324 16033582460360 18037780267905 24050373690540 28860448428648 36075560535810 48100747381080 72151121071620 144302242143240