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144301223240240 = 24511315289634283
BaseRepresentation
bin100000110011110110111111…
…001001101110001000110000
3200220221001200100121022102112
4200303312333021232020300
5122403212401122141430
61230523022232304452
742252263555425613
oct4063667711561060
9626831610538375
10144301223240240
1141a84894659660
1214226663842128
1362697158a8411
14278c305dcc17a
1511a3915232195
hex833dbf26e230

144301223240240 has 80 divisors (see below), whose sum is σ = 377806839100416. Its totient is φ = 50780489107200.

The previous prime is 144301223240203. The next prime is 144301223240299. The reversal of 144301223240240 is 42042322103441.

It is a happy number.

144301223240240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 144301223240197 and 144301223240206.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2644789862 + ... + 2644844421.

Almost surely, 2144301223240240 is an apocalyptic number.

144301223240240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144301223240240 is an abundant number, since it is smaller than the sum of its proper divisors (233505615860176).

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

144301223240240 is a wasteful number, since it uses less digits than its factorization.

144301223240240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5289634338 (or 5289634332 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 144301223240240 its reverse (42042322103441), we get a palindrome (186343545343681).

The spelling of 144301223240240 in words is "one hundred forty-four trillion, three hundred one billion, two hundred twenty-three million, two hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 40 44 55 62 80 88 110 124 155 176 220 248 310 341 440 496 620 682 880 1240 1364 1705 2480 2728 3410 5456 6820 13640 27280 5289634283 10579268566 21158537132 26448171415 42317074264 52896342830 58185977113 84634148528 105792685660 116371954226 163978662773 211585371320 232743908452 290929885565 327957325546 423170742640 465487816904 581859771130 655914651092 819893313865 930975633808 1163719542260 1311829302184 1639786627730 1803765290503 2327439084520 2623658604368 3279573255460 3607530581006 4654878169040 6559146510920 7215061162012 9018826452515 13118293021840 14430122324024 18037652905030 28860244648048 36075305810060 72150611620120 144301223240240