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144410140240340 = 2251319231270992257
BaseRepresentation
bin100000110101011100011011…
…000111000110100111010100
3200221022110210222011012020012
4200311130123013012213110
5122412003431400142330
61231045034053455352
742263200616566142
oct4065343307064724
9627273728135205
10144410140240340
1142016aa6445927
121424379b941558
136276a828c7480
1427936b941a592
1511a668c200c95
hex83571b1c69d4

144410140240340 has 96 divisors (see below), whose sum is σ = 358724854897920. Its totient is φ = 48318041604096.

The previous prime is 144410140240319. The next prime is 144410140240343. The reversal of 144410140240340 is 43042041014441.

It is a super-3 number, since 3×1444101402403403 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144410140240297 and 144410140240306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144410140240343) 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 31 ways as a sum of consecutive naturals, for example, 635382509 + ... + 635609748.

It is an arithmetic number, because the mean of its divisors is an integer number (3736717238520).

Almost surely, 2144410140240340 is an apocalyptic number.

144410140240340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144410140240340 is an abundant number, since it is smaller than the sum of its proper divisors (214314714657580).

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

144410140240340 is a wasteful number, since it uses less digits than its factorization.

144410140240340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270992321 (or 1270992319 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 144410140240340 its reverse (43042041014441), we get a palindrome (187452181254781).

The spelling of 144410140240340 in words is "one hundred forty-four trillion, four hundred ten billion, one hundred forty million, two hundred forty thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 19 20 23 26 38 46 52 65 76 92 95 115 130 190 230 247 260 299 380 437 460 494 598 874 988 1196 1235 1495 1748 2185 2470 2990 4370 4940 5681 5980 8740 11362 22724 28405 56810 113620 1270992257 2541984514 5083969028 6354961285 12709922570 16522899341 24148852883 25419845140 29232821911 33045798682 48297705766 58465643822 66091597364 82614496705 96595411532 116931287644 120744264415 146164109555 165228993410 241488528830 292328219110 313935087479 330457986820 380026684843 482977057660 555423616309 584656438220 627870174958 760053369686 1110847232618 1255740349916 1520106739372 1569675437395 1900133424215 2221694465236 2777118081545 3139350874790 3800266848430 5554236163090 6278701749580 7220507012017 7600533696860 11108472326180 14441014024034 28882028048068 36102535060085 72205070120170 144410140240340