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144040004201110 = 25192960752318233
BaseRepresentation
bin100000110000000011101101…
…010010001010101010010110
3200220000002102112220012212111
4200300003231102022222112
5122334422412033413420
61230203021525541234
742224355403301143
oct4060035522125226
9626002375805774
10144040004201110
1141994028290246
12141a3b01b7481a
13624abb63cc944
14277d8055ad3ca
15119bc2750d45a
hex8300ed48aa96

144040004201110 has 128 divisors (see below), whose sum is σ = 282882403123200. Its totient is φ = 52598117698560.

The previous prime is 144040004201099. The next prime is 144040004201117. The reversal of 144040004201110 is 11102400040441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144040004201117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17495441554 + ... + 17495449786.

It is an arithmetic number, because the mean of its divisors is an integer number (2210018774400).

Almost surely, 2144040004201110 is an apocalyptic number.

144040004201110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144040004201110 is a deficient number, since it is larger than the sum of its proper divisors (138842398922090).

144040004201110 is a wasteful number, since it uses less digits than its factorization.

144040004201110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14126.

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 144040004201110 its reverse (11102400040441), we get a palindrome (155142404241551).

The spelling of 144040004201110 in words is "one hundred forty-four trillion, forty billion, four million, two hundred one thousand, one hundred ten".

Divisors: 1 2 5 10 19 29 38 58 95 145 190 290 551 607 1102 1214 2755 3035 5231 5510 6070 8233 10462 11533 16466 17603 23066 26155 35206 41165 52310 57665 82330 88015 99389 115330 151699 156427 176030 198778 238757 303398 312854 334457 477514 496945 668914 758495 782135 993890 1193785 1516990 1564270 1672285 2387570 2882281 3175217 3344570 4536383 4997431 5764562 6350434 9072766 9994862 14411405 15876085 22681915 24987155 28822810 31752170 43066823 45363830 49974310 60329123 86133646 92081293 94951189 120658246 144925499 184162586 189902378 215334115 289850998 301645615 430668230 460406465 474755945 603291230 724627495 818269637 920812930 949511890 1248937867 1449254990 1636539274 1749544567 2497875734 2753584481 3499089134 4091348185 5507168962 6244689335 8182696370 8747722835 12489378670 13767922405 17495445670 23729819473 26141561561 27535844810 47459638946 52283123122 118649097365 130707807805 237298194730 261415615610 496689669659 758105285269 993379339318 1516210570538 2483448348295 3790526426345 4966896696590 7581052852690 14404000420111 28808000840222 72020002100555 144040004201110