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144354240243543 = 3111731431791078409
BaseRepresentation
bin100000110100101000010111…
…001101100010011101010111
3200221010010112012110010112110
4200310220113031202131113
5122410044441000243133
61231003231130522103
742256151433502431
oct4064502715423527
9627103465403473
10144354240243543
1141aa5320345970
121423499ab96333
136271714703aa5
142790ad52ad651
1511a4eb98c8c63
hex834a17362757

144354240243543 has 128 divisors (see below), whose sum is σ = 236141767065600. Its totient is φ = 77396910796800.

The previous prime is 144354240243529. The next prime is 144354240243547. The reversal of 144354240243543 is 345342042453441.

It is not a de Polignac number, because 144354240243543 - 24 = 144354240243527 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 144354240243492 and 144354240243501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144354240243547) 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 127 ways as a sum of consecutive naturals, for example, 133319323 + ... + 134397731.

It is an arithmetic number, because the mean of its divisors is an integer number (1844857555200).

Almost surely, 2144354240243543 is an apocalyptic number.

144354240243543 is a deficient number, since it is larger than the sum of its proper divisors (91787526822057).

144354240243543 is a wasteful number, since it uses less digits than its factorization.

144354240243543 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078693.

The product of its (nonzero) digits is 11059200, while the sum is 48.

Adding to 144354240243543 its reverse (345342042453441), we get a palindrome (489696282696984).

The spelling of 144354240243543 in words is "one hundred forty-four trillion, three hundred fifty-four billion, two hundred forty million, two hundred forty-three thousand, five hundred forty-three".

Divisors: 1 3 11 17 31 33 43 51 93 129 179 187 341 473 527 537 561 731 1023 1333 1419 1581 1969 2193 3043 3999 5549 5797 5907 7697 8041 9129 14663 16647 17391 22661 23091 24123 33473 43989 61039 67983 84667 94333 100419 130849 183117 238607 249271 254001 282999 392547 715821 747813 1037663 1078409 1439339 2624677 3112989 3235227 4056319 4318017 7874031 11862499 12168957 18332953 33430679 35587497 44619509 46371587 54998859 100292037 133858527 139114761 193035211 201662483 367737469 510087457 568321543 579105633 604987449 788316979 1103212407 1437519197 1530262371 1704964629 2123387321 2364950937 3281598587 4312557591 5984091541 6251536973 6370161963 8300514073 8671486769 9844795761 15812711167 17952274623 18754610919 24437826349 24901542219 26014460307 36097584457 47438133501 65825006951 73313479047 91305654803 101729556197 108292753371 141108739241 197475020853 257315936263 268816089839 273916964409 305188668591 423326217723 771947808789 806448269517 1119025118167 1552196131651 2830475298893 3357075354501 4374370916471 4656588394953 8491425896679 13123112749413 48118080081181 144354240243543