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144540666364311 = 33725091006921317
BaseRepresentation
bin100000110111010101111111…
…000100110000000110010111
3200221202221201120002022021000
4200313111333010300012113
5122421123241042124221
61231225022045354343
742305501312413500
oct4067257704600627
9627687646068230
10144540666364311
1142067396aa4758
1214264b488689b3
13628618479ca59
142799b3c71bba7
1511a9c7b33ce26
hex83757f130197

144540666364311 has 96 divisors (see below), whose sum is σ = 249620903928000. Its totient is φ = 82420344647424.

The previous prime is 144540666364291. The next prime is 144540666364313. The reversal of 144540666364311 is 113463666045441.

144540666364311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 144540666364311 - 211 = 144540666362263 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144540666364313) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6780524425 + ... + 6780545741.

It is an arithmetic number, because the mean of its divisors is an integer number (2600217749250).

Almost surely, 2144540666364311 is an apocalyptic number.

144540666364311 is a deficient number, since it is larger than the sum of its proper divisors (105080237563689).

144540666364311 is a wasteful number, since it uses less digits than its factorization.

144540666364311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31918 (or 31905 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 144540666364311 in words is "one hundred forty-four trillion, five hundred forty billion, six hundred sixty-six million, three hundred sixty-four thousand, three hundred eleven".

Divisors: 1 3 7 9 21 27 49 63 147 189 441 509 1323 1527 3563 4581 10069 10689 13743 21317 24941 30207 32067 63951 70483 74823 90621 96201 149219 191853 211449 224469 271863 447657 493381 575559 634347 673407 1044533 1342971 1480143 1903041 3133599 4028913 4440429 5125121 9400797 10850353 13321287 15375363 28202391 32551059 35875847 46126089 75952471 97653177 107627541 138378267 214640873 227857413 251130929 292959531 322882623 531667297 643922619 683572239 753392787 968647869 1502486111 1595001891 1931767857 2050716717 2260178361 4507458333 4785005673 5795303571 6780535083 10517402777 13522374999 14355017019 31552208331 40567124997 94656624993 109252204357 283969874979 327756613071 764765430499 983269839213 2294296291497 2949809517639 5353358013493 6882888874491 16060074040479 20648666623473 48180222121437 144540666364311