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144134204054644 = 22472935696836733
BaseRepresentation
bin100000110001011011011100…
…000010000101110001110100
3200220100002120111112120221201
4200301123130002011301310
5122342443322214222034
61230314201135422244
742234231640655506
oct4061333402056164
9626302514476851
10144134204054644
1141a1aa77688471
12141ba211384984
136256a4937904b
1427841c01a5d76
15119e3dc43b014
hex8316dc085c74

144134204054644 has 96 divisors (see below), whose sum is σ = 259352642465280. Its totient is φ = 70056348392448.

The previous prime is 144134204054579. The next prime is 144134204054653. The reversal of 144134204054644 is 446450402431441.

It is a happy number.

144134204054644 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 144134204054594 and 144134204054603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21407126302 + ... + 21407133034.

It is an arithmetic number, because the mean of its divisors is an integer number (2701590025680).

Almost surely, 2144134204054644 is an apocalyptic number.

It is an amenable number.

144134204054644 is a deficient number, since it is larger than the sum of its proper divisors (115218438410636).

144134204054644 is a wasteful number, since it uses less digits than its factorization.

144134204054644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8329 (or 8327 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 46.

The spelling of 144134204054644 in words is "one hundred forty-four trillion, one hundred thirty-four billion, two hundred four million, fifty-four thousand, six hundred forty-four".

Divisors: 1 2 4 47 94 188 293 569 586 683 1138 1172 1366 2276 2732 6733 13466 13771 26743 26932 27542 32101 53486 55084 64202 106972 128404 166717 200119 316451 333434 388627 400238 632902 666868 777254 800476 1265804 1554508 1972769 3831077 3945538 4598639 7662154 7835699 7891076 9197278 9405593 15324308 15671398 18265469 18394556 18811186 31342796 36530938 37622372 73061876 92720143 113867711 180060619 185440286 216136033 227735422 360121238 370880572 432272066 455470844 720242476 864544132 1122505561 1347401227 2245011122 2616625591 2694802454 4490022244 5233251182 5351782417 5389604908 10466502364 10703564834 21407129668 52757761367 63327857669 105515522734 122981402777 126655715338 211031045468 245962805554 253311430676 491925611108 766671298163 1533342596326 3066685192652 36033551013661 72067102027322 144134204054644