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144044134234 = 2711131071574283
BaseRepresentation
bin1000011000100110110…
…0110000111101011010
3111202210200110011222121
42012021230300331122
54330000244243414
6150101205411454
713256355640060
oct2061154607532
9452720404877
10144044134234
11560a8182040
1223b00109b8a
1310777696c30
146d86790030
153b30cb3724
hex2189b30f5a

144044134234 has 128 divisors (see below), whose sum is σ = 294747973632. Its totient is φ = 50981149440.

The previous prime is 144044134231. The next prime is 144044134253. The reversal of 144044134234 is 432431440441.

It is a super-2 number, since 2×1440441342342 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 144044134234.

It is not an unprimeable number, because it can be changed into a prime (144044134231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33629457 + ... + 33633739.

It is an arithmetic number, because the mean of its divisors is an integer number (2302718544).

Almost surely, 2144044134234 is an apocalyptic number.

144044134234 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

144044134234 is an abundant number, since it is smaller than the sum of its proper divisors (150703839398).

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

144044134234 is a wasteful number, since it uses less digits than its factorization.

144044134234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4580.

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 144044134234 its reverse (432431440441), we get a palindrome (576475574675).

The spelling of 144044134234 in words is "one hundred forty-four billion, forty-four million, one hundred thirty-four thousand, two hundred thirty-four".

Divisors: 1 2 7 11 13 14 22 26 77 91 107 143 154 157 182 214 286 314 749 1001 1099 1177 1391 1498 1727 2002 2041 2198 2354 2782 3454 4082 4283 8239 8566 9737 12089 14287 15301 16478 16799 19474 22451 24178 28574 29981 30602 33598 44902 47113 55679 59962 94226 107107 111358 117593 157157 184789 214214 218387 235186 314314 329791 369578 389753 436774 458281 612469 659582 672431 779506 916562 1224938 1293523 1344862 1528709 2402257 2587046 3057418 3207967 4287283 4707017 4804514 5041091 5957653 6415934 7396741 8574566 8741603 9414034 10082182 11915306 14793482 16815799 17483206 33631598 35287637 41703571 51777187 61191221 65534183 70575274 71950117 83407142 96157633 103554374 122382442 131068366 143900234 192315266 458739281 503650819 673103431 791451287 917478562 935351521 1007301638 1346206862 1582902574 1870703042 5540159009 6547460647 10288866731 11080318018 13094921294 20577733462 72022067117 144044134234