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144130241133105 = 35113264732124137
BaseRepresentation
bin100000110001010111101111…
…110100101111101000110001
3200220022201100022121022120220
4200301113233310233220301
5122342412213212224410
61230312304012323253
742234031510461423
oct4061275764575061
9626281308538526
10144130241133105
1141a193237198a7
12141b94a6173529
13625656733a466
142783d25b44813
15119e25958c070
hex8315efd2fa31

144130241133105 has 32 divisors (see below), whose sum is σ = 232737066872064. Its totient is φ = 76160415614976.

The previous prime is 144130241133103. The next prime is 144130241133113. The reversal of 144130241133105 is 501331142031441.

It is a happy number.

It is not a de Polignac number, because 144130241133105 - 21 = 144130241133103 is a prime.

It is not an unprimeable number, because it can be changed into a prime (144130241133103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11575404 + ... + 20548733.

It is an arithmetic number, because the mean of its divisors is an integer number (7273033339752).

Almost surely, 2144130241133105 is an apocalyptic number.

144130241133105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144130241133105 is a deficient number, since it is larger than the sum of its proper divisors (88606825738959).

144130241133105 is a wasteful number, since it uses less digits than its factorization.

144130241133105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32126905.

The product of its (nonzero) digits is 17280, while the sum is 33.

Adding to 144130241133105 its reverse (501331142031441), we get a palindrome (645461383164546).

The spelling of 144130241133105 in words is "one hundred forty-four trillion, one hundred thirty billion, two hundred forty-one million, one hundred thirty-three thousand, one hundred five".

Divisors: 1 3 5 15 113 339 565 1695 2647 7941 13235 39705 299111 897333 1495555 4486665 32124137 96372411 160620685 481862055 3630027481 10890082443 18150137405 54450412215 85032590639 255097771917 425162953195 1275488859585 9608682742207 28826048226621 48043413711035 144130241133105