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144032114034 = 23373112932363
BaseRepresentation
bin1000011000100011111…
…0111010010101110010
3111202202211211111101000
42012020332322111302
54324434210122114
6150100100022430
713256151524544
oct2061076722562
9452684744330
10144032114034
11560a1412096
1223ab8091a16
13107750489a3
146d84d41694
153b2ebdbe09
hex2188fba572

144032114034 has 64 divisors (see below), whose sum is σ = 324753321600. Its totient is φ = 47309619456.

The previous prime is 144032114029. The next prime is 144032114047. The reversal of 144032114034 is 430411230441.

144032114034 is a `hidden beast` number, since 1 + 4 + 40 + 3 + 211 + 403 + 4 = 666.

144032114034 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 144032113989 and 144032114007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4434337 + ... + 4466699.

It is an arithmetic number, because the mean of its divisors is an integer number (5074270650).

Almost surely, 2144032114034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144032114034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162376660800).

144032114034 is an abundant number, since it is smaller than the sum of its proper divisors (180721207566).

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

144032114034 is a wasteful number, since it uses less digits than its factorization.

144032114034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33576 (or 33570 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 144032114034 its reverse (430411230441), we get a palindrome (574443344475).

The spelling of 144032114034 in words is "one hundred forty-four billion, thirty-two million, one hundred fourteen thousand, thirty-four".

Divisors: 1 2 3 6 9 18 27 54 73 146 219 438 657 1129 1314 1971 2258 3387 3942 6774 10161 20322 30483 32363 60966 64726 82417 97089 164834 194178 247251 291267 494502 582534 741753 873801 1483506 1747602 2225259 2362499 4450518 4724998 7087497 14174994 21262491 36537827 42524982 63787473 73075654 109613481 127574946 219226962 328840443 657680886 986521329 1973042658 2667261371 5334522742 8001784113 16003568226 24005352339 48010704678 72016057017 144032114034