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144339607632 = 243111912775167
BaseRepresentation
bin1000011001101101001…
…1111010000001010000
3111210120021102210021210
42012123103322001100
54331101414421012
6150150402420120
713266604264413
oct2063323720120
9453507383253
10144339607632
1156239a44630
1223b83061640
13107c396b56c
146db3b05b7a
153b4bbcb23c
hex219b4fa050

144339607632 has 160 divisors (see below), whose sum is σ = 410460585984. Its totient is φ = 43344806400.

The previous prime is 144339607631. The next prime is 144339607637. The reversal of 144339607632 is 236706933441.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144339607631) 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, 27932313 + ... + 27937479.

Almost surely, 2144339607632 is an apocalyptic number.

144339607632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144339607632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205230292992).

144339607632 is an abundant number, since it is smaller than the sum of its proper divisors (266120978352).

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

144339607632 is a wasteful number, since it uses less digits than its factorization.

144339607632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5657 (or 5651 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 48.

The spelling of 144339607632 in words is "one hundred forty-four billion, three hundred thirty-nine million, six hundred seven thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 191 264 277 382 528 554 573 764 831 1108 1146 1528 1662 2101 2216 2292 3047 3056 3324 4202 4432 4584 5167 6094 6303 6648 8404 9141 9168 10334 12188 12606 13296 15501 16808 18282 20668 24376 25212 31002 33616 36564 41336 48752 50424 52907 56837 62004 73128 82672 100848 105814 113674 124008 146256 158721 170511 211628 227348 248016 317442 341022 423256 454696 581977 634884 682044 846512 909392 986897 1163954 1269768 1364088 1431259 1745931 1973794 2327908 2539536 2728176 2862518 2960691 3491862 3947588 4293777 4655816 5725036 5921382 6983724 7895176 8587554 9311632 10855867 11450072 11842764 13967448 15743849 15790352 17175108 21711734 22900144 23685528 27934896 31487698 32567601 34350216 43423468 47231547 47371056 62975396 65135202 68700432 86846936 94463094 125950792 130270404 173693872 188926188 251901584 260540808 273370469 377852376 521081616 546740938 755704752 820111407 1093481876 1640222814 2186963752 3007075159 3280445628 4373927504 6014150318 6560891256 9021225477 12028300636 13121782512 18042450954 24056601272 36084901908 48113202544 72169803816 144339607632