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144521334 = 237193747
BaseRepresentation
bin10001001110100…
…11100001110110
3101001221110000000
420213103201312
5243444140314
622201332130
73403260666
oct1047234166
9331843000
10144521334
1174640021
1240497046
1323c312a9
14152a01a6
15ca4b209
hex89d3876

144521334 has 128 divisors (see below), whose sum is σ = 358963200. Its totient is φ = 43460064.

The previous prime is 144521327. The next prime is 144521339. The reversal of 144521334 is 433125441.

It is a happy number.

144521334 is a `hidden beast` number, since 1 + 445 + 213 + 3 + 4 = 666.

144521334 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1445213342 = 41772831962279112, which contains 22 as substring.

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 = 144521298 and 144521307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144521339) 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, 3074899 + ... + 3074945.

It is an arithmetic number, because the mean of its divisors is an integer number (2804400).

Almost surely, 2144521334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144521334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179481600).

144521334 is an abundant number, since it is smaller than the sum of its proper divisors (214441866).

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

144521334 is an equidigital number, since it uses as much as digits as its factorization.

144521334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 108 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 144521334 is about 12021.7026248365. The cubic root of 144521334 is about 524.7800548071.

Adding to 144521334 its reverse (433125441), we get a palindrome (577646775).

The spelling of 144521334 in words is "one hundred forty-four million, five hundred twenty-one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 27 37 38 47 54 57 74 81 94 111 114 141 162 171 222 243 282 333 342 423 486 513 666 703 729 846 893 999 1026 1269 1406 1458 1539 1739 1786 1998 2109 2187 2538 2679 2997 3078 3478 3807 4218 4374 4617 5217 5358 5994 6327 7614 8037 8991 9234 10434 11421 12654 13851 15651 16074 17982 18981 22842 24111 26973 27702 31302 33041 34263 37962 41553 46953 48222 53946 56943 66082 68526 72333 80919 83106 93906 99123 102789 113886 140859 144666 161838 170829 198246 205578 216999 281718 297369 341658 422577 433998 512487 594738 650997 845154 892107 1024974 1267731 1301994 1537461 1784214 1952991 2535462 2676321 3074922 3803193 3905982 5352642 7606386 8028963 16057926 24086889 48173778 72260667 144521334