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144315440310 = 23519787321709
BaseRepresentation
bin1000011001100111011…
…1101101110010110110
3111210111120221221221210
42012121313231302312
54331024223042220
6150144140422250
713266162000636
oct2063167556266
9453446857853
10144315440310
1156227338338
1223b76b47986
13107bb959382
146db08146c6
153b49a056e0
hex2199dedcb6

144315440310 has 64 divisors (see below), whose sum is σ = 365050771200. Its totient is φ = 36412198272.

The previous prime is 144315440309. The next prime is 144315440323. The reversal of 144315440310 is 13044513441.

It is a super-2 number, since 2×1443154403102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 287736 + ... + 609444.

It is an arithmetic number, because the mean of its divisors is an integer number (5703918300).

Almost surely, 2144315440310 is an apocalyptic number.

144315440310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144315440310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182525385600).

144315440310 is an abundant number, since it is smaller than the sum of its proper divisors (220735330890).

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

144315440310 is a wasteful number, since it uses less digits than its factorization.

144315440310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322525.

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 144315440310 its reverse (13044513441), we get a palindrome (157359953751).

The spelling of 144315440310 in words is "one hundred forty-four billion, three hundred fifteen million, four hundred forty thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 570 787 1574 2361 3935 4722 7870 11805 14953 23610 29906 44859 74765 89718 149530 224295 321709 448590 643418 965127 1608545 1930254 3217090 4825635 6112471 9651270 12224942 18337413 30562355 36674826 61124710 91687065 183374130 253184983 506369966 759554949 1265924915 1519109898 2531849830 3797774745 4810514677 7595549490 9621029354 14431544031 24052573385 28863088062 48105146770 72157720155 144315440310