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144450514120 = 235118331312637
BaseRepresentation
bin1000011010000111101…
…0111110110011001000
3111210212000010102101111
42012201322332303020
54331313312422440
6150205403500104
713302422053063
oct2064172766310
9453760112344
10144450514120
1156296605290
1223bb4227634
13108109303c3
146dc47358da
153b567d74ea
hex21a1ebecc8

144450514120 has 128 divisors (see below), whose sum is σ = 360007079040. Its totient is φ = 51724707840.

The previous prime is 144450514081. The next prime is 144450514127. The reversal of 144450514120 is 21415054441.

144450514120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (144450514127) by changing a digit.

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, 11424442 + ... + 11437078.

It is an arithmetic number, because the mean of its divisors is an integer number (2812555305).

Almost surely, 2144450514120 is an apocalyptic number.

144450514120 is a gapful number since it is divisible by the number (10) 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 144450514120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180003539520).

144450514120 is an abundant number, since it is smaller than the sum of its proper divisors (215556564920).

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

144450514120 is a wasteful number, since it uses less digits than its factorization.

144450514120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13055 (or 13051 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 31.

Adding to 144450514120 its reverse (21415054441), we get a palindrome (165865568561).

The spelling of 144450514120 in words is "one hundred forty-four billion, four hundred fifty million, five hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 83 88 110 166 220 313 332 415 440 626 664 830 913 1252 1565 1660 1826 2504 3130 3320 3443 3652 4565 6260 6886 7304 9130 12520 12637 13772 17215 18260 25274 25979 27544 34430 36520 50548 51958 63185 68860 101096 103916 126370 129895 137720 139007 207832 252740 259790 278014 285769 505480 519580 556028 571538 695035 1039160 1048871 1112056 1143076 1390070 1428845 2097742 2286152 2780140 2857690 3955381 4195484 5244355 5560280 5715380 7910762 8390968 10488710 11430760 11537581 15821524 19776905 20977420 23075162 31643048 39553810 41954840 43509191 46150324 57687905 79107620 87018382 92300648 115375810 158215240 174036764 217545955 230751620 328296623 348073528 435091910 461503240 656593246 870183820 1313186492 1641483115 1740367640 2626372984 3282966230 3611262853 6565932460 7222525706 13131864920 14445051412 18056314265 28890102824 36112628530 72225257060 144450514120