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2144144310 = 2357116311471
BaseRepresentation
bin111111111001101…
…0000101110110110
312112102120211001020
41333303100232312
513342400104220
6552432242010
7104063632410
oct17763205666
95472524036
102144144310
11a0034a3a0
124ba0a0306
132822a5b59
14164a9b9b0
15c8387040
hex7fcd0bb6

2144144310 has 128 divisors (see below), whose sum is σ = 6430261248. Its totient is φ = 444528000.

The previous prime is 2144144297. The next prime is 2144144333. The reversal of 2144144310 is 134414412.

It is a super-2 number, since 2×21441443102 = 9194709644210752200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1456875 + ... + 1458345.

It is an arithmetic number, because the mean of its divisors is an integer number (50236416).

Almost surely, 22144144310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2144144310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3215130624).

2144144310 is an abundant number, since it is smaller than the sum of its proper divisors (4286116938).

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

2144144310 is a wasteful number, since it uses less digits than its factorization.

2144144310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2130.

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2144144310 is about 46304.9058955960. The cubic root of 2144144310 is about 1289.4900754850.

Adding to 2144144310 its reverse (134414412), we get a palindrome (2278558722).

The spelling of 2144144310 in words is "two billion, one hundred forty-four million, one hundred forty-four thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 462 631 770 1155 1262 1471 1893 2310 2942 3155 3786 4413 4417 6310 6941 7355 8826 8834 9465 10297 13251 13882 14710 16181 18930 20594 20823 22065 22085 26502 30891 32362 34705 41646 44130 44170 48543 48587 51485 61782 66255 69410 80905 97086 97174 102970 104115 113267 132510 145761 154455 161810 208230 226534 242715 242935 291522 308910 339801 485430 485870 566335 679602 728805 928201 1132670 1457610 1699005 1856402 2784603 3398010 4641005 5569206 6497407 9282010 10210211 12994814 13923015 19492221 20420422 27846030 30630633 32487035 38984442 51051055 61261266 64974070 71471477 97461105 102102110 142942954 153153165 194922210 214414431 306306330 357357385 428828862 714714770 1072072155 2144144310