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2144243340 = 223453142697
BaseRepresentation
bin111111111001110…
…1000111010001100
312112102202211220000
41333303220322030
513342411241330
6552434324300
7104064524211
oct17763507214
95472684800
102144243340
11a00407838
124ba129690
1328230bc55
14164ac5b08
15c83a6560
hex7fce8e8c

2144243340 has 120 divisors (see below), whose sum is σ = 6943719552. Its totient is φ = 553340160.

The previous prime is 2144243291. The next prime is 2144243341. The reversal of 2144243340 is 433424412.

It is a happy number.

It is a super-2 number, since 2×21442433402 = 9195559002268711200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2144243341) 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 39 ways as a sum of consecutive naturals, for example, 28872 + ... + 71568.

Almost surely, 22144243340 is an apocalyptic number.

2144243340 is a gapful number since it is divisible by the number (20) 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 2144243340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3471859776).

2144243340 is an abundant number, since it is smaller than the sum of its proper divisors (4799476212).

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

2144243340 is a wasteful number, since it uses less digits than its factorization.

2144243340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42749 (or 42738 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 2144243340 is about 46305.9752083897. The cubic root of 2144243340 is about 1289.5099274193.

Adding to 2144243340 its reverse (433424412), we get a palindrome (2577667752).

The spelling of 2144243340 in words is "two billion, one hundred forty-four million, two hundred forty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 81 90 93 108 124 135 155 162 180 186 270 279 310 324 372 405 465 540 558 620 810 837 930 1116 1395 1620 1674 1860 2511 2790 3348 4185 5022 5580 8370 10044 12555 16740 25110 42697 50220 85394 128091 170788 213485 256182 384273 426970 512364 640455 768546 853940 1152819 1280910 1323607 1537092 1921365 2305638 2561820 2647214 3458457 3842730 3970821 4611276 5294428 5764095 6618035 6916914 7685460 7941642 11528190 11912463 13236070 13833828 15883284 17292285 19854105 23056380 23824926 26472140 34584570 35737389 39708210 47649852 59562315 69169140 71474778 79416420 107212167 119124630 142949556 178686945 214424334 238249260 357373890 428848668 536060835 714747780 1072121670 2144243340