Search a number
-
+
1440301380 = 2235722715107
BaseRepresentation
bin101010111011001…
…0100000101000100
310201101011220001120
41111312110011010
510422204121010
6354530353540
750456234250
oct12566240504
93641156046
101440301380
1167a015821
1234242b8b0
1319c51c54b
14d9403260
15866a5e70
hex55d94144

1440301380 has 96 divisors (see below), whose sum is σ = 4629574656. Its totient is φ = 327739776.

The previous prime is 1440301367. The next prime is 1440301381. The reversal of 1440301380 is 831030441.

It is a self number, because there is not a number n which added to its sum of digits gives 1440301380.

It is not an unprimeable number, because it can be changed into a prime (1440301381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87787 + ... + 102893.

It is an arithmetic number, because the mean of its divisors is an integer number (48224736).

Almost surely, 21440301380 is an apocalyptic number.

1440301380 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 1440301380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2314787328).

1440301380 is an abundant number, since it is smaller than the sum of its proper divisors (3189273276).

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

1440301380 is a wasteful number, since it uses less digits than its factorization.

1440301380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15353 (or 15351 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1440301380 is about 37951.3027444382. The cubic root of 1440301380 is about 1129.3220095614.

The spelling of 1440301380 in words is "one billion, four hundred forty million, three hundred one thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 227 420 454 681 908 1135 1362 1589 2270 2724 3178 3405 4540 4767 6356 6810 7945 9534 13620 15107 15890 19068 23835 30214 31780 45321 47670 60428 75535 90642 95340 105749 151070 181284 211498 226605 302140 317247 422996 453210 528745 634494 906420 1057490 1268988 1586235 2114980 3172470 3429289 6344940 6858578 10287867 13717156 17146445 20575734 24005023 34292890 41151468 48010046 51439335 68585780 72015069 96020092 102878670 120025115 144030138 205757340 240050230 288060276 360075345 480100460 720150690 1440301380