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1440025314 = 23713191271093
BaseRepresentation
bin101010111010101…
…0000101011100010
310201100122212100220
41111311100223202
510422121302224
6354520423510
750454004350
oct12565205342
93640585326
101440025314
11679947372
12342317b96
1319c4539b0
14d93707d0
158664e279
hex55d50ae2

1440025314 has 128 divisors (see below), whose sum is σ = 3764060160. Its totient is φ = 356638464.

The previous prime is 1440025309. The next prime is 1440025319. The reversal of 1440025314 is 4135200441.

It is an interprime number because it is at equal distance from previous prime (1440025309) and next prime (1440025319).

It is not an unprimeable number, because it can be changed into a prime (1440025319) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1316952 + ... + 1318044.

It is an arithmetic number, because the mean of its divisors is an integer number (29406720).

Almost surely, 21440025314 is an apocalyptic number.

1440025314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1440025314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1882030080).

1440025314 is an abundant number, since it is smaller than the sum of its proper divisors (2324034846).

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

1440025314 is a wasteful number, since it uses less digits than its factorization.

1440025314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264.

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 1440025314 is about 37947.6654617909. The cubic root of 1440025314 is about 1129.2498516701.

Adding to 1440025314 its reverse (4135200441), we get a palindrome (5575225755).

The spelling of 1440025314 in words is "one billion, four hundred forty million, twenty-five thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 13 14 19 21 26 38 39 42 57 78 91 114 127 133 182 247 254 266 273 381 399 494 546 741 762 798 889 1093 1482 1651 1729 1778 2186 2413 2667 3279 3302 3458 4826 4953 5187 5334 6558 7239 7651 9906 10374 11557 14209 14478 15302 16891 20767 22953 23114 28418 31369 33782 34671 41534 42627 45906 50673 62301 62738 69342 85254 94107 99463 101346 124602 138811 145369 188214 198926 219583 269971 277622 290738 298389 416433 436107 439166 539942 596778 658749 809913 832866 872214 971677 1317498 1619826 1804543 1889797 1943354 2637409 2915031 3609086 3779594 5274818 5413629 5669391 5830062 7912227 10827258 11338782 12631801 15824454 18461863 25263602 34286317 36923726 37895403 55385589 68572634 75790806 102858951 110771178 205717902 240004219 480008438 720012657 1440025314