Search a number
-
+
1444214032030 = 2571117271140697
BaseRepresentation
bin10101000001000001110…
…111010100011010011110
312010001202202111100011201
4111001001313110122132
5142130222243011110
63023243542510114
7206224653503350
oct25010167243236
95101682440151
101444214032030
11507540196a30
121b3a9443533a
13a625ba38cc3
144dc867230d0
1527879a98b3a
hex15041dd469e

1444214032030 has 128 divisors (see below), whose sum is σ = 3433041045504. Its totient is φ = 423498854400.

The previous prime is 1444214032007. The next prime is 1444214032039. The reversal of 1444214032030 is 302304124441.

It is a self number, because there is not a number n which added to its sum of digits gives 1444214032030.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444214032039) 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 63 ways as a sum of consecutive naturals, for example, 35466642 + ... + 35507338.

It is an arithmetic number, because the mean of its divisors is an integer number (26820633168).

Almost surely, 21444214032030 is an apocalyptic number.

1444214032030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1444214032030 is an abundant number, since it is smaller than the sum of its proper divisors (1988827013474).

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

1444214032030 is a wasteful number, since it uses less digits than its factorization.

1444214032030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43450.

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 1444214032030 its reverse (302304124441), we get a palindrome (1746518156471).

The spelling of 1444214032030 in words is "one trillion, four hundred forty-four billion, two hundred fourteen million, thirty-two thousand, thirty".

Divisors: 1 2 5 7 10 11 14 17 22 34 35 55 70 77 85 110 119 154 170 187 238 374 385 595 770 935 1190 1309 1870 2618 2711 5422 6545 13090 13555 18977 27110 29821 37954 40697 46087 59642 81394 92174 94885 149105 189770 203485 208747 230435 284879 298210 322609 406970 417494 447667 460870 506957 569758 645218 691849 895334 1013914 1043735 1383698 1424395 1613045 2087470 2238335 2534785 2848790 3133669 3226090 3459245 3548699 4476670 4842943 5069570 6267338 6918490 7097398 7610339 9685886 15220678 15668345 17743495 24214715 31336690 35486990 38051695 48429430 53272373 76103390 106544746 110329567 220659134 266361865 532723730 551647835 772306969 1103295670 1213625237 1544613938 1875602639 2427250474 3751205278 3861534845 6068126185 7723069690 8495376659 9378013195 12136252370 13129218473 16990753318 18756026390 20631629029 26258436946 41263258058 42476883295 65646092365 84953766590 103158145145 131292184730 144421403203 206316290290 288842806406 722107016015 1444214032030