Search a number
-
+
1444436952500 = 225419283107453
BaseRepresentation
bin10101000001001111001…
…001101100010110110100
312010002100021221212120102
4111001033021230112310
5142131201324440000
63023322024453232
7206233331342303
oct25011711542664
95102307855512
101444436952500
11507645004423
121b3b3701a218
13a6295c89ac9
144dca819043a
152788e42e3d5
hex1504f26c5b4

1444436952500 has 120 divisors (see below), whose sum is σ = 3336721782240. Its totient is φ = 545426352000.

The previous prime is 1444436952449. The next prime is 1444436952509. The reversal of 1444436952500 is 52596344441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444436952509) 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, 13388774 + ... + 13496226.

It is an arithmetic number, because the mean of its divisors is an integer number (27806014852).

Almost surely, 21444436952500 is an apocalyptic number.

1444436952500 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 1444436952500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668360891120).

1444436952500 is an abundant number, since it is smaller than the sum of its proper divisors (1892284829740).

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

1444436952500 is a wasteful number, since it uses less digits than its factorization.

1444436952500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107779 (or 107762 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 47.

The spelling of 1444436952500 in words is "one trillion, four hundred forty-four billion, four hundred thirty-six million, nine hundred fifty-two thousand, five hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 125 190 250 283 380 475 500 566 625 950 1132 1250 1415 1900 2375 2500 2830 4750 5377 5660 7075 9500 10754 11875 14150 21508 23750 26885 28300 35375 47500 53770 70750 107453 107540 134425 141500 176875 214906 268850 353750 429812 537265 537700 672125 707500 1074530 1344250 2041607 2149060 2686325 2688500 3360625 4083214 5372650 6721250 8166428 10208035 10745300 13431625 13442500 20416070 26863250 30409199 40832140 51040175 53726500 60818398 67158125 102080350 121636796 134316250 152045995 204160700 255200875 268632500 304091990 510401750 577774781 608183980 760229975 1020803500 1155549562 1276004375 1520459950 2311099124 2552008750 2888873905 3040919900 3801149875 5104017500 5777747810 7602299750 11555495620 14444369525 15204599500 19005749375 28888739050 38011498750 57777478100 72221847625 76022997500 144443695250 288887390500 361109238125 722218476250 1444436952500