Search a number
-
+
44127001343360 = 275138111653893
BaseRepresentation
bin10100000100010000111100…
…01111010111010110000000
312210020111111121001102021102
422002020132033113112000
521240434044320441420
6233503355313513532
712203033141465045
oct1202103617272600
9183214447042242
1044127001343360
1113073179962741
124b481375728a8
131b81209c33a80
14ac7a8894b1cc
15517ca065ea75
hex28221e3d7580

44127001343360 has 128 divisors (see below), whose sum is σ = 113619993701760. Its totient is φ = 16291012976640.

The previous prime is 44127001343353. The next prime is 44127001343363. The reversal of 44127001343360 is 6334310072144.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44127001343363) 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 15 ways as a sum of consecutive naturals, for example, 67156574 + ... + 67810466.

It is an arithmetic number, because the mean of its divisors is an integer number (887656200795).

Almost surely, 244127001343360 is an apocalyptic number.

44127001343360 is a gapful number since it is divisible by the number (40) 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 44127001343360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56809996850880).

44127001343360 is an abundant number, since it is smaller than the sum of its proper divisors (69492992358400).

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

44127001343360 is a wasteful number, since it uses less digits than its factorization.

44127001343360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662036 (or 662024 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 38.

The spelling of 44127001343360 in words is "forty-four trillion, one hundred twenty-seven billion, one million, three hundred forty-three thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1664 2080 4160 8111 8320 16222 32444 40555 64888 81110 105443 129776 162220 210886 259552 324440 421772 519104 527215 648880 653893 843544 1038208 1054430 1297760 1307786 1687088 2108860 2595520 2615572 3269465 3374176 4217720 5191040 5231144 6538930 6748352 8435440 8500609 10462288 13077860 13496704 16870880 17001218 20924576 26155720 33741760 34002436 41849152 42503045 52311440 67483520 68004872 83698304 85006090 104622880 136009744 170012180 209245760 272019488 340024360 418491520 544038976 680048720 1088077952 1360097440 2720194880 5303726123 5440389760 10607452246 21214904492 26518630615 42429808984 53037261230 68948439599 84859617968 106074522460 137896879198 169719235936 212149044920 275793758396 339438471872 344742197995 424298089840 551587516792 678876943744 689484395990 848596179680 1103175033584 1378968791980 1697192359360 2206350067168 2757937583960 3394384718720 4412700134336 5515875167920 8825400268672 11031750335840 22063500671680 44127001343360