Search a number
-
+
1444301428660 = 2252989277101009
BaseRepresentation
bin10101000001000111000…
…100101101011110110100
312010001222211221112210221
4111001013010231132310
5142130412131204120
63023300344024124
7206230064404126
oct25010704553664
95101884845727
101444301428660
1150758555a352
121b3ab9762044
13a6273b88c9c
144dc94193216
15278825ae0aa
hex1504712d7b4

1444301428660 has 96 divisors (see below), whose sum is σ = 3184360452000. Its totient is φ = 549535236096.

The previous prime is 1444301428637. The next prime is 1444301428733. The reversal of 1444301428660 is 668241034441.

It can be written as a sum of positive squares in 16 ways, for example, as 1128158373904 + 316143054756 = 1062148^2 + 562266^2 .

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 14248236 + ... + 14349244.

It is an arithmetic number, because the mean of its divisors is an integer number (33170421375).

Almost surely, 21444301428660 is an apocalyptic number.

1444301428660 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 1444301428660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592180226000).

1444301428660 is an abundant number, since it is smaller than the sum of its proper divisors (1740059023340).

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

1444301428660 is a wasteful number, since it uses less digits than its factorization.

1444301428660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101413 (or 101411 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 43.

The spelling of 1444301428660 in words is "one trillion, four hundred forty-four billion, three hundred one million, four hundred twenty-eight thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 29 58 89 116 145 178 277 290 356 445 554 580 890 1108 1385 1780 2581 2770 5162 5540 8033 10324 12905 16066 24653 25810 32132 40165 49306 51620 80330 98612 101009 123265 160660 202018 246530 404036 493060 505045 714937 1010090 1429874 2020180 2859748 2929261 3574685 5858522 7149370 8989801 11717044 14298740 14646305 17979602 27979493 29292610 35959204 44949005 55958986 58585220 89898010 111917972 139897465 179796020 260704229 279794930 521408458 559589860 811405297 1042816916 1303521145 1622810594 2490174877 2607042290 3245621188 4057026485 4980349754 5214084580 8114052970 9960699508 12450874385 16228105940 24901748770 49803497540 72215071433 144430142866 288860285732 361075357165 722150714330 1444301428660