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244134240400 = 24524721129281
BaseRepresentation
bin1110001101011110001…
…0001110000010010000
3212100011010122101122201
43203113202032002100
512444441331143100
6304053112012544
723431605542551
oct3432742160220
9770133571581
10244134240400
119459a461246
123b394091154
131a038a64a1b
14bb5d788328
15653cd9b36a
hex38d788e090

244134240400 has 60 divisors (see below), whose sum is σ = 586661289444. Its totient is φ = 97632256000.

The previous prime is 244134240391. The next prime is 244134240421. The reversal of 244134240400 is 4042431442.

It can be written as a sum of positive squares in 6 ways, for example, as 11158119424 + 232976120976 = 105632^2 + 482676^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1823760 + ... + 1953040.

Almost surely, 2244134240400 is an apocalyptic number.

244134240400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

244134240400 is an abundant number, since it is smaller than the sum of its proper divisors (342527049044).

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

244134240400 is a wasteful number, since it uses less digits than its factorization.

244134240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134020 (or 134009 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 244134240400 its reverse (4042431442), we get a palindrome (248176671842).

The spelling of 244134240400 in words is "two hundred forty-four billion, one hundred thirty-four million, two hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 4721 9442 18884 23605 37768 47210 75536 94420 118025 129281 188840 236050 258562 377680 472100 517124 646405 944200 1034248 1292810 1888400 2068496 2585620 3232025 5171240 6464050 10342480 12928100 25856200 51712400 610335601 1220671202 2441342404 3051678005 4882684808 6103356010 9765369616 12206712020 15258390025 24413424040 30516780050 48826848080 61033560100 122067120200 244134240400