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244011301440 = 26351201211639
BaseRepresentation
bin1110001101000000110…
…1001111101001000000
3212022211120022110002220
43203100031033221000
512444213343121230
6304033001011040
723425553561124
oct3432015175100
9768746273086
10244011301440
11945370223a5
123b35aa83a80
131a01944c18a
14bb4b305584
1565321b4d10
hex38d034fa40

244011301440 has 112 divisors (see below), whose sum is σ = 775384621440. Its totient is φ = 65015193600.

The previous prime is 244011301423. The next prime is 244011301477. The reversal of 244011301440 is 44103110442.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 244011301440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1047141 + ... + 1258779.

Almost surely, 2244011301440 is an apocalyptic number.

244011301440 is a gapful number since it is divisible by the number (20) 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 244011301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387692310720).

244011301440 is an abundant number, since it is smaller than the sum of its proper divisors (531373320000).

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

244011301440 is a wasteful number, since it uses less digits than its factorization.

244011301440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212860 (or 212850 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 244011301440 its reverse (44103110442), we get a palindrome (288114411882).

The spelling of 244011301440 in words is "two hundred forty-four billion, eleven million, three hundred one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 1201 2402 3603 4804 6005 7206 9608 12010 14412 18015 19216 24020 28824 36030 38432 48040 57648 72060 76864 96080 115296 144120 192160 211639 230592 288240 384320 423278 576480 634917 846556 1058195 1152960 1269834 1693112 2116390 2539668 3174585 3386224 4232780 5079336 6349170 6772448 8465560 10158672 12698340 13544896 16931120 20317344 25396680 33862240 40634688 50793360 67724480 101586720 203173440 254178439 508356878 762535317 1016713756 1270892195 1525070634 2033427512 2541784390 3050141268 3812676585 4066855024 5083568780 6100282536 7625353170 8133710048 10167137560 12200565072 15250706340 16267420096 20334275120 24401130144 30501412680 40668550240 48802260288 61002825360 81337100480 122005650720 244011301440