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244313131440 = 24357145424483
BaseRepresentation
bin1110001110001000110…
…0101000100110110000
3212100121121021000000210
43203202030220212300
513000323130201230
6304122542144120
723436210232020
oct3434214504660
9770547230023
10244313131440
1194681436784
123b423b82040
131a066b3ac01
14bb79433a80
15654d935eb0
hex38e23289b0

244313131440 has 80 divisors (see below), whose sum is σ = 865566528768. Its totient is φ = 55843001088.

The previous prime is 244313131429. The next prime is 244313131453. The reversal of 244313131440 is 44131313442.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 244313131398 and 244313131407.

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, 72710562 + ... + 72713921.

Almost surely, 2244313131440 is an apocalyptic number.

244313131440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

244313131440 is an abundant number, since it is smaller than the sum of its proper divisors (621253397328).

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

244313131440 is a wasteful number, since it uses less digits than its factorization.

244313131440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145424506 (or 145424500 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 244313131440 its reverse (44131313442), we get a palindrome (288444444882).

The spelling of 244313131440 in words is "two hundred forty-four billion, three hundred thirteen million, one hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 145424483 290848966 436273449 581697932 727122415 872546898 1017971381 1163395864 1454244830 1745093796 2035942762 2181367245 2326791728 2908489660 3053914143 3490187592 4071885524 4362734490 5089856905 5816979320 6107828286 6980375184 8143771048 8725468980 10179713810 11633958640 12215656572 15269570715 16287542096 17450937960 20359427620 24431313144 30539141430 34901875920 40718855240 48862626288 61078282860 81437710480 122156565720 244313131440