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244045113240 = 233564710632957
BaseRepresentation
bin1110001101001000111…
…0001110011110011000
3212022220220221021011210
43203102032032132120
512444301022110430
6304040205423120
723426444143605
oct3432216163630
9768826837153
10244045113240
1194554116735
123b36a26aaa0
131a02345a166
14bb519c76ac
1565351432b0
hex38d238e798

244045113240 has 128 divisors (see below), whose sum is σ = 734204943360. Its totient is φ = 64895030784.

The previous prime is 244045113233. The next prime is 244045113241. The reversal of 244045113240 is 42311540442.

244045113240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 244045113198 and 244045113207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244045113241) 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 31 ways as a sum of consecutive naturals, for example, 82529842 + ... + 82532798.

It is an arithmetic number, because the mean of its divisors is an integer number (5735976120).

Almost surely, 2244045113240 is an apocalyptic number.

244045113240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

244045113240 is an abundant number, since it is smaller than the sum of its proper divisors (490159830120).

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

244045113240 is a wasteful number, since it uses less digits than its factorization.

244045113240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4681 (or 4677 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 244045113240 its reverse (42311540442), we get a palindrome (286356653682).

The spelling of 244045113240 in words is "two hundred forty-four billion, forty-five million, one hundred thirteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 647 1063 1294 1941 2126 2588 2957 3189 3235 3882 4252 5176 5315 5914 6378 6470 7764 8504 8871 9705 10630 11828 12756 12940 14785 15528 15945 17742 19410 21260 23656 25512 25880 29570 31890 35484 38820 42520 44355 59140 63780 70968 77640 88710 118280 127560 177420 354840 687761 1375522 1913179 2063283 2751044 3143291 3438805 3826358 4126566 5502088 5739537 6286582 6877610 7652716 8253132 9429873 9565895 10316415 11479074 12573164 13755220 15305432 15716455 16506264 18859746 19131790 20632830 22958148 25146328 27510440 28697685 31432910 37719492 38263580 41265660 45916296 47149365 57395370 62865820 75438984 76527160 82531320 94298730 114790740 125731640 188597460 229581480 377194920 2033709277 4067418554 6101127831 8134837108 10168546385 12202255662 16269674216 20337092770 24404511324 30505639155 40674185540 48809022648 61011278310 81348371080 122022556620 244045113240