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244120013440 = 2751920075659
BaseRepresentation
bin1110001101011010101…
…1111100101010000000
3212100010010212120221021
43203112223330222000
512444424210412230
6304051443035224
723431343606542
oct3432653745200
9770103776837
10244120013440
1194592424326
123b38b36bb14
131a035b231c4
14bb5b923692
15653b9dac7a
hex38d6afca80

244120013440 has 64 divisors (see below), whose sum is σ = 614315196000. Its totient is φ = 92508632064.

The previous prime is 244120013419. The next prime is 244120013441. The reversal of 244120013440 is 44310021442.

244120013440 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (244120013441) 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 7 ways as a sum of consecutive naturals, for example, 10025670 + ... + 10049989.

Almost surely, 2244120013440 is an apocalyptic number.

244120013440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

244120013440 is an abundant number, since it is smaller than the sum of its proper divisors (370195182560).

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

244120013440 is a wasteful number, since it uses less digits than its factorization.

244120013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20075697 (or 20075685 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 244120013440 its reverse (44310021442), we get a palindrome (288430034882).

The spelling of 244120013440 in words is "two hundred forty-four billion, one hundred twenty million, thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 304 320 380 608 640 760 1216 1520 2432 3040 6080 12160 20075659 40151318 80302636 100378295 160605272 200756590 321210544 381437521 401513180 642421088 762875042 803026360 1284842176 1525750084 1606052720 1907187605 2569684352 3051500168 3212105440 3814375210 6103000336 6424210880 7628750420 12206000672 12848421760 15257500840 24412001344 30515001680 48824002688 61030003360 122060006720 244120013440