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244424022040 = 235112376913399
BaseRepresentation
bin1110001110100011001…
…1101001100000011000
3212100220022220211100001
43203220303221200120
513001040022201130
6304141543022344
723442024623152
oct3435063514030
9770808824301
10244424022040
1194728a96500
123b45513a9b4
131a083ac5753
14bb8a05bad2
15655853c6ca
hex38e8ce9818

244424022040 has 96 divisors (see below), whose sum is σ = 604700460000. Its totient is φ = 88851248640.

The previous prime is 244424021917. The next prime is 244424022043. The reversal of 244424022040 is 40220424442.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244424022043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18235261 + ... + 18248659.

It is an arithmetic number, because the mean of its divisors is an integer number (6298963125).

Almost surely, 2244424022040 is an apocalyptic number.

244424022040 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 244424022040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302350230000).

244424022040 is an abundant number, since it is smaller than the sum of its proper divisors (360276437960).

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

244424022040 is a wasteful number, since it uses less digits than its factorization.

244424022040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17201 (or 17186 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 244424022040 its reverse (40220424442), we get a palindrome (284644446482).

It can be divided in two parts, 24442402 and 2040, that added together give a palindrome (24444442).

The spelling of 244424022040 in words is "two hundred forty-four billion, four hundred twenty-four million, twenty-two thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 3769 4840 7538 13399 15076 18845 26798 30152 37690 41459 53596 66995 75380 82918 107192 133990 147389 150760 165836 207295 267980 294778 331672 414590 456049 535960 589556 736945 829180 912098 1179112 1473890 1621279 1658360 1824196 2280245 2947780 3242558 3648392 4560490 5895560 6485116 8106395 9120980 12970232 16212790 18241960 32425580 50500831 64851160 101001662 202003324 252504155 404006648 505008310 555509141 1010016620 1111018282 2020033240 2222036564 2777545705 4444073128 5555091410 6110600551 11110182820 12221201102 22220365640 24442402204 30553002755 48884804408 61106005510 122212011020 244424022040