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244124314000 = 2453791119141
BaseRepresentation
bin1110001101011011110…
…0010110100110010000
3212100010102222002012021
43203112330112212100
512444431311022000
6304052115141224
723431425300610
oct3432674264620
9770112862167
10244124314000
11945948a1406
123b3908a4814
131a03699a808
14bb5c322a40
15653c08a11a
hex38d6f16990

244124314000 has 160 divisors (see below), whose sum is σ = 675395914752. Its totient is φ = 83603520000.

The previous prime is 244124313991. The next prime is 244124314019. The reversal of 244124314000 is 413421442.

244124314000 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 (25).

It is an unprimeable number.

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, 12744430 + ... + 12763570.

Almost surely, 2244124314000 is an apocalyptic number.

244124314000 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 244124314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337697957376).

244124314000 is an abundant number, since it is smaller than the sum of its proper divisors (431271600752).

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

244124314000 is a wasteful number, since it uses less digits than its factorization.

244124314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20082 (or 20066 counting only the distinct ones).

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

Adding to 244124314000 its reverse (413421442), we get a palindrome (244537735442).

The spelling of 244124314000 in words is "two hundred forty-four billion, one hundred twenty-four million, three hundred fourteen thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 911 1000 1400 1750 1822 2000 2800 3500 3644 4555 6377 7000 7288 9110 12754 14000 14576 18220 19141 22775 25508 31885 36440 38282 45550 51016 63770 72880 76564 91100 95705 102032 113875 127540 133987 153128 159425 182200 191410 227750 255080 267974 306256 318850 364400 382820 455500 478525 510160 535948 637700 669935 765640 797125 911000 957050 1071896 1275400 1339870 1531280 1594250 1822000 1914100 2143792 2392625 2550800 2679740 3188500 3349675 3828200 4785250 5359480 6377000 6699350 7656400 9570500 10718960 12754000 13398700 16748375 17437451 19141000 26797400 33496750 34874902 38282000 53594800 66993500 69749804 87187255 122062157 133987000 139499608 174374510 244124314 267974000 278999216 348749020 435936275 488248628 610310785 697498040 871872550 976497256 1220621570 1394996080 1743745100 1952994512 2179681375 2441243140 3051553925 3487490200 4359362750 4882486280 6103107850 6974980400 8718725500 9764972560 12206215700 15257769625 17437451000 24412431400 30515539250 34874902000 48824862800 61031078500 122062157000 244124314000