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124243444000 = 2553132389297
BaseRepresentation
bin111001110110101111…
…1001000000100100000
3102212200201221220100001
41303231133020010200
54013422310202000
6133024320105344
711655603564154
oct1635537100440
9385621856301
10124243444000
1148767204435
12200b4a65254
13b940394390
146028b4b064
1533727b746a
hex1ced7c8120

124243444000 has 96 divisors (see below), whose sum is σ = 328748290416. Its totient is φ = 45874483200.

The previous prime is 124243443953. The next prime is 124243444001. The reversal of 124243444000 is 444342421.

It can be written as a sum of positive squares in 8 ways, for example, as 150700176 + 124092743824 = 12276^2 + 352268^2 .

It is a super-2 number, since 2×1242434440002 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 124243444000.

It is not an unprimeable number, because it can be changed into a prime (124243444001) 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 15 ways as a sum of consecutive naturals, for example, 1142649 + ... + 1246648.

Almost surely, 2124243444000 is an apocalyptic number.

124243444000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

124243444000 is an abundant number, since it is smaller than the sum of its proper divisors (204504846416).

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

124243444000 is a wasteful number, since it uses less digits than its factorization.

124243444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2389335 (or 2389317 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 124243444000 its reverse (444342421), we get a palindrome (124687786421).

The spelling of 124243444000 in words is "one hundred twenty-four billion, two hundred forty-three million, four hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 125 130 160 200 208 250 260 325 400 416 500 520 650 800 1000 1040 1300 1625 2000 2080 2600 3250 4000 5200 6500 10400 13000 26000 52000 2389297 4778594 9557188 11946485 19114376 23892970 31060861 38228752 47785940 59732425 62121722 76457504 95571880 119464850 124243444 155304305 191143760 238929700 248486888 298662125 310608610 382287520 477859400 496973776 597324250 621217220 776521525 955718800 993947552 1194648500 1242434440 1553043050 1911437600 2389297000 2484868880 3106086100 3882607625 4778594000 4969737760 6212172200 7765215250 9557188000 12424344400 15530430500 24848688800 31060861000 62121722000 124243444000