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10143324144144 = 2432307229445443
BaseRepresentation
bin1001001110011010110100…
…1110111000001000010000
31022220200200200220011002100
42103212231032320020100
52312142011440103034
633323440114520400
72064555012435042
oct223465516701020
938820620804070
1010143324144144
11326083a052924
121179a16896100
135876856042c9
14270d2201da92
15128cb78d6099
hex939ad3b8210

10143324144144 has 60 divisors (see below), whose sum is σ = 28479686291056. Its totient is φ = 3370094652096.

The previous prime is 10143324144133. The next prime is 10143324144197. The reversal of 10143324144144 is 44144142334101.

10143324144144 is a `hidden beast` number, since 1 + 0 + 1 + 433 + 2 + 41 + 44 + 144 = 666.

It is a super-2 number, since 2×101433241441442 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10143324144099 and 10143324144108.

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 11 ways as a sum of consecutive naturals, for example, 114678514 + ... + 114766929.

Almost surely, 210143324144144 is an apocalyptic number.

It is an amenable number.

10143324144144 is an abundant number, since it is smaller than the sum of its proper divisors (18336362146912).

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

10143324144144 is a wasteful number, since it uses less digits than its factorization.

10143324144144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229445764 (or 229445755 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 10143324144144 its reverse (44144142334101), we get a palindrome (54287466478245).

The spelling of 10143324144144 in words is "ten trillion, one hundred forty-three billion, three hundred twenty-four million, one hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 307 614 921 1228 1842 2456 2763 3684 4912 5526 7368 11052 14736 22104 44208 229445443 458890886 688336329 917781772 1376672658 1835563544 2065008987 2753345316 3671127088 4130017974 5506690632 8260035948 11013381264 16520071896 33040143792 70439751001 140879502002 211319253003 281759004004 422638506006 563518008008 633957759009 845277012012 1127036016016 1267915518018 1690554024024 2535831036036 3381108048048 5071662072072 10143324144144