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10143214400000 = 295511576319
BaseRepresentation
bin1001001110011010011010…
…1100001111001000000000
31022220200102001101120102102
42103212212230033020000
52312141300341300000
633323421154405532
72064552210560213
oct223464654171000
938820361346372
1010143214400000
113260793106490
1211799a5b908a8
1358766895b546
14270d1161377a
15128cace593d5
hex939a6b0f200

10143214400000 has 240 divisors, whose sum is σ = 27634576273920. Its totient is φ = 3688435200000.

The previous prime is 10143214399991. The next prime is 10143214400023. The reversal of 10143214400000 is 441234101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17311841 + ... + 17888159.

It is an arithmetic number, because the mean of its divisors is an integer number (115144067808).

Almost surely, 210143214400000 is an apocalyptic number.

10143214400000 is a gapful number since it is divisible by the number (10) 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 10143214400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13817288136960).

10143214400000 is an abundant number, since it is smaller than the sum of its proper divisors (17491361873920).

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

10143214400000 is an frugal number, since it uses more digits than its factorization.

10143214400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576373 (or 576337 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10143214400000 its reverse (441234101), we get a palindrome (10143655634101).

The spelling of 10143214400000 in words is "ten trillion, one hundred forty-three billion, two hundred fourteen million, four hundred thousand".