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1431401201120 = 2551110110378179
BaseRepresentation
bin10100110101000110001…
…010001111110111100000
312001211200210220002102202
4110311012022033313200
5141423002201413440
63013324315232332
7205262312313242
oct24650612176740
95054623802382
101431401201120
11502065730480
121b14b94486a8
13a4c9937b357
144d3ccb9a092
1527379cb9615
hex14d4628fde0

1431401201120 has 192 divisors, whose sum is σ = 3761856483840. Its totient is φ = 510345984000.

The previous prime is 1431401201119. The next prime is 1431401201129. The reversal of 1431401201120 is 211021041341.

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

It is a junction number, because it is equal to n+sod(n) for n = 1431401201092 and 1431401201101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1431401201129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18270191 + ... + 18348369.

It is an arithmetic number, because the mean of its divisors is an integer number (19593002520).

Almost surely, 21431401201120 is an apocalyptic number.

1431401201120 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 1431401201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880928241920).

1431401201120 is an abundant number, since it is smaller than the sum of its proper divisors (2330455282720).

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

1431401201120 is a wasteful number, since it uses less digits than its factorization.

1431401201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78409 (or 78401 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 1431401201120 its reverse (211021041341), we get a palindrome (1642422242461).

The spelling of 1431401201120 in words is "one trillion, four hundred thirty-one billion, four hundred one million, two hundred one thousand, one hundred twenty".