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31424234141344 = 2511296538815351
BaseRepresentation
bin1110010010100100001100…
…10100000011011010100000
311010021010102220111111012111
413021102012110003122200
513104323312420010334
6150500032135405104
76422216550011452
oct711220624033240
9133233386444174
1031424234141344
11a015a40a43430
123636288523794
13146c3a59c1715
147a8d263402d2
1539763a77a064
hex1c94865036a0

31424234141344 has 192 divisors, whose sum is σ = 70017320782080. Its totient is φ = 13751879680000.

The previous prime is 31424234141323. The next prime is 31424234141347. The reversal of 31424234141344 is 44314143242413.

It is a junction number, because it is equal to n+sod(n) for n = 31424234141297 and 31424234141306.

It is not an unprimeable number, because it can be changed into a prime (31424234141347) 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 31 ways as a sum of consecutive naturals, for example, 5872588269 + ... + 5872593619.

It is an arithmetic number, because the mean of its divisors is an integer number (364673545740).

Almost surely, 231424234141344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31424234141344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35008660391040).

31424234141344 is an abundant number, since it is smaller than the sum of its proper divisors (38593086640736).

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

31424234141344 is a wasteful number, since it uses less digits than its factorization.

31424234141344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6935 (or 6927 counting only the distinct ones).

The product of its digits is 442368, while the sum is 40.

Adding to 31424234141344 its reverse (44314143242413), we get a palindrome (75738377383757).

The spelling of 31424234141344 in words is "thirty-one trillion, four hundred twenty-four billion, two hundred thirty-four million, one hundred forty-one thousand, three hundred forty-four".