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31144230000 = 2433541319467
BaseRepresentation
bin11101000000010101…
…110011110001110000
32222101111100210212000
4131000111303301300
51002240410330000
622150224534000
72151532405242
oct350025636160
988344323760
1031144230000
1112232118a64
126052181300
132c24460a80
1417163bc092
15c242ea000
hex740573c70

31144230000 has 800 divisors, whose sum is σ = 126904377600. Its totient is φ = 7247232000.

The previous prime is 31144229971. The next prime is 31144230001. The reversal of 31144230000 is 3244113.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31144230001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 66689767 + ... + 66690233.

It is an arithmetic number, because the mean of its divisors is an integer number (158630472).

Almost surely, 231144230000 is an apocalyptic number.

31144230000 is a gapful number since it is divisible by the number (30) 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 31144230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63452188800).

31144230000 is an abundant number, since it is smaller than the sum of its proper divisors (95760147600).

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

31144230000 is a wasteful number, since it uses less digits than its factorization.

31144230000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 31144230000 its reverse (3244113), we get a palindrome (31147474113).

The spelling of 31144230000 in words is "thirty-one billion, one hundred forty-four million, two hundred thirty thousand".