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1263112825140 = 22325172981117551
BaseRepresentation
bin10010011000010111011…
…001000010100100110100
311110202022111121211001200
4102120113121002210310
5131143323340401030
62404133243252500
7160154053602465
oct22302731024464
94422274554050
101263112825140
11447757295811
12184971b1a130
1392159c1065a
14451c6592d6c
1522cca86bd60
hex12617642934

1263112825140 has 288 divisors, whose sum is σ = 4202125724160. Its totient is φ = 305690112000.

The previous prime is 1263112825081. The next prime is 1263112825187. The reversal of 1263112825140 is 415282113621.

1263112825140 is a `hidden beast` number, since 1 + 2 + 63 + 1 + 1 + 2 + 82 + 514 + 0 = 666.

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 = 1263112825095 and 1263112825104.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 71959365 + ... + 71976915.

It is an arithmetic number, because the mean of its divisors is an integer number (14590714320).

Almost surely, 21263112825140 is an apocalyptic number.

1263112825140 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 1263112825140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2101062862080).

1263112825140 is an abundant number, since it is smaller than the sum of its proper divisors (2939012899020).

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

1263112825140 is a wasteful number, since it uses less digits than its factorization.

1263112825140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18423 (or 18418 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Adding to 1263112825140 its reverse (415282113621), we get a palindrome (1678394938761).

The spelling of 1263112825140 in words is "one trillion, two hundred sixty-three billion, one hundred twelve million, eight hundred twenty-five thousand, one hundred forty".