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245093104440 = 233252979297169
BaseRepresentation
bin1110010001000010101…
…1111111101100111000
3212102121221220201211200
43210100223333230320
513003422313320230
6304332203454200
723464431004542
oct3442053775470
9772557821750
10245093104440
1194a41738a68
123b601227360
131a15c5cb2b2
14bc10c68692
156597154160
hex3910affb38

245093104440 has 192 divisors, whose sum is σ = 834453360000. Its totient is φ = 62305431552.

The previous prime is 245093104439. The next prime is 245093104453. The reversal of 245093104440 is 44401390542.

245093104440 is a `hidden beast` number, since 2 + 4 + 509 + 3 + 104 + 4 + 40 = 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 = 245093104395 and 245093104404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 676176 + ... + 973344.

It is an arithmetic number, because the mean of its divisors is an integer number (4346111250).

Almost surely, 2245093104440 is an apocalyptic number.

245093104440 is a gapful number since it is divisible by the number (20) 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 245093104440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417226680000).

245093104440 is an abundant number, since it is smaller than the sum of its proper divisors (589360255560).

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

245093104440 is a wasteful number, since it uses less digits than its factorization.

245093104440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297294 (or 297287 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 245093104440 its reverse (44401390542), we get a palindrome (289494494982).

The spelling of 245093104440 in words is "two hundred forty-five billion, ninety-three million, one hundred four thousand, four hundred forty".