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240112249048 = 237172192772819
BaseRepresentation
bin1101111110011111001…
…1100010100011011000
3211221202211120001202001
43133213303202203120
512413222213432143
6302150034450344
723230130304340
oct3374763424330
9757684501661
10240112249048
1192916117651
123a6511339b4
1319847713699
14b89b54bd20
1563a4c3014d
hex37e7ce28d8

240112249048 has 192 divisors, whose sum is σ = 577621728000. Its totient is φ = 91390851072.

The previous prime is 240112248973. The next prime is 240112249063. The reversal of 240112249048 is 840942211042.

It is a junction number, because it is equal to n+sod(n) for n = 240112248998 and 240112249016.

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, 85174983 + ... + 85177801.

It is an arithmetic number, because the mean of its divisors is an integer number (3008446500).

Almost surely, 2240112249048 is an apocalyptic number.

240112249048 is a gapful number since it is divisible by the number (28) 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 240112249048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288810864000).

240112249048 is an abundant number, since it is smaller than the sum of its proper divisors (337509478952).

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

240112249048 is a wasteful number, since it uses less digits than its factorization.

240112249048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3162 (or 3141 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The spelling of 240112249048 in words is "two hundred forty billion, one hundred twelve million, two hundred forty-nine thousand, forty-eight".