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11342125232640 = 29355235314957
BaseRepresentation
bin1010010100001100101101…
…0110000111001000000000
31111011022000012122020200000
42211003023112013020000
52441312133024421030
640042300030400000
72250304302525216
oct245031326071000
944138005566600
1011342125232640
113683194006a64
12133221a960000
136437336b9107
142b2d6721ccb6
1514a07c1ed860
hexa50cb587200

11342125232640 has 960 divisors, whose sum is σ = 43311856363776. Its totient is φ = 2838287941632.

The previous prime is 11342125232639. The next prime is 11342125232651. The reversal of 11342125232640 is 4623252124311.

It is a happy number.

11342125232640 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 2 + 1 + 2 + 5 + 2 + 3 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 = 11342125232595 and 11342125232604.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 758308042 + ... + 758322998.

Almost surely, 211342125232640 is an apocalyptic number.

11342125232640 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 11342125232640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21655928181888).

11342125232640 is an abundant number, since it is smaller than the sum of its proper divisors (31969731131136).

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

11342125232640 is an equidigital number, since it uses as much as digits as its factorization.

11342125232640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15071 (or 15043 counting only the distinct ones).

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

Adding to 11342125232640 its reverse (4623252124311), we get a palindrome (15965377356951).

The spelling of 11342125232640 in words is "eleven trillion, three hundred forty-two billion, one hundred twenty-five million, two hundred thirty-two thousand, six hundred forty".