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118144459136640 = 2735479974913177
BaseRepresentation
bin11010110111001110100110…
…100001001101111010000000
3120111022111111111021200020110
4122313032212201031322000
5110441134323014333030
61055134452032311320
733612440556113556
oct3267164641157200
9514274444250213
10118144459136640
113470a869187962
12113012303a2540
1350bcc895245a1
14212631811bbd6
15d9d31dab51b0
hex6b73a684de80

118144459136640 has 256 divisors, whose sum is σ = 377439004800000. Its totient is φ = 31433805692928.

The previous prime is 118144459136629. The next prime is 118144459136663. The reversal of 118144459136640 is 46631954441811.

It is a happy number.

It is a super-2 number, since 2×1181444591366402 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8965953732 + ... + 8965966908.

It is an arithmetic number, because the mean of its divisors is an integer number (1474371112500).

Almost surely, 2118144459136640 is an apocalyptic number.

118144459136640 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 118144459136640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188719502400000).

118144459136640 is an abundant number, since it is smaller than the sum of its proper divisors (259294545663360).

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

118144459136640 is a wasteful number, since it uses less digits than its factorization.

118144459136640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23427 (or 23415 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 57.

The spelling of 118144459136640 in words is "one hundred eighteen trillion, one hundred forty-four billion, four hundred fifty-nine million, one hundred thirty-six thousand, six hundred forty".