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11342239040160 = 2532572945078609
BaseRepresentation
bin1010010100001101001000…
…1000010000001010100000
31111011022022010210021020100
42211003102020100022200
52441312401143241120
640042315213542400
72250310154055450
oct245032210201240
944138263707210
1011342239040160
113683242279266
121332250aa4a00
13643751155542
142b2d783a5d60
1514a0871ce490
hexa50d22102a0

11342239040160 has 576 divisors, whose sum is σ = 45775537516800. Its totient is φ = 2502268747776.

The previous prime is 11342239040147. The next prime is 11342239040183. The reversal of 11342239040160 is 6104093224311.

11342239040160 is a `hidden beast` number, since 1 + 1 + 3 + 422 + 39 + 0 + 40 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1317481936 + ... + 1317490544.

It is an arithmetic number, because the mean of its divisors is an integer number (79471419300).

Almost surely, 211342239040160 is an apocalyptic number.

11342239040160 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 11342239040160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22887768758400).

11342239040160 is an abundant number, since it is smaller than the sum of its proper divisors (34433298476640).

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

11342239040160 is a wasteful number, since it uses less digits than its factorization.

11342239040160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13173 (or 13162 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 11342239040160 in words is "eleven trillion, three hundred forty-two billion, two hundred thirty-nine million, forty thousand, one hundred sixty".