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243360141640 = 235711267107209
BaseRepresentation
bin1110001010100101100…
…1010001000101001000
3212021011012001002210021
43202221121101011020
512441400144013030
6303444220230224
723403456034060
oct3425131210510
9767135032707
10243360141640
1194232501400
123b1b899b374
1319c44580315
14bac8a423a0
1564e4e3d97a
hex38a9651148

243360141640 has 192 divisors, whose sum is σ = 698117212800. Its totient is φ = 74719687680.

The previous prime is 243360141623. The next prime is 243360141641. The reversal of 243360141640 is 46141063342.

It is a junction number, because it is equal to n+sod(n) for n = 243360141596 and 243360141605.

It is not an unprimeable number, because it can be changed into a prime (243360141641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2216356 + ... + 2323564.

It is an arithmetic number, because the mean of its divisors is an integer number (3636027150).

Almost surely, 2243360141640 is an apocalyptic number.

243360141640 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 243360141640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349058606400).

243360141640 is an abundant number, since it is smaller than the sum of its proper divisors (454757071160).

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

243360141640 is a wasteful number, since it uses less digits than its factorization.

243360141640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107316 (or 107301 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The spelling of 243360141640 in words is "two hundred forty-three billion, three hundred sixty million, one hundred forty-one thousand, six hundred forty".