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140184360064 = 2771391125581
BaseRepresentation
bin1000001010001110100…
…0111001010010000000
3111101211200121100012201
42002203220321102000
54244044144010224
6144222205202544
713061620254130
oct2024350712200
9441750540181
10140184360064
11544a7464631
1223203560454
13102b0b315a8
146adbcdcac0
1539a6edba44
hex20a3a39480

140184360064 has 64 divisors (see below), whose sum is σ = 321466219200. Its totient is φ = 59646735360.

The previous prime is 140184360037. The next prime is 140184360067. The reversal of 140184360064 is 460063481041.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (140184360067) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 438247 + ... + 687334.

It is an arithmetic number, because the mean of its divisors is an integer number (5022909675).

Almost surely, 2140184360064 is an apocalyptic number.

140184360064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

140184360064 is an abundant number, since it is smaller than the sum of its proper divisors (181281859136).

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

140184360064 is a wasteful number, since it uses less digits than its factorization.

140184360064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125741 (or 1125729 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The spelling of 140184360064 in words is "one hundred forty billion, one hundred eighty-four million, three hundred sixty thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 139 224 278 448 556 896 973 1112 1946 2224 3892 4448 7784 8896 15568 17792 31136 62272 124544 1125581 2251162 4502324 7879067 9004648 15758134 18009296 31516268 36018592 63032536 72037184 126065072 144074368 156455759 252130144 312911518 504260288 625823036 1008520576 1095190313 1251646072 2190380626 2503292144 4380761252 5006584288 8761522504 10013168576 17523045008 20026337152 35046090016 70092180032 140184360064