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141118392534208 = 26231912741183119
BaseRepresentation
bin100000000101100010101111…
…101010001000010011000000
3200111122210020102002212001121
4200011202233222020103000
5121444040431442043313
61220044521120242024
741503316215004245
oct4005425752102300
9614583212085047
10141118392534208
1140a67a79700431
12139b1834170314
13609853ab455bb
1426bc2493a15cc
15114ac2ea3228d
hex8058afa884c0

141118392534208 has 112 divisors (see below), whose sum is σ = 293845755248640. Its totient is φ = 67113186483200.

The previous prime is 141118392534187. The next prime is 141118392534257. The reversal of 141118392534208 is 802435293811141.

141118392534208 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1411183925342082 (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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 770546073 + ... + 770729191.

It is an arithmetic number, because the mean of its divisors is an integer number (2623622814720).

Almost surely, 2141118392534208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141118392534208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146922877624320).

141118392534208 is an abundant number, since it is smaller than the sum of its proper divisors (152727362714432).

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

141118392534208 is a wasteful number, since it uses less digits than its factorization.

141118392534208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186086 (or 186076 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 52.

The spelling of 141118392534208 in words is "one hundred forty-one trillion, one hundred eighteen billion, three hundred ninety-two million, five hundred thirty-four thousand, two hundred eight".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 191 368 382 736 764 1472 1528 2741 3056 4393 5482 6112 8786 10964 12224 17572 21928 35144 43856 63043 70288 87712 126086 140576 175424 183119 252172 281152 366238 504344 523531 732476 1008688 1047062 1464952 2017376 2094124 2929904 4034752 4188248 4211737 5859808 8376496 8423474 11719616 12041213 16752992 16846948 24082426 33505984 33693896 34975729 48164852 67387792 69951458 96329704 134775584 139902916 192659408 269551168 279805832 385318816 501929179 559611664 770637632 804441767 1003858358 1119223328 1608883534 2007716716 2238446656 3217767068 4015433432 6435534136 8030866864 11544371117 12871068272 16061733728 23088742234 25742136544 32123467456 46177484468 51484273088 92354968936 95868473189 184709937872 191736946378 369419875744 383473892756 738839751488 766947785512 1533895571024 2204974883347 3067791142048 4409949766694 6135582284096 8819899533388 17639799066776 35279598133552 70559196267104 141118392534208