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171140084530704 = 2432547219932
BaseRepresentation
bin100110111010011010100111…
…111100011111111000010000
3211102221211110202010012122100
4212322122213330133320100
5134412424343114440304
61403552400334240400
751022314556336662
oct4672324774377020
9742854422105570
10171140084530704
114a592114117513
1217240118056100
137465596365b23
14303931d634532
1514bbb2dd99439
hex9ba6a7f1fe10

171140084530704 has 135 divisors (see below), whose sum is σ = 480072624643053. Its totient is φ = 56913833523456.

The previous prime is 171140084530673. The next prime is 171140084530711. The reversal of 171140084530704 is 407035480041171.

The square root of 171140084530704 is 13082052.

It is a perfect power (a square), and thus also a powerful number.

171140084530704 is a `hidden beast` number, since 1 + 7 + 1 + 1 + 40 + 0 + 8 + 4 + 530 + 70 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 125252358224400 + 45887726306304 = 11191620^2 + 6774048^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 171140084530704.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 85870588332 + ... + 85870590324.

Almost surely, 2171140084530704 is an apocalyptic number.

171140084530704 is the 13082052-nd square number.

It is an amenable number.

171140084530704 is an abundant number, since it is smaller than the sum of its proper divisors (308932540112349).

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

171140084530704 is an frugal number, since it uses more digits than its factorization.

171140084530704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5094 (or 2545 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 171140084530704 in words is "one hundred seventy-one trillion, one hundred forty billion, eighty-four million, five hundred thirty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 547 1094 1641 1993 2188 3282 3986 4376 4923 5979 6564 7972 8752 9846 11958 13128 15944 17937 19692 23916 26256 31888 35874 39384 47832 71748 78768 95664 143496 286992 299209 598418 897627 1090171 1196836 1795254 2180342 2393672 2692881 3270513 3590508 3972049 4360684 4787344 5385762 6541026 7181016 7944098 8721368 9811539 10771524 11916147 13082052 14362032 15888196 17442736 19623078 21543048 23832294 26164104 31776392 35748441 39246156 43086096 47664588 52328208 63552784 71496882 78492312 95329176 142993764 156984624 190658352 285987528 571975056 596323537 1192647074 1788970611 2172710803 2385294148 3577941222 4345421606 4770588296 5366911833 6518132409 7155882444 8690843212 9541176592 10733823666 13036264818 14311764888 17381686424 19554397227 21467647332 26072529636 28623529776 34763372848 39108794454 42935294664 52145059272 78217588908 85870589328 104290118544 156435177816 312870355632 1188472809241 2376945618482 3565418427723 4753891236964 7130836855446 9507782473928 10696255283169 14261673710892 19015564947856 21392510566338 28523347421784 42785021132676 57046694843568 85570042265352 171140084530704