Search a number
-
+
116014790940160 = 295726111247943
BaseRepresentation
bin11010011000001111001100…
…011001110001011000000000
3120012202220110020211221111211
4122120033030121301120000
5110201241242440041120
61050424243104015504
733302535446120410
oct3230171431613000
9505686406757454
10116014790940160
1133a69661a93932
121101853a901594
134c971bca70348
142091208294640
15d62c26e6625a
hex6983cc671600

116014790940160 has 160 divisors (see below), whose sum is σ = 317914701299712. Its totient is φ = 39774815969280.

The previous prime is 116014790940143. The next prime is 116014790940193. The reversal of 116014790940160 is 61049097410611.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 467785149 + ... + 468033091.

Almost surely, 2116014790940160 is an apocalyptic number.

116014790940160 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 116014790940160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158957350649856).

116014790940160 is an abundant number, since it is smaller than the sum of its proper divisors (201899910359552).

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

116014790940160 is an equidigital number, since it uses as much as digits as its factorization.

116014790940160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274084 (or 274068 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 49.

The spelling of 116014790940160 in words is "one hundred sixteen trillion, fourteen billion, seven hundred ninety million, nine hundred forty thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1120 1280 1792 2240 2560 3584 4480 8960 17920 26111 52222 104444 130555 182777 208888 247943 261110 365554 417776 495886 522220 731108 835552 913885 991772 1044440 1239715 1462216 1671104 1735601 1827770 1983544 2088880 2479430 2924432 3342208 3471202 3655540 3967088 4177760 4958860 5848864 6684416 6942404 7311080 7934176 8355520 8678005 9917720 11697728 13368832 13884808 14622160 15868352 16711040 17356010 19835440 23395456 27769616 29244320 31736704 33422080 34712020 39670880 46790912 55539232 58488640 63473408 66844160 69424040 79341760 93581824 111078464 116977280 126946816 138848080 158683520 222156928 233954560 277696160 317367040 444313856 467909120 555392320 634734080 888627712 1110784640 2221569280 4443138560 6474039673 12948079346 25896158692 32370198365 45318277711 51792317384 64740396730 90636555422 103584634768 129480793460 181273110844 207169269536 226591388555 258961586920 362546221688 414338539072 453182777110 517923173840 725092443376 828677078144 906365554220 1035846347680 1450184886752 1657354156288 1812731108440 2071692695360 2900369773504 3314708312576 3625462216880 4143385390720 5800739547008 7250924433760 8286770781440 11601479094016 14501848867520 16573541562880 23202958188032 29003697735040 58007395470080 116014790940160