Search a number
-
+
114017976689280 = 2735126534693303
BaseRepresentation
bin11001111011001011100000…
…111111111010001010000000
3112221201000022211112220202220
4121323023200333322022000
5104421032304013024110
61042255045124411040
733005345516046546
oct3173134077721200
9487630284486686
10114017976689280
1133369830442564
1210955545846a80
134b80b06528131
1420226dc95dd96
15d2ad089be370
hex67b2e0ffa280

114017976689280 has 128 divisors (see below), whose sum is σ = 363461101153920. Its totient is φ = 30402384334848.

The previous prime is 114017976689273. The next prime is 114017976689297. The reversal of 114017976689280 is 82986679710411.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21947109 + ... + 26640411.

It is an arithmetic number, because the mean of its divisors is an integer number (2839539852765).

Almost surely, 2114017976689280 is an apocalyptic number.

114017976689280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114017976689280 is an abundant number, since it is smaller than the sum of its proper divisors (249443124464640).

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

114017976689280 is a wasteful number, since it uses less digits than its factorization.

114017976689280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4705978 (or 4705966 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 69.

The spelling of 114017976689280 in words is "one hundred fourteen trillion, seventeen billion, nine hundred seventy-six million, six hundred eighty-nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 12653 25306 37959 50612 63265 75918 101224 126530 151836 189795 202448 253060 303672 379590 404896 506120 607344 759180 809792 1012240 1214688 1518360 1619584 2024480 2429376 3036720 4048960 4693303 4858752 6073440 8097920 9386606 12146880 14079909 18773212 23466515 24293760 28159818 37546424 46933030 56319636 70399545 75092848 93866060 112639272 140799090 150185696 187732120 225278544 281598180 300371392 375464240 450557088 563196360 600742784 750928480 901114176 1126392720 1501856960 1802228352 2252785440 3003713920 4505570880 9011141760 59384362859 118768725718 178153088577 237537451436 296921814295 356306177154 475074902872 593843628590 712612354308 890765442885 950149805744 1187687257180 1425224708616 1781530885770 1900299611488 2375374514360 2850449417232 3563061771540 3800599222976 4750749028720 5700898834464 7126123543080 7601198445952 9501498057440 11401797668928 14252247086160 19002996114880 22803595337856 28504494172320 38005992229760 57008988344640 114017976689280