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114034313359680 = 2635716969391869
BaseRepresentation
bin11001111011011010101110…
…101111010111000101000000
3112221202120111100212202112120
4121323122232233113011000
5104421314233210002210
61042310350152124240
733006464406336330
oct3173325657270500
9487676440782476
10114034313359680
113337575402885a
1210958744996680
134b8250ac7b2cc
14202340c4cd0c0
15d2b462d19270
hex67b6aebd7140

114034313359680 has 112 divisors (see below), whose sum is σ = 413781651358080. Its totient is φ = 26064985909248.

The previous prime is 114034313359667. The next prime is 114034313359691. The reversal of 114034313359680 is 86953313430411.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

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, 8484689215 + ... + 8484702654.

Almost surely, 2114034313359680 is an apocalyptic number.

114034313359680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114034313359680 is an abundant number, since it is smaller than the sum of its proper divisors (299747337998400).

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

114034313359680 is a wasteful number, since it uses less digits than its factorization.

114034313359680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16969391896 (or 16969391886 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 51.

The spelling of 114034313359680 in words is "one hundred fourteen trillion, thirty-four billion, three hundred thirteen million, three hundred fifty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 16969391869 33938783738 50908175607 67877567476 84846959345 101816351214 118785743083 135755134952 169693918690 203632702428 237571486166 254540878035 271510269904 339387837380 356357229249 407265404856 475142972332 509081756070 543020539808 593928715415 678775674760 712714458498 814530809712 950285944664 1018163512140 1086041079616 1187857430830 1357551349520 1425428916996 1629061619424 1781786146245 1900571889328 2036327024280 2375714861660 2715102699040 2850857833992 3258123238848 3563572292490 3801143778656 4072654048560 4751429723320 5430205398080 5701715667984 7127144584980 7602287557312 8145308097120 9502859446640 11403431335968 14254289169960 16290616194240 19005718893280 22806862671936 28508578339920 38011437786560 57017156679840 114034313359680