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114120747476560 = 24511217693490201
BaseRepresentation
bin11001111100101011001110…
…100111010110011001010000
3112222001211121002220211121201
4121330223032213112121100
5104424223242323222220
61042414203031200544
733015644336244226
oct3174531647263120
9488054532824551
10114120747476560
11333a9378913100
1210971447516154
134b8a7040a7276
14202768b99cb16
15d2d8210c2d0a
hex67cace9d6650

114120747476560 has 120 divisors (see below), whose sum is σ = 308800091107368. Its totient is φ = 39057368064000.

The previous prime is 114120747476503. The next prime is 114120747476587. The reversal of 114120747476560 is 65674747021411.

It can be written as a sum of positive squares in 4 ways, for example, as 1740309747264 + 112380437729296 = 1319208^2 + 10600964^2 .

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 346580541 + ... + 346909660.

Almost surely, 2114120747476560 is an apocalyptic number.

114120747476560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114120747476560 is an abundant number, since it is smaller than the sum of its proper divisors (194679343630808).

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

114120747476560 is a wasteful number, since it uses less digits than its factorization.

114120747476560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693490253 (or 693490236 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 55.

The spelling of 114120747476560 in words is "one hundred fourteen trillion, one hundred twenty billion, seven hundred forty-seven million, four hundred seventy-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 121 136 170 176 187 220 242 272 340 374 440 484 605 680 748 880 935 968 1210 1360 1496 1870 1936 2057 2420 2992 3740 4114 4840 7480 8228 9680 10285 14960 16456 20570 32912 41140 82280 164560 693490201 1386980402 2773960804 3467451005 5547921608 6934902010 7628392211 11095843216 11789333417 13869804020 15256784422 23578666834 27739608040 30513568844 38141961055 47157333668 55479216080 58946667085 61027137688 76283922110 83912314321 94314667336 117893334170 122054275376 129682667587 152567844220 167824628642 188629334672 235786668340 259365335174 305135688440 335649257284 419561571605 471573336680 518730670348 610271376880 648413337935 671298514568 839123143210 943146673360 1037461340696 1296826675870 1342597029136 1426509343457 1678246286420 2074922681392 2593653351740 2853018686914 3356492572840 5187306703480 5706037373828 6712985145680 7132546717285 10374613406960 11412074747656 14265093434570 22824149495312 28530186869140 57060373738280 114120747476560