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114254031120120 = 233252313798796029
BaseRepresentation
bin11001111110100111010110…
…111100000110011011111000
3112222112120121212121110101200
4121332213112330012123320
5104433414223431320440
61042555324410214200
733031403254441353
oct3176472674063370
9488476555543350
10114254031120120
113344a953a75241
1210993243a24360
134b9a155355248
14202dcd31c729a
15d32022357c30
hex67e9d6f066f8

114254031120120 has 96 divisors (see below), whose sum is σ = 387470192522400. Its totient is φ = 29143057211136.

The previous prime is 114254031120041. The next prime is 114254031120161. The reversal of 114254031120120 is 21021130452411.

114254031120120 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 540 + 3 + 112 + 0 + 1 + 2 + 0 = 666.

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, 6899389735 + ... + 6899406294.

It is an arithmetic number, because the mean of its divisors is an integer number (4036147838775).

Almost surely, 2114254031120120 is an apocalyptic number.

114254031120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114254031120120 is an abundant number, since it is smaller than the sum of its proper divisors (273216161402280).

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

114254031120120 is a wasteful number, since it uses less digits than its factorization.

114254031120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13798796069 (or 13798796062 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 114254031120120 its reverse (21021130452411), we get a palindrome (135275161572531).

The spelling of 114254031120120 in words is "one hundred fourteen trillion, two hundred fifty-four billion, thirty-one million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 138 180 184 207 230 276 345 360 414 460 552 690 828 920 1035 1380 1656 2070 2760 4140 8280 13798796029 27597592058 41396388087 55195184116 68993980145 82792776174 110390368232 124189164261 137987960290 165585552348 206981940435 248378328522 275975920580 317372308667 331171104696 413963880870 496756657044 551951841160 620945821305 634744617334 827927761740 952116926001 993513314088 1241891642610 1269489234668 1586861543335 1655855523480 1904233852002 2483783285220 2538978469336 2856350778003 3173723086670 3808467704004 4760584630005 4967566570440 5712701556006 6347446173340 7616935408008 9521169260010 11425403112012 12694892346680 14281753890015 19042338520020 22850806224024 28563507780030 38084677040040 57127015560060 114254031120120