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114702771720 = 233553175910253
BaseRepresentation
bin110101011010011010…
…0010110011000001000
3101222001211111112101110
41222310310112120020
53334402402143340
6124405502250320
711200304321115
oct1526464263010
9358054445343
10114702771720
11447107a7109
121a2918869a0
13aa7c8bb474
1457a19d390c
152eb4ddb680
hex1ab4d16608

114702771720 has 128 divisors (see below), whose sum is σ = 350834457600. Its totient is φ = 29990298624.

The previous prime is 114702771691. The next prime is 114702771761. The reversal of 114702771720 is 27177207411.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11182114 + ... + 11192366.

It is an arithmetic number, because the mean of its divisors is an integer number (2740894200).

Almost surely, 2114702771720 is an apocalyptic number.

114702771720 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 114702771720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175417228800).

114702771720 is an abundant number, since it is smaller than the sum of its proper divisors (236131685880).

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

114702771720 is a wasteful number, since it uses less digits than its factorization.

114702771720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12079 (or 12075 counting only the distinct ones).

The product of its (nonzero) digits is 38416, while the sum is 39.

The spelling of 114702771720 in words is "one hundred fourteen billion, seven hundred two million, seven hundred seventy-one thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 424 530 636 795 1060 1272 1590 1759 2120 3180 3518 5277 6360 7036 8795 10253 10554 14072 17590 20506 21108 26385 30759 35180 41012 42216 51265 52770 61518 70360 82024 93227 102530 105540 123036 153795 186454 205060 211080 246072 279681 307590 372908 410120 466135 543409 559362 615180 745816 932270 1086818 1118724 1230360 1398405 1630227 1864540 2173636 2237448 2717045 2796810 3260454 3729080 4347272 5434090 5593620 6520908 8151135 10868180 11187240 13041816 16302270 18035027 21736360 32604540 36070054 54105081 65209080 72140108 90175135 108210162 144280216 180350270 216420324 270525405 360700540 432840648 541050810 721401080 955856431 1082101620 1911712862 2164203240 2867569293 3823425724 4779282155 5735138586 7646851448 9558564310 11470277172 14337846465 19117128620 22940554344 28675692930 38234257240 57351385860 114702771720