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114153845850 = 2325211191213757
BaseRepresentation
bin110101001010000011…
…0010111010001011010
3101220122120121012122200
41222110012113101122
53332241341031400
6124235213031030
711150560452132
oct1522406272132
9356576535580
10114153845850
1144459962a70
121a159a85476
13a9c2c65b65
14574cb43ac2
152e81b0bb00
hex1a9419745a

114153845850 has 144 divisors (see below), whose sum is σ = 352184021280. Its totient is φ = 26217129600.

The previous prime is 114153845837. The next prime is 114153845881. The reversal of 114153845850 is 58548351411.

114153845850 is a `hidden beast` number, since 1 + 14 + 1 + 53 + 8 + 4 + 585 + 0 = 666.

It is a super-2 number, since 2×1141538458502 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 114153845796 and 114153845805.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 512829 + ... + 700928.

It is an arithmetic number, because the mean of its divisors is an integer number (2445722370).

Almost surely, 2114153845850 is an apocalyptic number.

114153845850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114153845850 is an abundant number, since it is smaller than the sum of its proper divisors (238030175430).

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

114153845850 is a wasteful number, since it uses less digits than its factorization.

114153845850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213805 (or 1213797 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

The spelling of 114153845850 in words is "one hundred fourteen billion, one hundred fifty-three million, eight hundred forty-five thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 19 22 25 30 33 38 45 50 55 57 66 75 90 95 99 110 114 150 165 171 190 198 209 225 275 285 330 342 418 450 475 495 550 570 627 825 855 950 990 1045 1254 1425 1650 1710 1881 2090 2475 2850 3135 3762 4275 4950 5225 6270 8550 9405 10450 15675 18810 31350 47025 94050 1213757 2427514 3641271 6068785 7282542 10923813 12137570 13351327 18206355 21847626 23061383 26702654 30343925 36412710 40053981 46122766 54619065 60687850 66756635 69184149 80107962 91031775 109238130 115306915 120161943 133513270 138368298 182063550 200269905 207552447 230613830 240323886 253675213 273095325 333783175 345920745 400539810 415104894 507350426 546190650 576534575 600809715 667566350 691841490 761025639 1001349525 1037762235 1153069150 1201619430 1268376065 1522051278 1729603725 2002699050 2075524470 2283076917 2536752130 3004048575 3459207450 3805128195 4566153834 5188811175 6008097150 6341880325 7610256390 10377622350 11415384585 12683760650 19025640975 22830769170 38051281950 57076922925 114153845850