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114314123400 = 23352172659251
BaseRepresentation
bin110101001110110100…
…1110001100010001000
3101221001202012011010020
41222131221301202020
53333103403422100
6124303140220440
711154545005461
oct1523551614210
9357052164106
10114314123400
1144531384954
121a1a369a720
13aa1a222a49
145766145d68
152e90c1b5a0
hex1a9da71888

114314123400 has 144 divisors (see below), whose sum is σ = 376446077040. Its totient is φ = 28690560000.

The previous prime is 114314123393. The next prime is 114314123401. The reversal of 114314123400 is 4321413411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (114314123401) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 156226 + ... + 503025.

Almost surely, 2114314123400 is an apocalyptic number.

114314123400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114314123400 is an abundant number, since it is smaller than the sum of its proper divisors (262131953640).

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

114314123400 is a wasteful number, since it uses less digits than its factorization.

114314123400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659304 (or 659278 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 114314123400 its reverse (4321413411), we get a palindrome (118635536811).

The spelling of 114314123400 in words is "one hundred fourteen billion, three hundred fourteen million, one hundred twenty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 136 150 170 200 204 255 289 300 340 408 425 510 578 600 680 850 867 1020 1156 1275 1445 1700 1734 2040 2312 2550 2890 3400 3468 4335 5100 5780 6936 7225 8670 10200 11560 14450 17340 21675 28900 34680 43350 57800 86700 173400 659251 1318502 1977753 2637004 3296255 3955506 5274008 6592510 7911012 9888765 11207267 13185020 15822024 16481275 19777530 22414534 26370040 32962550 33621801 39555060 44829068 49443825 56036335 65925100 67243602 79110120 89658136 98887650 112072670 131850200 134487204 168109005 190523539 197775300 224145340 268974408 280181675 336218010 381047078 395550600 448290680 560363350 571570617 672436020 762094156 840545025 952617695 1120726700 1143141234 1344872040 1524188312 1681090050 1905235390 2241453400 2286282468 2857853085 3362180100 3810470780 4572564936 4763088475 5715706170 6724360200 7620941560 9526176950 11431412340 14289265425 19052353900 22862824680 28578530850 38104707800 57157061700 114314123400