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114316612020 = 223251361800873
BaseRepresentation
bin110101001110111001…
…1010001000110110100
3101221001220212120212100
41222131303101012310
53333110023041040
6124303305422100
711154605112102
oct1523563210664
9357056776770
10114316612020
1144532824666
121a1a449a930
13aa1a8b46c0
1457665d2c72
152e9105db30
hex1a9dcd11b4

114316612020 has 144 divisors (see below), whose sum is σ = 379556613072. Its totient is φ = 27678136320.

The previous prime is 114316611989. The next prime is 114316612021. The reversal of 114316612020 is 20216613411.

It is a happy number.

114316612020 is a `hidden beast` number, since 1 + 1 + 43 + 1 + 6 + 612 + 0 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 73477860624 + 40838751396 = 271068^2 + 202086^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114316612021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 257697 + ... + 543176.

It is an arithmetic number, because the mean of its divisors is an integer number (2635809813).

Almost surely, 2114316612020 is an apocalyptic number.

114316612020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114316612020 is an abundant number, since it is smaller than the sum of its proper divisors (265240001052).

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

114316612020 is a wasteful number, since it uses less digits than its factorization.

114316612020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800962 (or 800957 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 114316612020 in words is "one hundred fourteen billion, three hundred sixteen million, six hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 61 65 78 90 117 122 130 156 180 183 195 234 244 260 305 366 390 468 549 585 610 732 780 793 915 1098 1170 1220 1586 1830 2196 2340 2379 2745 3172 3660 3965 4758 5490 7137 7930 9516 10980 11895 14274 15860 23790 28548 35685 47580 71370 142740 800873 1601746 2402619 3203492 4004365 4805238 7207857 8008730 9610476 10411349 12013095 14415714 16017460 20822698 24026190 28831428 31234047 36039285 41645396 48052380 48853253 52056745 62468094 72078570 93702141 97706506 104113490 124936188 144157140 146559759 156170235 187404282 195413012 208226980 244266265 293119518 312340470 374808564 439679277 468510705 488532530 586239036 624680940 635092289 732798795 879358554 937021410 977065060 1270184578 1465597590 1758717108 1874042820 1905276867 2198396385 2540369156 2931195180 3175461445 3810553734 4396792770 5715830601 6350922890 7621107468 8793585540 9526384335 11431661202 12701845780 19052768670 22863322404 28579153005 38105537340 57158306010 114316612020