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234136352500640 = 25510397259146077
BaseRepresentation
bin110101001111001000011110…
…000111101010101110100000
31010201000012211222022020020222
4311033020132013222232200
5221142042222220010030
62145544431102022212
7100213536040113422
oct6517103607525640
91121005758266228
10234136352500640
116866a740078927
122231523a877968
13a084c6a4b75a5
1441b638d346812
151c106556ee3e5
hexd4f21e1eaba0

234136352500640 has 96 divisors (see below), whose sum is σ = 558527059359360. Its totient is φ = 92743685121024.

The previous prime is 234136352500579. The next prime is 234136352500669. The reversal of 234136352500640 is 46005253631432.

It is a happy number.

234136352500640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 234136352500591 and 234136352500600.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1602755282 + ... + 1602901358.

It is an arithmetic number, because the mean of its divisors is an integer number (5817990201660).

Almost surely, 2234136352500640 is an apocalyptic number.

234136352500640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234136352500640 is an abundant number, since it is smaller than the sum of its proper divisors (324390706858720).

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

234136352500640 is a wasteful number, since it uses less digits than its factorization.

234136352500640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243454 (or 243446 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 44.

The spelling of 234136352500640 in words is "two hundred thirty-four trillion, one hundred thirty-six billion, three hundred fifty-two million, five hundred thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 103 160 206 412 515 824 1030 1648 2060 3296 4120 8240 16480 97259 146077 194518 292154 389036 486295 584308 730385 778072 972590 1168616 1460770 1556144 1945180 2337232 2921540 3112288 3890360 4674464 5843080 7780720 10017677 11686160 15045931 15561440 20035354 23372320 30091862 40070708 50088385 60183724 75229655 80141416 100176770 120367448 150459310 160282832 200353540 240734896 300918620 320565664 400707080 481469792 601837240 801414160 1203674480 1602828320 2407348960 14207302943 28414605886 56829211772 71036514715 113658423544 142073029430 227316847088 284146058860 454633694176 568292117720 1136584235440 1463352203129 2273168470880 2926704406258 5853408812516 7316761015645 11706817625032 14633522031290 23413635250064 29267044062580 46827270500128 58534088125160 117068176250320 234136352500640