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4140414430434 = 232792911683847
BaseRepresentation
bin111100010000000011111…
…011100110110011100010
3112122211010121012211100200
4330100003323212303202
51020314032043233214
612450025150330030
7605064220655322
oct74200373466342
915584117184320
104140414430434
111356a380074a7
1256a5344b9916
132405934b2329
1410457ba0b282
1572a7d290d09
hex3c403ee6ce2

4140414430434 has 24 divisors (see below), whose sum is σ = 9084453605760. Its totient is φ = 1362668039928.

The previous prime is 4140414430421. The next prime is 4140414430457. The reversal of 4140414430434 is 4340344140414.

4140414430434 is a `hidden beast` number, since 4 + 140 + 41 + 4 + 43 + 0 + 434 = 666.

4140414430434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×41404144304342 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1455840502 + ... + 1455843345.

It is an arithmetic number, because the mean of its divisors is an integer number (378518900240).

Almost surely, 24140414430434 is an apocalyptic number.

4140414430434 is an abundant number, since it is smaller than the sum of its proper divisors (4944039175326).

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

4140414430434 is a wasteful number, since it uses less digits than its factorization.

4140414430434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2911683934 (or 2911683931 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 4140414430434 its reverse (4340344140414), we get a palindrome (8480758570848).

The spelling of 4140414430434 in words is "four trillion, one hundred forty billion, four hundred fourteen million, four hundred thirty thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 79 158 237 474 711 1422 2911683847 5823367694 8735051541 17470103082 26205154623 52410309246 230023023913 460046047826 690069071739 1380138143478 2070207215217 4140414430434