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214863693040 = 24515733170711
BaseRepresentation
bin1100100000011011011…
…1111100010011110000
3202112121012221112012001
43020012313330103300
512010020101134130
6242412414343344
721344344154023
oct3100667742360
9675535845161
10214863693040
1183139a53837
12357854bab54
1317352851b09
14a5841831ba
1558c83116ca
hex3206dfc4f0

214863693040 has 40 divisors (see below), whose sum is σ = 499592765088. Its totient is φ = 85939511040.

The previous prime is 214863693013. The next prime is 214863693059. The reversal of 214863693040 is 40396368412.

214863693040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1173285 + ... + 1343995.

Almost surely, 2214863693040 is an apocalyptic number.

214863693040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214863693040 is an abundant number, since it is smaller than the sum of its proper divisors (284729072048).

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

214863693040 is a wasteful number, since it uses less digits than its factorization.

214863693040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186457 (or 186451 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 46.

The spelling of 214863693040 in words is "two hundred fourteen billion, eight hundred sixty-three million, six hundred ninety-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 15733 31466 62932 78665 125864 157330 170711 251728 314660 341422 629320 682844 853555 1258640 1365688 1707110 2731376 3414220 6828440 13656880 2685796163 5371592326 10743184652 13428980815 21486369304 26857961630 42972738608 53715923260 107431846520 214863693040