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4214133040 = 245134052051
BaseRepresentation
bin1111101100101110…
…1001000100110000
3101212200122010202111
43323023221010300
532112304224130
61534055255104
7206300353105
oct37313510460
911780563674
104214133040
11187284a587
1299737a494
135220b6860
142bd974aac
15199e7202a
hexfb2e9130

4214133040 has 40 divisors (see below), whose sum is σ = 10551543408. Its totient is φ = 1555987200.

The previous prime is 4214133023. The next prime is 4214133109. The reversal of 4214133040 is 403314124.

4214133040 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 an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2024986 + ... + 2027065.

Almost surely, 24214133040 is an apocalyptic number.

4214133040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4214133040 is an abundant number, since it is smaller than the sum of its proper divisors (6337410368).

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

4214133040 is a wasteful number, since it uses less digits than its factorization.

4214133040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4052077 (or 4052071 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 4214133040 is about 64916.3541798213. The cubic root of 4214133040 is about 1615.2363541398.

Adding to 4214133040 its reverse (403314124), we get a palindrome (4617447164).

The spelling of 4214133040 in words is "four billion, two hundred fourteen million, one hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 4052051 8104102 16208204 20260255 32416408 40520510 52676663 64832816 81041020 105353326 162082040 210706652 263383315 324164080 421413304 526766630 842826608 1053533260 2107066520 4214133040