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4214203140 = 2235767714821
BaseRepresentation
bin1111101100101111…
…1010001100000100
3101212200202200220210
43323023322030010
532112314000030
61534100555420
7206301064350
oct37313721404
911780680823
104214203140
111872898214
129973b2b70
1352210c734
142bd992460
15199e87bb0
hexfb2fa304

4214203140 has 96 divisors (see below), whose sum is σ = 13506280704. Its totient is φ = 961758720.

The previous prime is 4214203127. The next prime is 4214203153. The reversal of 4214203140 is 413024124.

It is an interprime number because it is at equal distance from previous prime (4214203127) and next prime (4214203153).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 276930 + ... + 291750.

It is an arithmetic number, because the mean of its divisors is an integer number (140690424).

Almost surely, 24214203140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4214203140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6753140352).

4214203140 is an abundant number, since it is smaller than the sum of its proper divisors (9292077564).

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

4214203140 is a wasteful number, since it uses less digits than its factorization.

4214203140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15517 (or 15515 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 4214203140 is about 64916.8941031531. The cubic root of 4214203140 is about 1615.2453103071.

Adding to 4214203140 its reverse (413024124), we get a palindrome (4627227264).

The spelling of 4214203140 in words is "four billion, two hundred fourteen million, two hundred three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 677 1354 2031 2708 3385 4062 4739 6770 8124 9478 10155 13540 14217 14821 18956 20310 23695 28434 29642 40620 44463 47390 56868 59284 71085 74105 88926 94780 103747 142170 148210 177852 207494 222315 284340 296420 311241 414988 444630 518735 622482 889260 1037470 1244964 1556205 2074940 3112410 6224820 10033817 20067634 30101451 40135268 50169085 60202902 70236719 100338170 120405804 140473438 150507255 200676340 210710157 280946876 301014510 351183595 421420314 602029020 702367190 842840628 1053550785 1404734380 2107101570 4214203140