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4214111130 = 2335171098423
BaseRepresentation
bin1111101100101110…
…0011101110011010
3101212200121000201000
43323023203232122
532112303024010
61534055005430
7206300232165
oct37313435632
911780530630
104214111130
111872835079
12997369876
135220a98a8
142bd96aadc
15199e6a7c0
hexfb2e3b9a

4214111130 has 128 divisors (see below), whose sum is σ = 12009254400. Its totient is φ = 1047831552.

The previous prime is 4214111117. The next prime is 4214111177. The reversal of 4214111130 is 311114124.

4214111130 is a `hidden beast` number, since 421 + 4 + 111 + 130 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 496099 + ... + 504521.

It is an arithmetic number, because the mean of its divisors is an integer number (93822300).

Almost surely, 24214111130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4214111130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6004627200).

4214111130 is an abundant number, since it is smaller than the sum of its proper divisors (7795143270).

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

4214111130 is a wasteful number, since it uses less digits than its factorization.

4214111130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8565 (or 8559 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 4214111130 is about 64916.1854239757. The cubic root of 4214111130 is about 1615.2335548381.

Adding to 4214111130 its reverse (311114124), we get a palindrome (4525225254).

The spelling of 4214111130 in words is "four billion, two hundred fourteen million, one hundred eleven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 109 135 153 170 218 255 270 306 327 459 510 545 654 765 918 981 1090 1530 1635 1853 1962 2295 2943 3270 3706 4590 4905 5559 5886 8423 9265 9810 11118 14715 16677 16846 18530 25269 27795 29430 33354 42115 50031 50538 55590 75807 83385 84230 100062 126345 143191 151614 166770 227421 250155 252690 286382 379035 429573 454842 500310 715955 758070 859146 918107 1137105 1288719 1431910 1836214 2147865 2274210 2577438 2754321 3866157 4295730 4590535 5508642 6443595 7732314 8262963 9181070 12887190 13771605 15607819 16525926 19330785 24788889 27543210 31215638 38661570 41314815 46823457 49577778 78039095 82629630 93646914 123944445 140470371 156078190 234117285 247888890 280940742 421411113 468234570 702351855 842822226 1404703710 2107055565 4214111130