Search a number
-
+
4214314720 = 255711342071
BaseRepresentation
bin1111101100110001…
…0101011011100000
3101212200222100222101
43323030111123200
532112331032340
61534103220144
7206302040560
oct37314253340
911780870871
104214314720
111872964030
12997447654
1352214b465
142bd9c0da0
15199eaac9a
hexfb3156e0

4214314720 has 96 divisors (see below), whose sum is σ = 12413108736. Its totient is φ = 1313548800.

The previous prime is 4214314711. The next prime is 4214314721. The reversal of 4214314720 is 274134124.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4214314721) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 158716 + ... + 183355.

It is an arithmetic number, because the mean of its divisors is an integer number (129303216).

Almost surely, 24214314720 is an apocalyptic number.

4214314720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4214314720 is an abundant number, since it is smaller than the sum of its proper divisors (8198794016).

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

4214314720 is a wasteful number, since it uses less digits than its factorization.

4214314720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342104 (or 342096 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 4214314720 is about 64917.7535039530. The cubic root of 4214314720 is about 1615.2595658674.

Adding to 4214314720 its reverse (274134124), we get a palindrome (4488448844).

The spelling of 4214314720 in words is "four billion, two hundred fourteen million, three hundred fourteen thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 70 77 80 88 110 112 140 154 160 176 220 224 280 308 352 385 440 560 616 770 880 1120 1232 1540 1760 2464 3080 6160 12320 342071 684142 1368284 1710355 2394497 2736568 3420710 3762781 4788994 5473136 6841420 7525562 9577988 10946272 11972485 13682840 15051124 18813905 19155976 23944970 26339467 27365680 30102248 37627810 38311952 47889940 52678934 54731360 60204496 75255620 76623904 95779880 105357868 120408992 131697335 150511240 191559760 210715736 263394670 301022480 383119520 421431472 526789340 602044960 842862944 1053578680 2107157360 4214314720