Search a number
-
+
4141429320 = 233574930273
BaseRepresentation
bin1111011011011001…
…0011001001001000
3101200121211102000010
43312312103021020
531440201214240
61522541111520
7204425365650
oct36666231110
911617742003
104141429320
111835802166
12976b585a0
1351000c4c2
142b404b360
151938b0280
hexf6d93248

4141429320 has 64 divisors (see below), whose sum is σ = 14199189120. Its totient is φ = 946612224.

The previous prime is 4141429291. The next prime is 4141429333. The reversal of 4141429320 is 239241414.

4141429320 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2464297 + ... + 2465976.

It is an arithmetic number, because the mean of its divisors is an integer number (221862330).

Almost surely, 24141429320 is an apocalyptic number.

4141429320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4141429320 is an abundant number, since it is smaller than the sum of its proper divisors (10057759800).

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

4141429320 is a wasteful number, since it uses less digits than its factorization.

4141429320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4930294 (or 4930290 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 4141429320 is about 64353.9378748496. The cubic root of 4141429320 is about 1605.8935407482.

The spelling of 4141429320 in words is "four billion, one hundred forty-one million, four hundred twenty-nine thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 4930273 9860546 14790819 19721092 24651365 29581638 34511911 39442184 49302730 59163276 69023822 73954095 98605460 103535733 118326552 138047644 147908190 172559555 197210920 207071466 276095288 295816380 345119110 414142932 517678665 591632760 690238220 828285864 1035357330 1380476440 2070714660 4141429320