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4145113000 = 235373311789
BaseRepresentation
bin1111011100010001…
…0110011110101000
3101200212202120001201
43313010112132220
531442122104000
61523152053544
7204501610360
oct36704263650
911625676051
104145113000
111837898826
129782342b4
135109cc0b2
142b47299a0
15193d8b96a
hexf71167a8

4145113000 has 128 divisors (see below), whose sum is σ = 11124921600. Its totient is φ = 1416096000.

The previous prime is 4145112989. The next prime is 4145113001. The reversal of 4145113000 is 3115414.

It is not an unprimeable number, because it can be changed into a prime (4145113001) 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 31 ways as a sum of consecutive naturals, for example, 2316106 + ... + 2317894.

It is an arithmetic number, because the mean of its divisors is an integer number (86913450).

Almost surely, 24145113000 is an apocalyptic number.

4145113000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4145113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5562460800).

4145113000 is an abundant number, since it is smaller than the sum of its proper divisors (6979808600).

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

4145113000 is a wasteful number, since it uses less digits than its factorization.

4145113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2148 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 4145113000 is about 64382.5519842139. The cubic root of 4145113000 is about 1606.3695313955.

Adding to 4145113000 its reverse (3115414), we get a palindrome (4148228414).

The spelling of 4145113000 in words is "four billion, one hundred forty-five million, one hundred thirteen thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 331 350 500 662 700 875 1000 1324 1400 1655 1750 1789 2317 2648 3310 3500 3578 4634 6620 7000 7156 8275 8945 9268 11585 12523 13240 14312 16550 17890 18536 23170 25046 33100 35780 41375 44725 46340 50092 57925 62615 66200 71560 82750 89450 92680 100184 115850 125230 165500 178900 223625 231700 250460 289625 313075 331000 357800 447250 463400 500920 579250 592159 626150 894500 1158500 1184318 1252300 1565375 1789000 2317000 2368636 2504600 2960795 3130750 4145113 4737272 5921590 6261500 8290226 11843180 12523000 14803975 16580452 20725565 23686360 29607950 33160904 41451130 59215900 74019875 82902260 103627825 118431800 148039750 165804520 207255650 296079500 414511300 518139125 592159000 829022600 1036278250 2072556500 4145113000