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4131550000 = 2455194349
BaseRepresentation
bin1111011001000010…
…0111001100110000
3101122221020111010101
43312100213030300
531430134100000
61521545242144
7204245411164
oct36620471460
911587214111
104131550000
111830174736
12973793354
1350ac60856
142b29d8ca4
15192aace6a
hexf6427330

4131550000 has 120 divisors (see below), whose sum is σ = 10534482000. Its totient is φ = 1565280000.

The previous prime is 4131549977. The next prime is 4131550021. The reversal of 4131550000 is 551314.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 4131550000.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 947826 + ... + 952174.

It is an arithmetic number, because the mean of its divisors is an integer number (87787350).

Almost surely, 24131550000 is an apocalyptic number.

4131550000 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 4131550000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5267241000).

4131550000 is an abundant number, since it is smaller than the sum of its proper divisors (6402932000).

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

4131550000 is an equidigital number, since it uses as much as digits as its factorization.

4131550000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4401 (or 4375 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 4131550000 is about 64277.1343480712. The cubic root of 4131550000 is about 1604.6155787175.

The spelling of 4131550000 in words is "four billion, one hundred thirty-one million, five hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 304 380 400 475 500 625 760 950 1000 1250 1520 1900 2000 2375 2500 3125 3800 4349 4750 5000 6250 7600 8698 9500 10000 11875 12500 17396 19000 21745 23750 25000 34792 38000 43490 47500 50000 59375 69584 82631 86980 95000 108725 118750 165262 173960 190000 217450 237500 330524 347920 413155 434900 475000 543625 661048 826310 869800 950000 1087250 1322096 1652620 1739600 2065775 2174500 2718125 3305240 4131550 4349000 5436250 6610480 8263100 8698000 10328875 10872500 13590625 16526200 20657750 21745000 27181250 33052400 41315500 43490000 51644375 54362500 82631000 103288750 108725000 165262000 206577500 217450000 258221875 413155000 516443750 826310000 1032887500 2065775000 4131550000