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3141200000 = 27557853
BaseRepresentation
bin1011101100111010…
…1110100010000000
322002220201111022202
42323032232202000
522413121400000
61235410452332
7140561521331
oct27316564200
98086644282
103141200000
111372142064
12737b940a8
133b0a21b33
1421b280288
15135b85dd5
hexbb3ae880

3141200000 has 96 divisors (see below), whose sum is σ = 7822819620. Its totient is φ = 1256320000.

The previous prime is 3141199993. The next prime is 3141200033. The reversal of 3141200000 is 21413.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1228362304 + 1912837696 = 35048^2 + 43736^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 396074 + ... + 403926.

Almost surely, 23141200000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3141200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3911409810).

3141200000 is an abundant number, since it is smaller than the sum of its proper divisors (4681619620).

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

3141200000 is an frugal number, since it uses more digits than its factorization.

3141200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7892 (or 7860 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 3141200000 is about 56046.4093408311. The cubic root of 3141200000 is about 1464.5308674266.

Adding to 3141200000 its reverse (21413), we get a palindrome (3141221413).

The spelling of 3141200000 in words is "three billion, one hundred forty-one million, two hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 7853 8000 10000 12500 15706 16000 20000 25000 31412 39265 40000 50000 62824 78530 80000 100000 125648 157060 196325 200000 251296 314120 392650 400000 502592 628240 785300 981625 1005184 1256480 1570600 1963250 2512960 3141200 3926500 4908125 5025920 6282400 7853000 9816250 12564800 15706000 19632500 24540625 25129600 31412000 39265000 49081250 62824000 78530000 98162500 125648000 157060000 196325000 314120000 392650000 628240000 785300000 1570600000 3141200000