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3140565200 = 2452431571163
BaseRepresentation
bin1011101100110001…
…0011100011010000
322002212112020112122
42323030103203100
522412441041300
61235345113412
7140553235523
oct27314234320
98085466478
103140565200
111371849133
12737928868
133b085bc06
1421b156bba
15135aacc85
hexbb3138d0

3140565200 has 120 divisors (see below), whose sum is σ = 7776535008. Its totient is φ = 1218147840.

The previous prime is 3140565163. The next prime is 3140565247. The reversal of 3140565200 is 25650413.

It is a self number, because there is not a number n which added to its sum of digits gives 3140565200.

It is a congruent number.

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, 2699819 + ... + 2700981.

Almost surely, 23140565200 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 3140565200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3888267504).

3140565200 is an abundant number, since it is smaller than the sum of its proper divisors (4635969808).

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

3140565200 is a wasteful number, since it uses less digits than its factorization.

3140565200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 3140565200 is about 56040.7458908248. The cubic root of 3140565200 is about 1464.4322058930.

The spelling of 3140565200 in words is "three billion, one hundred forty million, five hundred sixty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 43 50 80 86 100 157 172 200 215 314 344 400 430 628 688 785 860 1075 1163 1256 1570 1720 2150 2326 2512 3140 3440 3925 4300 4652 5815 6280 6751 7850 8600 9304 11630 12560 13502 15700 17200 18608 23260 27004 29075 31400 33755 46520 50009 54008 58150 62800 67510 93040 100018 108016 116300 135020 168775 182591 200036 232600 250045 270040 337550 365182 400072 465200 500090 540080 675100 730364 800144 912955 1000180 1250225 1350200 1460728 1825910 2000360 2500450 2700400 2921456 3651820 4000720 4564775 5000900 7303640 7851413 9129550 10001800 14607280 15702826 18259100 20003600 31405652 36518200 39257065 62811304 73036400 78514130 125622608 157028260 196285325 314056520 392570650 628113040 785141300 1570282600 3140565200