[go: up one dir, main page]

Search a number
-
+
3144423000 = 233533133811
BaseRepresentation
bin1011101101101100…
…0001011001011000
322010010210020110010
42323123001121120
522414433014000
61240003521520
7140631103665
oct27333013130
98103706403
103144423000
111373a435a4
127390892a0
133b15acb34
1421b87ca6c
151360c0d50
hexbb6c1658

3144423000 has 128 divisors (see below), whose sum is σ = 10127370240. Its totient is φ = 811440000.

The previous prime is 3144422977. The next prime is 3144423019. The reversal of 3144423000 is 3244413.

3144423000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76095 + ... + 109905.

It is an arithmetic number, because the mean of its divisors is an integer number (79120080).

Almost surely, 23144423000 is an apocalyptic number.

3144423000 is a gapful number since it is divisible by the number (30) 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 3144423000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5063685120).

3144423000 is an abundant number, since it is smaller than the sum of its proper divisors (6982947240).

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

3144423000 is a wasteful number, since it uses less digits than its factorization.

3144423000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33866 (or 33852 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 3144423000 is about 56075.1549262238. The cubic root of 3144423000 is about 1465.0315857867.

Adding to 3144423000 its reverse (3244413), we get a palindrome (3147667413).

The spelling of 3144423000 in words is "three billion, one hundred forty-four million, four hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 100 120 124 125 150 155 186 200 248 250 300 310 372 375 465 500 600 620 744 750 775 930 1000 1240 1500 1550 1860 2325 3000 3100 3720 3875 4650 6200 7750 9300 11625 15500 18600 23250 31000 33811 46500 67622 93000 101433 135244 169055 202866 270488 338110 405732 507165 676220 811464 845275 1014330 1048141 1352440 1690550 2028660 2096282 2535825 3144423 3381100 4057320 4192564 4226375 5071650 5240705 6288846 6762200 8385128 8452750 10143300 10481410 12577692 12679125 15722115 16905500 20286600 20962820 25155384 25358250 26203525 31444230 33811000 41925640 50716500 52407050 62888460 78610575 101433000 104814100 125776920 131017625 157221150 209628200 262035250 314442300 393052875 524070500 628884600 786105750 1048141000 1572211500 3144423000