Search a number
-
+
44142000 = 2435371051
BaseRepresentation
bin1010100001100…
…0110110110000
310002001122102220
42220120312300
542300021000
64214041040
71044125610
oct250306660
9102048386
1044142000
1122a0a5a1
1212949180
1391b6c36
145c10a40
153d1e1a0
hex2a18db0

44142000 has 160 divisors (see below), whose sum is σ = 162799104. Its totient is φ = 10080000.

The previous prime is 44141969. The next prime is 44142017. The reversal of 44142000 is 24144.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41475 + ... + 42525.

Almost surely, 244142000 is an apocalyptic number.

44142000 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 44142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81399552).

44142000 is an abundant number, since it is smaller than the sum of its proper divisors (118657104).

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

44142000 is a wasteful number, since it uses less digits than its factorization.

44142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 44142000 is about 6643.9446114488. The cubic root of 44142000 is about 353.4142056091.

Adding to 44142000 its reverse (24144), we get a palindrome (44166144).

The spelling of 44142000 in words is "forty-four million, one hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 125 140 150 168 175 200 210 240 250 280 300 336 350 375 400 420 500 525 560 600 700 750 840 875 1000 1050 1051 1200 1400 1500 1680 1750 2000 2100 2102 2625 2800 3000 3153 3500 4200 4204 5250 5255 6000 6306 7000 7357 8400 8408 10500 10510 12612 14000 14714 15765 16816 21000 21020 22071 25224 26275 29428 31530 36785 42000 42040 44142 50448 52550 58856 63060 73570 78825 84080 88284 105100 110355 117712 126120 131375 147140 157650 176568 183925 210200 220710 252240 262750 294280 315300 353136 367850 394125 420400 441420 525500 551775 588560 630600 735700 788250 882840 919625 1051000 1103550 1261200 1471400 1576500 1765680 1839250 2102000 2207100 2758875 2942800 3153000 3678500 4414200 5517750 6306000 7357000 8828400 11035500 14714000 22071000 44142000