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3144525000 = 2335541927
BaseRepresentation
bin1011101101101101…
…1010010011001000
322010010222102100220
42323123122103020
522414444300000
61240010030040
7140632010241
oct27333322310
98103872326
103144525000
1113740031a1
12739118320
133b16173a6
1421b8a7cc8
151360e11a0
hexbb6da4c8

3144525000 has 96 divisors (see below), whose sum is σ = 9826246080. Its totient is φ = 838520000.

The previous prime is 3144524921. The next prime is 3144525001. The reversal of 3144525000 is 5254413.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (3144525001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54037 + ... + 95963.

It is an arithmetic number, because the mean of its divisors is an integer number (102356730).

Almost surely, 23144525000 is an apocalyptic number.

3144525000 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 3144525000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4913123040).

3144525000 is an abundant number, since it is smaller than the sum of its proper divisors (6681721080).

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

3144525000 is an equidigital number, since it uses as much as digits as its factorization.

3144525000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41961 (or 41937 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 3144525000 is about 56076.0644125459. The cubic root of 3144525000 is about 1465.0474267010.

Adding to 3144525000 its reverse (5254413), we get a palindrome (3149779413).

The spelling of 3144525000 in words is "three billion, one hundred forty-four million, five hundred twenty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 625 750 1000 1250 1500 1875 2500 3000 3125 3750 5000 6250 7500 9375 12500 15000 18750 25000 37500 41927 75000 83854 125781 167708 209635 251562 335416 419270 503124 628905 838540 1006248 1048175 1257810 1677080 2096350 2515620 3144525 4192700 5031240 5240875 6289050 8385400 10481750 12578100 15722625 20963500 25156200 26204375 31445250 41927000 52408750 62890500 78613125 104817500 125781000 131021875 157226250 209635000 262043750 314452500 393065625 524087500 628905000 786131250 1048175000 1572262500 3144525000