Search a number
-
+
451421144000 = 2653151373693
BaseRepresentation
bin1101001000110101100…
…11000000001111000000
31121011012022112010200122
412210122303000033000
524344002303102000
6543214025435412
744420431261511
oct6443263001700
91534168463618
10451421144000
111644a0515a22
12735a403bb68
1333751950878
1417bc554aa08
15bb20e0d085
hex691acc03c0

451421144000 has 112 divisors (see below), whose sum is σ = 1125351080256. Its totient is φ = 179372160000.

The previous prime is 451421143939. The next prime is 451421144023. The reversal of 451421144000 is 441124154.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1021154 + ... + 1394846.

Almost surely, 2451421144000 is an apocalyptic number.

451421144000 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 451421144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562675540128).

451421144000 is an abundant number, since it is smaller than the sum of its proper divisors (673929936256).

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

451421144000 is a wasteful number, since it uses less digits than its factorization.

451421144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373871 (or 373851 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

Adding to 451421144000 its reverse (441124154), we get a palindrome (451862268154).

The spelling of 451421144000 in words is "four hundred fifty-one billion, four hundred twenty-one million, one hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 151 160 200 250 302 320 400 500 604 755 800 1000 1208 1510 1600 2000 2416 3020 3775 4000 4832 6040 7550 8000 9664 12080 15100 18875 24160 30200 37750 48320 60400 75500 120800 151000 241600 302000 373693 604000 747386 1208000 1494772 1868465 2989544 3736930 5979088 7473860 9342325 11958176 14947720 18684650 23916352 29895440 37369300 46711625 56427643 59790880 74738600 93423250 112855286 119581760 149477200 186846500 225710572 282138215 298954400 373693000 451421144 564276430 597908800 747386000 902842288 1128552860 1410691075 1494772000 1805684576 2257105720 2821382150 2989544000 3611369152 4514211440 5642764300 7053455375 9028422880 11285528600 14106910750 18056845760 22571057200 28213821500 45142114400 56427643000 90284228800 112855286000 225710572000 451421144000