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453241444000 = 2553289739113
BaseRepresentation
bin1101001100001110100…
…10111001011010100000
31121022220011201221212011
412212013102321122200
524411214302202000
6544114413042304
744513513464552
oct6460722713240
91538804657764
10453241444000
11165244a85294
1273a11786394
1333981aca767
1417d191c94d2
15bbcab262ba
hex69874b96a0

453241444000 has 96 divisors (see below), whose sum is σ = 1114027112016. Its totient is φ = 181229363200.

The previous prime is 453241443983. The next prime is 453241444001. The reversal of 453241444000 is 444142354.

It can be written as a sum of positive squares in 8 ways, for example, as 27860951056 + 425380492944 = 166916^2 + 652212^2 .

It is not an unprimeable number, because it can be changed into a prime (453241444001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11568444 + ... + 11607556.

Almost surely, 2453241444000 is an apocalyptic number.

453241444000 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 453241444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557013556008).

453241444000 is an abundant number, since it is smaller than the sum of its proper divisors (660785668016).

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

453241444000 is a wasteful number, since it uses less digits than its factorization.

453241444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42035 (or 42017 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 31.

Adding to 453241444000 its reverse (444142354), we get a palindrome (453685586354).

The spelling of 453241444000 in words is "four hundred fifty-three billion, two hundred forty-one million, four hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 2897 4000 5794 11588 14485 23176 28970 39113 46352 57940 72425 78226 92704 115880 144850 156452 195565 231760 289700 312904 362125 391130 463520 579400 625808 724250 782260 977825 1158800 1251616 1448500 1564520 1955650 2317600 2897000 3129040 3911300 4889125 5794000 6258080 7822600 9778250 11588000 15645200 19556500 31290400 39113000 78226000 113310361 156452000 226620722 453241444 566551805 906482888 1133103610 1812965776 2266207220 2832759025 3625931552 4532414440 5665518050 9064828880 11331036100 14163795125 18129657760 22662072200 28327590250 45324144400 56655180500 90648288800 113310361000 226620722000 453241444000