Search a number
-
+
4144055453000 = 235327714960489
BaseRepresentation
bin111100010011011100111…
…101000000010101001000
3112200011112100102221100022
4330103130331000111020
51020344011143444000
612451430334200012
7605253362104421
oct74233475002510
915604470387308
104144055453000
1113585362a4661
1256b18b953008
13240a23926558
141048053d8648
1572be2c57585
hex3c4dcf40548

4144055453000 has 64 divisors (see below), whose sum is σ = 9732097954800. Its totient is φ = 1651637875200.

The previous prime is 4144055452879. The next prime is 4144055453023. The reversal of 4144055453000 is 3545504414.

It can be written as a sum of positive squares in 8 ways, for example, as 416290782436 + 3727764670564 = 645206^2 + 1930742^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7203245 + ... + 7757244.

Almost surely, 24144055453000 is an apocalyptic number.

4144055453000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4144055453000 is an abundant number, since it is smaller than the sum of its proper divisors (5588042501800).

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

4144055453000 is a wasteful number, since it uses less digits than its factorization.

4144055453000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14960787 (or 14960773 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 35.

The spelling of 4144055453000 in words is "four trillion, one hundred forty-four billion, fifty-five million, four hundred fifty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 277 500 554 1000 1108 1385 2216 2770 5540 6925 11080 13850 27700 34625 55400 69250 138500 277000 14960489 29920978 59841956 74802445 119683912 149604890 299209780 374012225 598419560 748024450 1496048900 1870061125 2992097800 3740122250 4144055453 7480244500 8288110906 14960489000 16576221812 20720277265 33152443624 41440554530 82881109060 103601386325 165762218120 207202772650 414405545300 518006931625 828811090600 1036013863250 2072027726500 4144055453000