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424144310000 = 245461768743
BaseRepresentation
bin1100010110000001111…
…10001000111011110000
31111112210100100101210112
412023000332020323300
523422121420410000
6522503232320452
742433456102235
oct6130076107360
91445710311715
10424144310000
11153973450904
126a2510a3128
1330cc57c36c8
1416758a4578c
15b0763e3235
hex62c0f88ef0

424144310000 has 100 divisors (see below), whose sum is σ = 1028575088112. Its totient is φ = 169380288000.

The previous prime is 424144309957. The next prime is 424144310017. The reversal of 424144310000 is 13441424.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×4241443100002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6135629 + ... + 6204371.

Almost surely, 2424144310000 is an apocalyptic number.

424144310000 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 424144310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514287544056).

424144310000 is an abundant number, since it is smaller than the sum of its proper divisors (604430778112).

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

424144310000 is an equidigital number, since it uses as much as digits as its factorization.

424144310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69388 (or 69367 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 424144310000 its reverse (13441424), we get a palindrome (424157751424).

The spelling of 424144310000 in words is "four hundred twenty-four billion, one hundred forty-four million, three hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 617 625 1000 1234 1250 2000 2468 2500 3085 4936 5000 6170 9872 10000 12340 15425 24680 30850 49360 61700 68743 77125 123400 137486 154250 246800 274972 308500 343715 385625 549944 617000 687430 771250 1099888 1234000 1374860 1542500 1718575 2749720 3085000 3437150 5499440 6170000 6874300 8592875 13748600 17185750 27497200 34371500 42414431 42964375 68743000 84828862 85928750 137486000 169657724 171857500 212072155 339315448 343715000 424144310 678630896 687430000 848288620 1060360775 1696577240 2120721550 3393154480 4241443100 5301803875 8482886200 10603607750 16965772400 21207215500 26509019375 42414431000 53018038750 84828862000 106036077500 212072155000 424144310000