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424404434140 = 225296150923567
BaseRepresentation
bin1100010110100000111…
…10011011110011011100
31111120110110211002000221
412023100132123303130
523423140013343030
6522545123531124
742443065111531
oct6132036336334
91446413732027
10424404434140
11153a97269a35
126a304229aa4
133103766c30b
14167813d8d88
15b08e176e7a
hex62d079bcdc

424404434140 has 96 divisors (see below), whose sum is σ = 938977401600. Its totient is φ = 160897336320.

The previous prime is 424404434131. The next prime is 424404434141. The reversal of 424404434140 is 41434404424.

It is a junction number, because it is equal to n+sod(n) for n = 424404434096 and 424404434105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424404434141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17996637 + ... + 18020203.

It is an arithmetic number, because the mean of its divisors is an integer number (9781014600).

Almost surely, 2424404434140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424404434140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469488700800).

424404434140 is an abundant number, since it is smaller than the sum of its proper divisors (514572967460).

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

424404434140 is a wasteful number, since it uses less digits than its factorization.

424404434140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24175 (or 24173 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 34.

Adding to 424404434140 its reverse (41434404424), we get a palindrome (465838838564).

The spelling of 424404434140 in words is "four hundred twenty-four billion, four hundred four million, four hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 58 61 116 122 145 244 290 305 509 580 610 1018 1220 1769 2036 2545 3538 5090 7076 8845 10180 14761 17690 23567 29522 31049 35380 47134 59044 62098 73805 94268 117835 124196 147610 155245 235670 295220 310490 471340 620980 683443 900421 1366886 1437587 1800842 2733772 2875174 3417215 3601684 4502105 5750348 6834430 7187935 9004210 11995603 13668860 14375870 18008420 23991206 28751740 41690023 47982412 59978015 83380046 119956030 166760092 208450115 239912060 347872487 416900230 695744974 731731783 833800460 1391489948 1463463566 1739362435 2926927132 3478724870 3658658915 6957449740 7317317830 14634635660 21220221707 42440443414 84880886828 106101108535 212202217070 424404434140