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42214324020 = 223511491130267
BaseRepresentation
bin100111010100001010…
…110111011100110100
311000221222200212000020
4213110022313130310
51142423331332040
631220515245140
73023052555651
oct472412673464
9130858625006
1042214324020
11169a29814a0
1282215a97b0
133c99a5a96b
1420866d6c28
1511710d2cd0
hex9d42b7734

42214324020 has 96 divisors (see below), whose sum is σ = 129209181696. Its totient is φ = 10212854400.

The previous prime is 42214324001. The next prime is 42214324043. The reversal of 42214324020 is 2042341224.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 258927 + ... + 389193.

It is an arithmetic number, because the mean of its divisors is an integer number (1345928976).

Almost surely, 242214324020 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 42214324020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64604590848).

42214324020 is an abundant number, since it is smaller than the sum of its proper divisors (86994857676).

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

42214324020 is a wasteful number, since it uses less digits than its factorization.

42214324020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130781 (or 130779 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 42214324020 its reverse (2042341224), we get a palindrome (44256665244).

The spelling of 42214324020 in words is "forty-two billion, two hundred fourteen million, three hundred twenty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 491 660 982 1473 1964 2455 2946 4910 5401 5892 7365 9820 10802 14730 16203 21604 27005 29460 32406 54010 64812 81015 108020 130267 162030 260534 324060 390801 521068 651335 781602 1302670 1432937 1563204 1954005 2605340 2865874 3908010 4298811 5731748 7164685 7816020 8597622 14329370 17195244 21494055 28658740 42988110 63961097 85976220 127922194 191883291 255844388 319805485 383766582 639610970 703572067 767533164 959416455 1279221940 1407144134 1918832910 2110716201 2814288268 3517860335 3837665820 4221432402 7035720670 8442864804 10553581005 14071441340 21107162010 42214324020