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321230424440 = 235172199913901
BaseRepresentation
bin1001010110010101101…
…00110100100101111000
31010201011002201100000102
410223022310310211320
520230334442040230
6403323214454532
732131250361452
oct4531264644570
91121132640012
10321230424440
11114262222422
125230b504448
13243a43c0c33
14117949d72d2
158551475045
hex4acad34978

321230424440 has 96 divisors (see below), whose sum is σ = 768224520000. Its totient is φ = 120864614400.

The previous prime is 321230424397. The next prime is 321230424443. The reversal of 321230424440 is 44424032123.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321230424443) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 23101490 + ... + 23115390.

It is an arithmetic number, because the mean of its divisors is an integer number (8002338750).

Almost surely, 2321230424440 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 321230424440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384112260000).

321230424440 is an abundant number, since it is smaller than the sum of its proper divisors (446994095560).

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

321230424440 is a wasteful number, since it uses less digits than its factorization.

321230424440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15945 (or 15924 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 321230424440 its reverse (44424032123), we get a palindrome (365654456563).

The spelling of 321230424440 in words is "three hundred twenty-one billion, two hundred thirty million, four hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 289 340 578 680 1156 1445 1999 2312 2890 3998 5780 7996 9995 11560 13901 15992 19990 27802 33983 39980 55604 67966 69505 79960 111208 135932 139010 169915 236317 271864 278020 339830 472634 556040 577711 679660 945268 1155422 1181585 1359320 1890536 2310844 2363170 2888555 4017389 4621688 4726340 5777110 8034778 9452680 11554220 16069556 20086945 23108440 27788099 32139112 40173890 55576198 80347780 111152396 138940495 160695560 222304792 277880990 472397683 555761980 944795366 1111523960 1889590732 2361988415 3779181464 4723976830 8030760611 9447953660 16061521222 18895907320 32123042444 40153803055 64246084888 80307606110 160615212220 321230424440