Search a number
-
+
421323320214544 = 241121638291610527
BaseRepresentation
bin101111111001100001111101…
…0110101100100010000010000
32001020210010010121011201101111
41133303003322311210100100
5420210430124433331134
64052025132233543104
7154513414433126416
oct13763037265442020
92036703117151344
10421323320214544
11112279242426200
123b307347574a94
1315112807142b27
14760822c2952b6
1533a98be39cc64
hex17f30fad64410

421323320214544 has 120 divisors (see below), whose sum is σ = 903864969217280. Its totient is φ = 190105973671680.

The previous prime is 421323320214521. The next prime is 421323320214547. The reversal of 421323320214544 is 445412023323124.

It is a junction number, because it is equal to n+sod(n) for n = 421323320214497 and 421323320214506.

It is not an unprimeable number, because it can be changed into a prime (421323320214547) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 260800609 + ... + 262411135.

Almost surely, 2421323320214544 is an apocalyptic number.

421323320214544 is a gapful number since it is divisible by the number (44) 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 421323320214544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451932484608640).

421323320214544 is an abundant number, since it is smaller than the sum of its proper divisors (482541649002736).

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

421323320214544 is a wasteful number, since it uses less digits than its factorization.

421323320214544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1611549 (or 1611532 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 40.

Adding to 421323320214544 its reverse (445412023323124), we get a palindrome (866735343537668).

The spelling of 421323320214544 in words is "four hundred twenty-one trillion, three hundred twenty-three billion, three hundred twenty million, two hundred fourteen thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 121 163 176 242 326 484 652 829 968 1304 1658 1793 1936 2608 3316 3586 6632 7172 9119 13264 14344 18238 19723 28688 36476 39446 72952 78892 100309 135127 145904 157784 200618 270254 315568 401236 540508 802472 1081016 1486397 1604944 1610527 2162032 2972794 3221054 5945588 6442108 11891176 12884216 16350367 17715797 23782352 25768432 32700734 35431594 65401468 70863188 130802936 141726376 194873767 261605872 262515901 283452752 389747534 525031802 779495068 1050063604 1335126883 1558990136 2100127208 2670253766 2887674911 3117980272 4200254416 5340507532 5775349822 10681015064 11550699644 14686395713 21362030128 23101399288 29372791426 31764424021 46202798576 58745582852 63528848042 117491165704 127057696084 161550352843 217625681929 234982331408 254115392168 323100705686 435251363858 508230784336 646201411372 870502727716 1292402822744 1741005455432 2393882501219 2584805645488 3482010910864 4787765002438 9575530004876 19151060009752 26332707513409 38302120019504 52665415026818 105330830053636 210661660107272 421323320214544