Search a number
-
+
42301235221320 = 23353311064985781
BaseRepresentation
bin10011001111001000001100…
…00110010101001101001000
312112202221212210222122010110
421213210012012111031020
521021030412204040240
6225544530313314320
711624110020505455
oct1147440606251510
9175687783878113
1042301235221320
1112529942545219
1248b231a1059a0
131a7acb283460a
14a6356816882c
154d5543a4ec80
hex267906195348

42301235221320 has 64 divisors (see below), whose sum is σ = 127287100664640. Its totient is φ = 11246249836800.

The previous prime is 42301235221303. The next prime is 42301235221321. The reversal of 42301235221320 is 2312253210324.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (42301235221321) 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 15 ways as a sum of consecutive naturals, for example, 532453171 + ... + 532532610.

It is an arithmetic number, because the mean of its divisors is an integer number (1988860947885).

Almost surely, 242301235221320 is an apocalyptic number.

42301235221320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42301235221320 is an abundant number, since it is smaller than the sum of its proper divisors (84985865443320).

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

42301235221320 is a wasteful number, since it uses less digits than its factorization.

42301235221320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064986126 (or 1064986122 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 42301235221320 its reverse (2312253210324), we get a palindrome (44613488431644).

The spelling of 42301235221320 in words is "forty-two trillion, three hundred one billion, two hundred thirty-five million, two hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 331 662 993 1324 1655 1986 2648 3310 3972 4965 6620 7944 9930 13240 19860 39720 1064985781 2129971562 3194957343 4259943124 5324928905 6389914686 8519886248 10649857810 12779829372 15974786715 21299715620 25559658744 31949573430 42599431240 63899146860 127798293720 352510293511 705020587022 1057530880533 1410041174044 1762551467555 2115061761066 2820082348088 3525102935110 4230123522132 5287654402665 7050205870220 8460247044264 10575308805330 14100411740440 21150617610660 42301235221320