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303223444140 = 2235371091253093
BaseRepresentation
bin1000110100110011000…
…01101001001010101100
31001222200011101221211010
410122121201221022230
514432000200203030
6351144322425220
730623105514561
oct4323141511254
91058604357733
10303223444140
11107661802621
124a924b02210
13227948b83c6
14109672b0868
157d4a68d6b0
hex46998692ac

303223444140 has 96 divisors (see below), whose sum is σ = 879972730560. Its totient is φ = 77952347136.

The previous prime is 303223444093. The next prime is 303223444151. The reversal of 303223444140 is 41444322303.

It is a happy number.

It is a super-2 number, since 2×3032234441402 (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 303223444098 and 303223444107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 384567 + ... + 868526.

It is an arithmetic number, because the mean of its divisors is an integer number (9166382610).

Almost surely, 2303223444140 is an apocalyptic number.

303223444140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

303223444140 is an abundant number, since it is smaller than the sum of its proper divisors (576749286420).

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

303223444140 is a wasteful number, since it uses less digits than its factorization.

303223444140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253251 (or 1253249 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 303223444140 its reverse (41444322303), we get a palindrome (344667766443).

The spelling of 303223444140 in words is "three hundred three billion, two hundred twenty-three million, four hundred forty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 109 111 148 185 218 222 327 370 436 444 545 555 654 740 1090 1110 1308 1635 2180 2220 3270 4033 6540 8066 12099 16132 20165 24198 40330 48396 60495 80660 120990 241980 1253093 2506186 3759279 5012372 6265465 7518558 12530930 15037116 18796395 25061860 37592790 46364441 75185580 92728882 136587137 139093323 185457764 231822205 273174274 278186646 409761411 463644410 546348548 556373292 682935685 695466615 819522822 927288820 1365871370 1390933230 1639045644 2048807055 2731742740 2781866460 4097614110 5053724069 8195228220 10107448138 15161172207 20214896276 25268620345 30322344414 50537240690 60644688828 75805861035 101074481380 151611722070 303223444140