Search a number
-
+
6441222450 = 23521323143617
BaseRepresentation
bin1011111111110110…
…10100000100110010
3121121220022000002110
411333323110010302
5101142423104300
62543053430150
7315422326125
oct57773240462
917556260073
106441222450
1128059a1843
1212b919b356
137b8611440
144516643bc
1527a740550
hex17fed4132

6441222450 has 96 divisors (see below), whose sum is σ = 17951101056. Its totient is φ = 1516584960.

The previous prime is 6441222407. The next prime is 6441222503. The reversal of 6441222450 is 542221446.

It is a super-3 number, since 3×64412224503 (a number of 30 digits) contains 333 as substring.

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

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 47 ways as a sum of consecutive naturals, for example, 26959 + ... + 116658.

It is an arithmetic number, because the mean of its divisors is an integer number (186990636).

Almost surely, 26441222450 is an apocalyptic number.

6441222450 is an abundant number, since it is smaller than the sum of its proper divisors (11509878606).

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

6441222450 is a wasteful number, since it uses less digits than its factorization.

6441222450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143668 (or 143663 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 6441222450 is about 80257.2267774062. The cubic root of 6441222450 is about 1860.6132068797.

Adding to 6441222450 its reverse (542221446), we get a palindrome (6983443896).

The spelling of 6441222450 in words is "six billion, four hundred forty-one million, two hundred twenty-two thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 23 25 26 30 39 46 50 65 69 75 78 115 130 138 150 195 230 299 325 345 390 575 598 650 690 897 975 1150 1495 1725 1794 1950 2990 3450 4485 7475 8970 14950 22425 44850 143617 287234 430851 718085 861702 1436170 1867021 2154255 3303191 3590425 3734042 4308510 5601063 6606382 7180850 9335105 9909573 10771275 11202126 16515955 18670210 19819146 21542550 28005315 33031910 42941483 46675525 49547865 56010630 82579775 85882966 93351050 99095730 128824449 140026575 165159550 214707415 247739325 257648898 280053150 429414830 495478650 644122245 1073537075 1288244490 2147074150 3220611225 6441222450